### Day 2 :

#### Keynote Forum

#### Mukunda P Das

Australian National University, Australia

###### Keynote: Quantum electronic transport and conductance anomaly in quasi-1D systems

Time : **09:00-09:45**

##### Biography:

Mukunda P Das is School Professor in Theoretical Physics. He is a Fellow of American Physical Society, Institute of Physics (UK) and Australian Institute of Physics. His research interest concerns the fundamental aspects of condensed matter, which include Superconductivity, Vortex Matter, Bose-Einstein Condensation, Meso- and Nanoscopic Systems, Strongly Correlated Electrons, Density Functional Theory and Theory of Disordered States. He is member of Editorial Boards of many international journals, namely J. Physics: Condensed Matter (IOP) (2002-12), and ASN J. NanoSci and Nanotech (IOP).

##### Abstract:

Electronic transport in quasi-one dimensional (1-D) systems is mainly studied in quantum point contact (QPC) and quantum wire devices. It was first reported in QPCs of high electron mobility devices of GaAs/GaAlAs heterostructure, where steps of differential conductance (G normalized to a quantum value G0 = 2e2/h) was observed as the gate voltage was varied. Since 1988 a number of other 1-D systems from Si metal-oxide field effect transistors, GaAs type other hetero-structures and constricted graphenes etc., exhibited the quantized steps. Apart from quantized steps of universal nature (having its occurrence at integral values n=1, 2, 3, etc., for G/G0 = n) there seems to be anomalies observed in many of the above systems at the nonintegral values. Generally there are two types of anomalies: (i) Thomas and coworkers are first to identify an anomalous structure in the conductance below the first quantized step in GaAs QPCs at about 0.7 (2e2/h). It has been argued that this (0.7 anomaly) is an intrinsic property caused by many-body effect, which appears to arise independent of the materials system. Although 0.7 anomaly has been discussed abundantly in the literature, a careful observation of conductance features in all the 1D conductors would reveal anomalies at various conductance values apart from at 0.7. They occur clearly at some elevated temperature and at nonzero magnetic fields. (ii) Another anomaly has been identified in the nonlinear transport regime at low temperatures as zero-bias peak in the differential conductance while sweeping the drain bias. It is called “zero-bias anomaly” (ZBA). Explanation of these anomalies is mainly by two ideas: (1) an assumption of spontaneous spin polarization (SSP) and (2) presence of a many-body state arising out of Kondo physics. In this talk we shall critically discuss experimental findings and present various theoretical methods to explain the observed anomalies.

__Recent Publications:__

[1] Das M, Green F (2017) Conductance anomalies in quantum point contacts and 1D wires. Adv Nat Sc: Nanosci Nanotech 8: 023001 (7pp)

[2] Das M, Green F (2012) Nonequilibrium mesoscopic transport: a genealogy. J Phys:Condens Matter 24: 183201 ( 12pp)

[3] Das M, Green F (2009) Mesoscopic transport revisted. J Phys:Condens Matter 21: 101001 (5pp)

[4] Das M. Green F (2009) Dissipation in a quantum wire: Facts and fantasy, arXiv: 0901.0406v1 [cond-mat.mes-hall] 5 Jan 2009 (pp9).

[5] Das M, Green F (2003) Landauer formula without Landauer’s assumptions, J Phys:Condens Matter 15: L687- 693.

#### Keynote Forum

#### Menas C Kafatos

Chapman University, USA

###### Keynote: Universal quantum laws, health and well-being

Time : **09:45-10:45**

##### Biography:

Menas C Kafatos is the Fletcher Jones Endowed Professor of Computational Physics, at Chapman University. He is a Quantum Physicist, Cosmologist, and Climate Change Researcher and works extensively on consciousness. He holds seminars and workshops for individuals and corporations on the natural laws that apply everywhere and are the foundations of the universe, for well-being and success. His Doctoral thesis advisor was the renowned MIT Professor Philip Morrison who studied under J Robert Oppenheimer. He has authored 315+ articles, is author or editor of 17 books, including “The Conscious Universe” (Springer), “Looking In, Seeing Out” (Theosophical Publishing House), and is co-author with Deepak Chopra of the NYT bestseller book, “You Are the Universe” (Harmony). He maintains a Huffington Post blog.

##### Abstract:

Quantum mechanics has opened new horizons for science, technology and all human endeavors. Both science and spiritual traditions seek unity, one by exploring the outer world, the other by exploring the inner world. The existence of un versal Laws which emerge from deep understanding of quantum mechanics, implies that we can approach science, health, wellbeing and medicine in a common philosophical framework. We explore what we have learned from quantum mechanics, phenomena such as entanglement, non-locality, the participatory nature of the universe, how they may apply to health, wellbeing and specifically to oriental medicine. The universal principles of Integrated Polarity, Recursion and Flow apply to all levels of existence and all human activities. There is a distinct possibility that what we have learned from quantum mechanics will provide clues to better understanding of the operational principles of oriental medicine, health and well-being. Common to all frameworks is the assertion that conscious Awareness is the foundation of the universe and the inner core of all human beings. Applications of quantum mechanics will extend beyond science and engineering to human beings themselves.

**Recent Publications:**

[1] Kafatos, M.C. (2015). Fundamental Mathematics of Consciousness Cosmos and History: The Journal of Natural and Social Philosophy, 11(2):175-188 http://www.cosmosandhistory.org/index.php/journal

[2] Theise, N.D., Kafatos, M.C. (2016) Fundamental Awareness: A Framework for Integrating Science, Philosophy and Metaphysics Communicative & Integrative Biology 9(3):00-00

[3] Kafatos, M.C., Yang, K-H. (2016) The Quantum Universe: the Philosophical Foundations and Oriental Medicine, Integrative Medicine Research, Elsevier http://www.sciencedirect.com/science/article/pii/S2213422016300920

[4] Kafatos, M.C., Narasimhan, A., (2016) Mathematical Frameworks for Consciousness, Cosmos and History: The Journal of Natural and Social Philosophy, 12(2) http://cosmosandhistory.org/index.php/journal/article/view/556/909

[5] Narasimhan, A., Kafatos, M.C., (2016) Wave Particle Duality, the Observer and Retrocausality, Retrocausality Conference, AIP, 9 pages

[6] Narasimhan, A., Kafatos, M.C., (2016) Exploring Consciousness through the Qualitative Content of Equations, Cosmos and History: The Journal of Natural and Social Philosophy, 12(2) http://www.cosmosandhistory.org/index.php/journal/article/view/556

#### Keynote Forum

#### Yuri I Ozhigov

1 Moscow State University of Lomonosov, Russia

2 Institute of Physics and Technology - RAS, Russia

###### Keynote: Revision of abstract quantum computer: Why do we need and how to build it?

Time : **11:05-12:05**

##### Biography:

Yuri I Ozhigov was educated in Moscow State University of Lomonosov – MSU (Faculty of Mechanics and Mathematics in 1979) and obtained PhD degree in Algebra in 1982. He worked as Researcher in IT of building industry, then was Assistant Professor and Associate Professor in Moscow Textile Institute and Moscow Institute of Instruments and Tools (STANKIN). In 2000, he is leading Researcher in Institute of Physics and Technology of Russian Academy of Sciences (FTIAN). He obtained Doctor of Science degree in Theoretical Physics. From 2001, he is Full Professor of MSU (Faculty of Computational Mathematics and Cybernetics - VMK).

##### Abstract:

The direct simulation of life via computers is impossible. We need to do it on the quantum level, where the complexity grows exponentially. Feynman's idea is to let us build a quantum computer as a device consisting of simple quantum gates like the ordinary computer consists of transistors. And this is suitable to this theory. Experiments have shown that the decoherence is the fundamental factor, which cannot be overcome as we suppress errors in classical computations. Two facts are: the existence of the fast quantum algorithms and decoherence as the stumbling block show that we still don't quite understand how to apply quantum mechanics to complex systems. This area requires the detailed computer simulation and further experiments aimed not to single-particle but to complex phenomena in collectives of distinguishable particles. Lower bounds of quantum complexity show that quantum computer can speedup exactly tasks, which can be speedup by parallel classical performance that confirms the deep connections between quantum and classical computational parallelism. We put forward the hypothesis about universal character of classical algorithms. Any complex evolution of quantum system can be simulated classically. It means that the fundamental source of decoherence is the lack of classical memory of an abstract simulating computer. It seems very plausible that quantum computer in its specific form works in the living matter. This ''biological quantum computer'' differs from Feynman's model but it is essentially quantum and it really works. Such interesting quantum effects as dephasing assisted transport (DAT) in green sulfur bacteria, probable quantum mechanisms of olfactory and magneto reception of birds and insects can be simulated on the existing computers by the extremely simplified "qubit" models.

- Quantum Information and Quantum Computing | Quantum Optics | In Depth Quantum Mechanics | Quantum Mechanics Interpretations | Quantum Transport and Dissipation | Physical Mathematics | Quantum Technology

##### Location: v.Kleist

#### Chair

#### Eliade Stefanescu

Center of Advanced Studies in Physics of the Romanian Academy, Romania

#### Co-Chair

#### Hazel Cox

University of Sussex, UK

#### Session Introduction

#### Valentyn A Nastasenko

Kherson State Maritime Academy, Ukraine

###### Title: New principles of solving the problem of combining the gravitational and electromagnetic fields

Time : **12:05-12:30**

##### Biography:

Valentyn A Nastasenko is a Professor of Department of Transport Technologies of Kherson State Maritime Academy, Kherson. He is a Candidate of TechnicalSciences (PhD). His specialization is in quantum physics and basis of the material world. He has more than 100 published articles in this sphere.

##### Abstract:

Strict physical regularities were obtained for the first time that allows to single out wave characteristic p from gravitational constant G which is identified with the frequency of gravitational field. On this base, other wave and substance parameters were strictly defined and their numerical values obtained. It was proved that gravitational field with the given wave parameters can be unified only with electromagnetic field having the same wave parameters that's why it is possible only on Plank's level of world creation. The solution of given problems is substantiated by well-known physical laws and has great theoretical and practical importance for understanding the fundamentals of material world and the Universe as a whole which is urgent not only for the development of physics but also for the development of other fields of science, within the frames of the necessity of constant widening of knowledge about material world and physical fields which make it up.

#### Alexey A Kryukov

University of Wisconsin College, USA

###### Title: On the motion of macroscopic bodies in quantum theory

Time : **14:20-14:45**

##### Biography:

Prof. Kryukov received his doctoral degree from the School of Mathematics of the University of Minnesota and from Division of Theoretical Physics, Department of High Energy Physics of St. Petersburg State University. He is currently professor of mathematics at the Department of Mathematics, University of Wisconsin Colleges. His research interests are in Functional Analysis, Differential Geometry, and Quantum Theory and General Relativity. His recent publications in JMP, Physics Letters and Foundations of Physics are dedicated to finding a bridge between classical and quantum physics and gravity.

##### Abstract:

Quantum observables can be identified with vector fields on the sphere of normalized states. The resulting vector representation is used in this paper to undertake a simultaneous treatment of macroscopic and microscopic bodies in quantum mechanics. Components of the velocity and acceleration of state under Schroedinger evolution are given for a clear physical interpretation. Solutions to Schroedinger and Newton equations are shown to be related beyond the Ehrenfest results on the motion of averages. A formula relating the normal probability distribution and the Born rule is found.

#### Aleksey Fedorov

Russian Quantum Center, Russia

###### Title: Quantum key distribution networks and their applications for blockchain-based technologies

Time : **12:30-12:55**

##### Biography:

Aleksey Fedorov graduated from Bauman Moscow State Technical University (MS, 2016) and COMPLETED PhD from University of Paris-Saclay (2017). For excellent academic achievements, he was awarded by a number of prestigious scholarships such as Russian Federation Government Scholarship (2013-2014), Russian President Scholarship (2014-2015), Bauman University Scientific Committee Scholarship (2014), Bauman University Alumni Club Scholarship (2015), and many others. His research activities were recognized by the RQC fellowship for undergraduate students (2013-2015) and the Dynasty Foundation Fellowship for undergraduate students (2014-2015). Research interests are at the interface of quantum optics, atomic and molecular physics, condensed matter physics, and quantum information science.

##### Abstract:

The blockchain is a distributed ledger platform with high Byzantine fault tolerance, which enables achieving consensus in a large decentralized network of parties who do not trust each other. A paramount feature of blockchains is the accountability and transparency of transactions, which makes it attractive for a variety of applications ranging from smart contracts and finance to manufacturing and healthcare. Blockchain relies on two one-way computational technologies: hash functions and digital signatures. Most blockchain platforms rely on the elliptic curve public-key cryptography or the integer factorization problem to generate a digital signature. The security of these algorithms is based on the assumption of computational complexity of certain mathematical problems. A universal quantum computer would enable efficient solving of these problems, thereby making digital signatures, including those used in blockchains, insecure. A way to guarantee authentication in the quantum era is to use quantum key distribution, which guarantees information-theoretic security based on the laws of quantum physics. Quantum key distribution is able to generate a secret key between two parties connected by a quantum channel (for transmitting quantum states) and a public classical channel (for post processing). In this contribution, we describe a blockchain platform that is based on quantum key distribution and implement an experiment demonstrating its capability in a three-node urban quantum key distribution network. We believe this scheme to be robust against not only the presently known capabilities of the quantum computer, but also those that may potentially be discovered in the future to make post-quantum cryptography schemes vulnerable. The utility of quantum key distribution for blockchains may appear counterintuitive, as quantum key distribution networks rely on trust among nodes, whereas the earmark of many blockchains is the absence of such trust. Employing quantum key distribution for communication between two parties via a direct quantum channel permits these parties to authenticate each other. That is, nobody can pretend to be somebody else when introducing a transaction. Quantum key distribution, in combination with classical consensus algorithms, can be then used in lieu of classical digital signatures.

#### Nathan Welch

University of Nottingham, UK

###### Title: Vibrational state control of BECs using stochastic webs

Time : **13:55-14:20**

##### Biography:

Nathan Welch is a Research Fellow in Quantum Technologies at the University of Nottingham. His research focus is the design and optimisation of experimental quantum systems, including magnetic fields, optics and atom-surface coupling. Part of his PhD research involved modelling and optimising complex multicomponent electromagnetic systems, which included integrating the optical and magnetic sensitivity of atomic gases across the classical and quantum regimes. His work also included analysing phenomena such as chaotic atom motion in laser beams and Casimir attraction between atoms and condensed matter surfaces, including electronic control chips. He is particularly interested in using this insight to improve on previous system design and allowing new physical paradigms to be explored and exploited in new industry capabilities and products.

##### Abstract:

It has previously been shown that non-KAM chaotic motion can be exhibited in a range of systems, from semi-conductors to tokamak fusion reactors. We show that using this particular type of motion, we can controllably excite both non-interacting and repulsive Bose-Einstein condensates (BEC) with a travelling wave optical lattice (OL). We then show that the magnitude of this excitation is dictated by the spatial form of the OL whilst the depth of the OL controls its rate. This classical chaotic motion then enters the quantum regime when the magnitude of the excitation is set to only a few quanta of the quantum harmonic oscillator (QHO) level spacing. In this regime, we see a departure from the classical results and instead we see that for a set of key OL wavelengths, we can cause population transfer between different QHO states with unprecedented precision, as shown in figure. Further, we show that whilst superpositions of states are difficult to achieve, due to coupling between differing level populations, excitation schemes can be found which create desired superpositions of these semi-classical QHO Fock states. We show this by creating a range of cat states in a large number of atoms, which previously have only been achieved on such a scale in photonic and phononic systems. All of our theoretical models are based on experimentally achievable systems and so could be utilized in a wide range of applications from quantum computation, superpositions of large ensembles and the coupling of atoms to macroscopic objects.

##### Biography:

Eugene A Machusky is currently Head of the Department of Technical Information Protection Systems, Scientific Director of Special Design Bureau "Storm" in National Technical University of Ukraine "Kyiv Polytechnic Institute" (KPI), Kyiv, Ukraine. He received Master’s in Engineering (1974), PhD (1979), DSc (1989) from NTUU-KPI. He is a Research Visitor at University of North Wales (1983-1984, Bangor, UK), Visiting Professor at Harbin Technological University (2015-2018), China. He is the Author and Editor of Radio Engineering Encyclopedia (Kyiv 1999; Moscow 2002, 2009, 2016) has written articles in Great Ukrainian Encyclopedia (2016, 2017). His field of interest include: Microwave Electronics, Underwater Acoustics, Information Security, Mathematical linguistics

##### Abstract:

The absolute quantum metric of 3D-motion of spheric wave fronts was developed using the rigorous parabolic, hyperbolic, trigonometric and logarithmic relationships of the geometric parameters of the pulsating and rotating spiral. It was discovered that one matrix expression [G] = 2*PI*[R]*(1+[A]), four rational numbers A = 137 (Sommerfeld's integer), B = 602214183 (Avogadro's integer), R = Integer{10^8*(C/10^7)^(1/64)}/10^8 = 1.05456978 (Dirac's radius), C = (R+4*PI*C/10^18)^64*10^7 = 299792457.86759104 (Maxwell's speed) and two transcendental numbers PI and E is sufficient to calculate twelve gauge parameters that completely describe and absolutely coordinate all basic constants of thermodynamics, electrodynamics and gravidynamics. It was also discovered that the radii and eccentricities of the pulsating and rotating spiral are linked by the equation R = 1+2/100*(E+ A*(1+Sqrt(2*PI*E)/10))) where Sqrt(2*PI*E) is the argument of the information entropy of the normal distribution. The expression [P] = 2*PI*[R] generates the Planck's perimeter matrix. The expression [G] = [P]*(1+[A]) generates the Newton’s density matrix. The expression [KB] = Cos(12-[A]/10) - Sin(12- [A]/10) generates the Boltzmann’s polarization matrix. The information entropy matrix of Avogadro is generated instantly by the matrix expression [NA] = 100*{Sqrt[8*PI*E/(8*PI*E+137^2]/(1+2*[A]/1000) - 5/10^8}. The Maxwell's speed has been obtained from the equations C = (R+4*PI*C/10^18)^64*(10^7) and C = (R+4*PI/10^18)^64/(10^1). The decimal orders of fundamental quantum constants are obtainable from the approximate expression E^137 = (100*PI)*(10^57) and Wien’s wavelength displacement formula for the blackbody irradiation. We would like to draw your attention to the fact that for the first time the absolute values of the speed of light, background temperature, fine structure, elementary charge, molar mass, gravitation, Kelvin's, Avogadro's, Boltzmann's and Planck's units were determined analytically without the use of artifacts such as m, s, kg, without the use of Feynman's energy diagrams and without any measurements at all. All quantum constants are, in fact, the harmonic medians of the half-normal and the log-normal distributions of the normalized space-time parameters of spherical waves and all calculated values lie within the uncertainty of the latest NIST data. Thus, the proposed unified metric can be used as the basis of the New SI-2018 measurement system.

The presented analytics can be interpreted as the logarithmically compressed 2D-image of the 3D-motion of the pulsating sphere and as the matrix bridge between continuous and discrete mathematics. Having as a tool the modified Euler’s formula E^(j*PI) +1 = [A]/ (10^57), we can say: "The way to quantum programming and computing is opened".

#### Dmytro Progonov

NTUU - KPI, Ukraine

###### Title: Information entropy of quantum dynamics

Time : **15:10-15:35**

##### Biography:

Dmytro O. Progonov holds position of Associate Professor in Dept. of Physics and Information Security Systems, NTUU “KPI”. He received M.Sc. (2013) and PhD (2016) in information protection systems from KPI. Fields of interest: Information Security, Digital Media Steganalysis, Machine Learning and Big Data Analysis.

##### Abstract:

Analytically it is established: all fundamental constants of quantum physics are quasi-harmonic functions of information entropy argument Sqrt(2*PI*E) of normal distribution. Information entropy of quantum calculus is fundamental law of nature, which cannot be less than 10^(-64) (binary calculus) and about 1/137/(10^57) (decimal calculus). In polar coordinates the minimal information entropy of relative geometrical parameters cannot be less than 10^(-17) because of the unique 17-digit mirror symmetry of squared 9-digit qubit:

(111111111)^2 = 12345678987654321 (finite mirror symmetry),

(111111111...)^2 = 123456790123456790...(infinite periodic symmetry),

(111111111...)^3 = 137174211248285322...(cubed infinite qubit).

It is easy to show that

AS = 1/100/(1.11111...)^3= 1/Sum{[137+(137-100)*n]/10^(3*n)],

AS = 0.00729 = (9^3)/(10^5),

where the so called Feynman-Born-Eddington-Sommerfeld "magic alpha-number" 1/137 = 0.0072992700729927...= Sum{729927/10^(8*n)} is unique number of infinite mirror symmetry of reciprocal natural set. Square of sum of root mean, of arithmetical mean, of geometrical mean and of harmonic mean of two transcendental numbers PI and E the SMS ={sqrt[(PI^2+E^2 )/2]+(PI+E)/2+sqrt(PI*E)+2*PI*E/(PI+E)}^2, this is very close to 137, and E^137 is very close to 100*PI*10^57.

The second "magic number" of quantum physics is the Avogadro's integer 602214183:

Sum{602214183/(10^3*n+11)} = 0.00602816999...999397183 = 0.0062817 = BS.

The Sum (E+AS+BS) instantly gives us the exact 17-digit Kelvin's number K = 2.7315999984590452. Exact entropy value of normalized Maxwell's rotational speed is obtained instantly from two transcendental equations:

C = (R+4*PI*C/10^18)^64*(10^7) = 2.9979245786759134*(10^8), C = (R+4*PI*C/10^18)^(64)/(10) = 2.9979245786759074*(10^8), where R = Integer{10^8*(C/10^7)^(1/64)}/(10^8) = 1.05456978. Thus, the information entropy of speed of light value is about (60/2)/(10^16).

As an example, the information entropy of quantum calculus is illustrated in the table 1 by the comparison of transcendental number Cos(PI/6) and irrational number Sqrt(3)/2.

All the fundamental constants of quantum physics are, in fact, the relative geometric parameters of pulsating and rotating spirals or the parameters of the connection of integers with irrational numbers that create the holographic two-dimensional image of the three-dimensional motion of wave fronts. It can be shown that the information entropy of quantum units changes from 10^(-4) for the gravitation constant up to 10^(-16) for the fine structure constant. And there is no need to use any artifacts, such as m, s, kg, in any metric system, because Quantum Physics, as a whole, is an absolute universal relative dynamic metric system, a digital bridge between continuous and discrete mathematics.

#### Adriana Palffy

Max Planck Institute for Nuclear Physics, Germany

###### Title: X-ray quantum optics

Time : **15:35-16:00**

##### Biography:

Adriana Palffy has studied Physics in Bucharest, Romania, and received her PhD in theoretical physics at the Justus Liebig University in Giessen, Germany. Since 2011 she is the Leading Scientist of the group Nuclear and Atomic Quantum Dynamics at the Max Planck Institute for Nuclear Physics in Heidelberg, Germany. Among her research interest, covering the interface between atomic and nuclear physics and quantum optics, she has been an active participant in the development of the burgeoning field of x-ray quantum optics. Seminal works include the theoretical study of the interaction of x-ray free electron laser radiation with matter, storage and coherent control of single x-ray quanta, and an optomechanical interface of optical and x-ray photons.

##### Abstract:

Recent years have witnessed the commissioning of coherent x-ray sources opening the new field of x-ray quantum optics. While not yet as advanced as its optical counterpart, it may enable coherent control of x-rays, with potential applications for the fields of metrology, material science, quantum information, biology and chemistry. Compared to optical photons, x-rays profit from better detection, robustness, high penetrability and, due to their shorter wavelength, focussability, pushing the diffraction limit far beyond present-day limitations. These advantages bring into focus x-rays for promising applications for instance as future information carriers, or for novel probing technologies based on quantum effects. Due to their suitable transition energies, nuclei rise as candidates for the resonant interaction with coherent x-ray light. Here, we investigate how to use nuclear transitions in the x-ray regime to manipulate single x-ray quanta. The key for such control is the use of Mossbauer transitions in solid-state targets which enable collective effects to come into play in the nuclear excitation and decay processes. Particularly successful systems to exploit collective effects of nuclei in x-ray single-photon superradiance have proved to be thin-film planar x-ray cavities with an embedded ^{57}Fe nuclear layer. For instance, we have shown that narrow-band x-ray pulses can be mapped and stored as nuclear coherence in a thin-film planar x-ray cavity with an embedded iron layer. Further control can be achieved by coupling x-ray quanta to an optomechanical device. We have demonstrated theoretically that using resonant interactions of x-rays with nuclear transitions, in conjunction with an optomechanical setup interacting with optical photons, an optical-x-ray interface can be achieved. Such a device would allow to tune x-ray absorption spectra and eventually to shape x-ray wavepackets for single photons by optomechanical control. We show that optomechanically induced transparency of x-rays can be achieved in the optical-x-ray interface paving the way for both metrology and an unprecedentedly precise control of x-rays using optical photons.

**Figure:** Thin-film planar cavity setup with x-ray grazing incidence. The cavity consists of a sandwich of Pd and C layers with a 1nm layer containing ^{57}Fe placed at the antinode of the cavity. The nuclei experience a hyperfine magnetic field B (red horizontal arrow). Inset panel: ^{57}Fe level scheme with hyperfine splitting.

#### Rosa Tualle-Brouri

Université Paris Sud, France

###### Title: Iterative generation of non-classical states of light

Time : **16:20-16:45**

##### Biography:

Rosa Tualle-Brouri is Professor at Institut d’Optique Graduate School. She is a recognized expert in quantum information and quantum optics and was, from October 2010 to October 2015, a Junior Member of the Institut Universitaire de France. She’s leading the effort of the Continuous-Variable team in the Quantum Optics group which obtained several “world firsts” in the fields of continuous variables quantum cryptography and non-Gaussian states conditional generation.

##### Abstract:

Mesoscopic quantum states of light, which may contain several photons and present a complex quantum structure, could open very interesting new prospects in quantum optics. Optical Schrödinger cat states for instance, which are quantum superpositions of two coherent states (figure), could be used in quantum computing as they allow an implementation of all basic quantum gates by using only classical photonics tools: beamsplitters, phase shifters, photon counters. We show the possibility to generate such states very efficiently through the iteration of a quite simple operation: the superposition of two states on a beamsplitter, followed by a heralding quadrature measurement in one output port of this beamsplitter. We will discuss the potential of synchronized optical cavities in the pulsed regime to generate complex mesoscopic quantum states through such iterative schemes. Single-photons are a main resource for these targeted protocols, but pure states in well-defined spatio-temporal modes are required in order to perform relevant homodyne measurements. We will present a setup for high-rate single-photons generation, based on exaltation cavities in the pulsed regime, and discuss the way to synchronize this source with another cavity in order to have a quantum memory and to implement new kinds of innovative quantum protocols.

**Figure:** Theoretical Wigner Function of an Optical Schrödinger cat state, constituted by two coherent states clearly separated in the figure, and by oscillations in the center that are a signature of the quantum nature of the superposition.

#### Josef Oswald

Montanuniversität Leoben, Austria

###### Title: Many particle interactions in the integer quantum hall effect regime

Time : **16:45-17:10**

##### Biography:

Josef Oswald has his expertise in experimental and theoretical investigations of low dimensional electronic systems in the quantum Hall effect regime. Beginning with the epitaxial growth of so called doping super lattices and their experimental characterization he moved on to the realization of wide parabolic quantum wells which represent electronic systems in an intermediate regime between 2D and 3D. The results of this work led to new approaches for the modelling of carrier transport in high magnetic fields that finally turned out to be quite useful also for the pure integer quantum Hall effect regime.

##### Abstract:

Even more than 35 years after discovery of the integer quantum Hall effect (IQHE), it is widely believed that the IQHE regime is dominated by single-particle interactions. Up to date the widely accepted and state of the art model for screening in the IQHE regime is the model of Chlovskii, Shklovskii and Glazman (CSG) which is based on pure Hartree interactions. Recent scanning gate microscopy (SGM) experiments by Pascher et al. (ETH Zürich) indicate that the screening behaviour within the so called compressible stripes is much weaker than predicted by the CSG approach. In a recent paper, we argue that quite opposite to the common belief, the early models for the IQHE based on non-interacting single particles have been most successful not because of the absence, but rather due to the dominance of many-body effects. We utilize a fully self-consistent Hartree-Fock implementation and a network model for magneto transport close to equilibrium. Our results indicate a strong tendency of the electron system to avoid the simultaneous existence of partially filled spin-up and spin-down Landau levels (LL), similar to a Hund's rule for the occupation of the spin split LLs. Instead of a continuous lateral variation of the carrier density we get an exchange driven mixture of condensed clusters of full and empty LLs, which leads also to a reduced screening. At higher LLs these clusters are surrounded by novel halfodd integer stripes (Fig.1a) that serve as transmitting channels for transport (Fig.1b). In order to avoid a violation of the physics of coherent many-particle quantum transport, we use a network model for magneto transport that does not make explicit use of single carrier flow, but instead addresses the lateral transmission of the non-equilibrium chemical potential that is introduced by the current supply contacts. Various examples will be given for demonstrating the role of many body interactions.

**Figure:** a) Lateral filling factor distribution of the highest partly filled spin-up LL in the QH transition regime as obtained from the Hartree-Fock calculation. The filling factor rage around υ=1.5 is highlighted in light gray that clearly indicates a terrace like structure.

b) Lateral distribution of the injected non-equilibrium chemical potential as obtained from the non-equilibrium network model.

#### Nina H. Amini

Laboratoire des Signaux et Systèmes (L2S), France

###### Title: Coherent observers for linear quantum systems

Time : **17:10-17:35**

##### Biography:

Nina H. Amini is a CNRS researcher at Laboratory L2S at CentraleSupelec since October 2014. She did her first postdoc from June 2012 for six months at ANU, College of Engineering and Computer Science and her second postdoc at Edward L. Ginzton Laboratory, Stanford University since December 2012. She received her Ph.D. in Mathematics and Control Engineering from Mines-ParisTech (Ecole des Mines de Paris), in September 2012. Prior to her Ph.D., she earned a Master in Financial Mathematics and Statistics at ENSAE and the Engineering Diploma of l’Ecole Polytechnique, in 2009. Her research interests include stochastic control, quantum control, (quantum) filtering theory, (quantum) probability, and (quantum) information theory.

##### Abstract:

In classical control theory, an (state) observer is a dynamical system capable of con-verging asymptotically to a fixed system: specifically, if the fixed system, termed the plant, has variables x(t) (the dynamical state) then there are analogue dynamical variables, x~(t), of the observer such that the error e(t) = x(t) x~(t) tends to zero (at least on average) for large times. An observer is therefore a physical system that obtains information from a given plant system, and which simulates an internal replica dynamics converging asymptotically to the plant's through coupling/measurement. The concept was introduced by Luenberger and plays an important role in controller design. In the quantum setting, the observer may make continuous measurements on a quantum system, or instead interact coherently with the system. In the former case, the observer may also compute the conditioned state of system using a quantum filter (quantum trajectories), and control problems may be split into a separate observation and actuation stage. Of course, no such distinction arises in the classical case, however the goal there is to have an autonomous system and accordingly we restrict our interest will be in quantum coherent observers where the coupling between the plant and the observer is designed so as to achieve the desired convergence of real and simulated evolutions. In this talk, firstly we review different algorithms to design coherent quantum observers for linear quantum systems. Then, we give an explicit construction for a quantum observer coherently replicating the dynamics of a cavity mode system, without any disturbance of the system's dynamics. This gives the exact analogue of the Luenberger observer used in controller design in engineering.