Day 1 :
Ohio State University, USA
Time : 09:45-10:30
Alexander Dynin received the PhD in Mathematics and Physics at Steklov Mathematical Institute (Russia) in 1961. During 1963-1968 he worked at the Joint Insititute of Nuclear Research (Dubna, Russia). The dissertation was awarded the premium of Moscow Mathematical in the year 1962. During 1977-1978 he was a member of the Institute of Advanced Studies (Princeton. the USA). During 1978-1980 was a professor at State University of New York and during 1980 -2014 a professor at Ohio State University (Columbus, Ohio), and since then a Professor Emeritus of Mathematics therein.
In 2000 the Clay Mathematics Institute proposed seven fundamental mathematical problems. Among others, the “Quantum Yang-Mills theory problem” requires a mathematically complete proof of a positive mass gap in the Yang-Mills spectrum on the four-dimensional Minkowski vector space. In contrast, the classical Lagrangian of Yang-Mills field theory has no mass quadratic form, but only a self-interaction quartic form. I review the background and the statement of the problem. Then I outline my Higgless solution via the canonical second quantization of classical Yang-Mills Hamiltonian. Details involve intrinsic properties of the classical Yang-Mills theory, such as global correctness of the Cauchy problem and the simplicity of the compact gauge group (to be explained). The canonical quantization is done in terms of the infinitely-dimensional holomorphic calculus of creation and annihilation operators (to be reviewed as well). Thus the non-linear classical Yang-Mills Hamiltonian functional generates a linear self-adjoint quantum Hamiltonian operator in the holomorphic Fock space. Then a positive mass gap is estimated from below via the spectral minimax principle.
University of Georgia, USA
Keynote: Online quantum computing
Time : 10:55-11:40
Michael R Geller received his PhD in physics from the University of California, Santa Barbara, in 1994, supervised by Walter Kohn. In 1997 he joined the faculty in the Department of Physics and Astronomy at the University of Georgia in Athens, where he is currently a Professor of Physics. His interests include superconducting quantum computation and quantum simulation. He has published more than 25 papers in this field, and his quantum computing research has been funded by the National Science Foundation and IARPA.
The operation of real quantum computers, including the implementation and characterization of a given quantum circuit or algorithm, has until recently been carried out exclusively by the experimental groups that design and make the hardware. In 2016, however, IBM Research opened their superconducting qubit devices to the quantum computing community, and Google has announced a similar intention. Several quantum computing start-ups have also announced their intent to provide some access to their technology for academic research purposes. The field is approaching a transition where a significant amount of quantum computing research and development can be performed online. And an online presence is especially important now because there are critical questions facing the realization of quantum computers that benefit from wide community input and experimentation. In this talk, I'll give an overview of our online quantum computing work, which is broadly focused on error modeling and error correction, quantum machine learning, and quantum simulation. In particular, I will discuss recent work (M. R. Geller, arXiv:1711.11026) on the Josephson Sampler circuit, used to embed classical information (e.g., images) into a chain of qubits. To assess the expressiveness of the Josephson Sampler circuit, we use it to generate pseudorandom unitaries, and we measure the quantum butterfly effect generated by the resulting quantum chaos. I will also discuss new work on the experimental measurement of the relative robustness of two common families of entangled states, GHZ states, and linear cluster states. We measure their fidelity and entanglement monotones versus time to study their decay in a noisy quantum computer, finding results that are in contrast with predictions of a standard T1, T2 Markovian decoherence model. These examples will show the rich variety of quantum computations that can already be accomplished using the IBM Quantum Experience API.
Deep Order Technologies, USA
Keynote: The fourfold composite quantum: The emergence of space, time, energy, and gravity, and some implications
Time : 11:40-12:25
Pravir Malik has a PhD in Technology Management with a focus on Mathematics of Innovation in Complex Systems from University of Pretoria, an MBA from JL Kellogg Graduate School of Management with a focus on Marketing and Organizational Behavior, an MS in Computer Science from University of Florida with a focus on AI, and a BSE in Computer Engineering from Case Western Reserve University. Pravir's current focus is on developing a unified theory and mathematics of organization with applications in a range of complex adaptive systems. He is the Head of Organizational Sciences at Zappos.com, and in this capacity is leading the development of the math, science, and engineering related to organizational learning, organizational ecology, organizational behavior, organizational psychology, organizational culture, and organizational theory. He is the author of a series of books on fractals and organizations, including 'Redesigning the Stock Market' and 'The Fractal Organization', published by SAGE, a leading global academic publisher. He recently authored a six-book series on 'Cosmology of Light' inspired by his research in CAS and is now writing a follow-up series on the implications of "one mathematics" in all things with applications for AI, Quantum Computing, and Transhumanism. He has held faculty positions at several institutions of higher learning.
Through the construction of a multi-layered, symmetrical, mathematical model this article explores quanta as an emergent phenomenon resulting from the slow-down of the speed of light from a native state of infinite speed to c. As a result of this slow-down, properties implicit to light in its native state ‘accumulate’ as quanta as it were, in order to allow such implicitness to express itself in a state of material diversity. The article proposes a mathematical process by which light at its native state symmetrically transforms to become light at c. In the process, implicit properties diversify to sets of related properties, whose elements combine in various ways to practically become an infinite set of unique seeds. The article suggests that space, time, gravity, and energy are themselves emergent and dependent on light. In fact, space is suggested as being the field in which unique seeds exist, time as the experience related to the maturity of the unique seeds, gravity as the inter-relation between the seeds, and energy as the process by which seeds materialize. The article suggests a composite fourfold quantum and applies the proposed space-time-gravity-energy quantum to a series of possible circumstances. The first four are more “normal” circumstance: At the atomic-particle level, at the unit-space level, at the level of a Big Planet, and in an Expanding Universe.The remaining circumstances are related more to the Theory of Relativity: As a particle approaches the speed of light, at a Black Hole level, and when a Cosmic Bounce occurs.