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George Siopsis

University of Tennessee Knoxville, Physics & Astronomy, Faculty Member

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Theoretical high energy physicist currently working on quantum information.
Phone: +1-865-974-7846
Address: Department of Physics and Astronomy
University of Tennessee
Knoxville, TN 37996-1200
USA

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Oleg Yu Vorobyev

Siberian Federal University

Kansas State University

Mariafelicia De Laurentis

Università degli Studi di Napoli "Federico II"

Gordon N Fleming

Pennsylvania State University

University of Illinois at Urbana-Champaign

Mohammed Najm Abdullah Al Salam

University of Technology/Iraq

Ashok Paranjothi

Sri Sairam Institute Of Technology

Aix-Marseille University

Jonathan D Maltz

Stanford University

Francisco Caruso

Centro Brasileiro de Pesquisas Físicas

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Papers by George Siopsis

Demonstration of Bayesian quantum game on an ion trap quantum computer

arXiv (Cornell University), Feb 22, 2018

We demonstrate a Bayesian quantum game on an ion trap quantum computer with five qubits. The play... more We demonstrate a Bayesian quantum game on an ion trap quantum computer with five qubits. The players share an entangled pair of qubits and perform rotations on their qubit as the strategy choice. Two five-qubit circuits are sufficient to run all 16 possible strategy choice sets in a game with four possible strategies. The data are then parsed into player types randomly in order to combine them classically into a Bayesian framework. We exhaustively compute the possible strategies of the game so that the experimental data can be used to solve for the Nash equilibria of the game directly. Then we compare the payoff at the Nash equilibria and location of phase-change-like transitions obtained from the experimental data to the theory, and study how it changes as a function of the amount of entanglement.

Quantum Prisoners' Dilemma under Enhanced Interrogation

arXiv (Cornell University), Nov 30, 2017

Physical realization of topological quantum walks on IBM-Q and beyond

arXiv (Cornell University), Oct 10, 2017

We discuss an efficient physical realization of topological quantum walks on a finite lattice. Th... more We discuss an efficient physical realization of topological quantum walks on a finite lattice. The N-point lattice is realized with log 2 N qubits, and the quantum circuit utilizes a number of quantum gates which is polynomial in the number of qubits. In a certain scaling limit, we show that a large number of steps is implemented with a number of quantum gates which is independent of the number of steps. We ran the quantum algorithm on the IBM-Q five-qubit quantum computer, thus experimentally demonstrating topological features, such as boundary bound states, on a lattice with N = 4 points.

Quantum Simulation for High-Energy Physics

PRX quantum, May 3, 2023

It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the ... more It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

Quantum computation of phase transition in interacting scalar quantum field theory

Quantum Information Processing

Toward quantum computations of the $O(3)$ model using qumodes

arXiv (Cornell University), Aug 14, 2023

We express the discrete 1+1-dimensional (3) non-linear sigma model (NL M) in a form wellsuited fo... more We express the discrete 1+1-dimensional (3) non-linear sigma model (NL M) in a form wellsuited for the continuous variable approach to quantum computing. Within the Schwinger boson formulation, we need two qumodes (quantum-mechanical oscillators) at each lattice site. We envision that it might be possible to reach the scaling regime of this model and observe asymptotic freedom on near-term photonic quantum devices in the coming decade.

Non-thermalizability of a quantum field theory

AMS/IP Studies in Advanced Mathematics, Jul 28, 1999

The problem of understanding the role of large gauge transformations in thermal field theories ha... more The problem of understanding the role of large gauge transformations in thermal field theories has recently inspired a number of studies of a one dimensional field theory. Such work has led to the conclusion that gauge invariance is restored only when the entire perturbation expansion can be summed. A careful reexamination of that model is shown, however, to lead to vastly different conclusions when the constraint implied by the field equations is explicitly taken into account. In particular it is found that none of the relevant propagators has any temperature dependence and that the effective action is essentially trivial. A generalization of the model to include bosons as well as fermions is also solved with qualitatively identical results being obtained.

Quantum Algorithm for Simulating Scalar Quantum Electrodynamics Field Theory

Bulletin of the American Physical Society, Mar 14, 2017

Family symmetry, the anomalous 𝑈(1), and neutrino mixing

AMS/IP studies in advanced mathematics, Jul 28, 1999

On analytic approach to perturbative quantum chromodynamics

American Mathematical Society eBooks, Jul 28, 1999

Berry’s connection in a quantum relativistic description of the curved space analogue of development

American Mathematical Society eBooks, Jul 28, 1999

Numerical evolution in time of curvature perturbations in Kerr black holes

American Mathematical Society eBooks, Jul 28, 1999

In this paper I will review the basic features of the theory of curvature perturbations in Kerr s... more In this paper I will review the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the Teukolsky equation. I will describe how to evolve generic perturbations about the Kerr metric and the separable form of the wave solutions that one obtains, and the relation of the Teukolsky function to the energy of gravitational waves emitted by the black hole. A discussion of a numerical scheme to evolve perturbations as a function of time and some preliminary results of our research project implementing it for matter sources falling into the black hole is included.

Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum

AMS/IP studies in advanced mathematics, Jul 28, 1999

Page 95. AMS/IP Studies in Advanced Mathematics Volume 13. 19&lt; J9 RANDOM MOTION OF QUANTUM... more

Quantum Persistent Homology for Time Series

arXiv (Cornell University), Nov 8, 2022

Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data... more Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data through tracking topological features across changes in different scales. Classical algorithms for persistent homology are often constrained by running times and memory requirements that grow exponentially on the number of data points. To surpass this problem, two quantum algorithms of persistent homology have been developed based on two different approaches. However, both of these quantum algorithms consider a data set in the form of a point cloud, which can be restrictive considering that many data sets come in the form of time series. In this paper, we alleviate this issue by establishing a quantum Takens's delay embedding algorithm, which turns a time series into a point cloud by considering a pertinent embedding into a higher dimensional space. Having this quantum transformation of time series to point clouds, then one may use a quantum persistent homology algorithm to extract the topological features from the point cloud associated with the original times series.

Quantum Persistent Homology for Time Series

2022 IEEE/ACM 7th Symposium on Edge Computing (SEC)

Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data... more Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data through tracking topological features across changes in different scales. Classical algorithms for persistent homology are often constrained by running times and memory requirements that grow exponentially on the number of data points. To surpass this problem, two quantum algorithms of persistent homology have been developed based on two different approaches. However, both of these quantum algorithms consider a data set in the form of a point cloud, which can be restrictive considering that many data sets come in the form of time series. In this paper, we alleviate this issue by establishing a quantum Takens's delay embedding algorithm, which turns a time series into a point cloud by considering a pertinent embedding into a higher dimensional space. Having this quantum transformation of time series to point clouds, then one may use a quantum persistent homology algorithm to extract the topological features from the point cloud associated with the original times series.

Quantum Persistent Homology

arXiv (Cornell University), Feb 25, 2022

Persistent homology is a powerful mathematical tool that summarizes useful information about the ... more Persistent homology is a powerful mathematical tool that summarizes useful information about the shape of data allowing one to detect persistent topological features while one adjusts the resolution. However, the computation of such topological features is often a rather formidable task necessitating the sub-sampling the underlying data. To remedy this, we develop an efficient quantum computation of persistent Betti numbers, which track topological features of data across different scales. Our approach employs a persistent Dirac operator whose square yields the persistent combinatorial Laplacian, and in turn the underlying persistent Betti numbers which capture the persistent features of data. We also test our algorithm on point cloud data.

Nonlinearity and self-similarity: Wavelets and compactons on a physical background

We propose a generalized Lagrangian capable of describing in an unifying mode, different nonlinea... more We propose a generalized Lagrangian capable of describing in an unifying mode, different nonlinear dynamical systems and wavelets; for example Korteweg-de Vries (KdV) solitons, K(2,2) compactons and Morlet continuous wavelets. We give a procedure to associate any discrete wavelet, that is any multi-scale finite-difference equation a corresponding Lagrangian and algebraic structure. We focus upon introduction of a nonlinear wavelet-like basis made by localized analytical nonlinear solutions. We introduce a method, based on Morlet wavelet, to provide a relation between the amplitude, width and velocity of the traveling solutions of certain nonlinear equations.

Dynamical symmetry approach to quantum many-body problems

Quantum Computation of the Ground and Excited State Energies Using Quantum Imaginary Time Evolution and Quantum Lanczos Methods

Bulletin of the American Physical Society, 2020

Stochastic quantization approach to ≤1 open-closed string field theories

Demonstration of Bayesian quantum game on an ion trap quantum computer

arXiv (Cornell University), Feb 22, 2018

We demonstrate a Bayesian quantum game on an ion trap quantum computer with five qubits. The play... more We demonstrate a Bayesian quantum game on an ion trap quantum computer with five qubits. The players share an entangled pair of qubits and perform rotations on their qubit as the strategy choice. Two five-qubit circuits are sufficient to run all 16 possible strategy choice sets in a game with four possible strategies. The data are then parsed into player types randomly in order to combine them classically into a Bayesian framework. We exhaustively compute the possible strategies of the game so that the experimental data can be used to solve for the Nash equilibria of the game directly. Then we compare the payoff at the Nash equilibria and location of phase-change-like transitions obtained from the experimental data to the theory, and study how it changes as a function of the amount of entanglement.

Quantum Prisoners' Dilemma under Enhanced Interrogation

arXiv (Cornell University), Nov 30, 2017

Physical realization of topological quantum walks on IBM-Q and beyond

arXiv (Cornell University), Oct 10, 2017

We discuss an efficient physical realization of topological quantum walks on a finite lattice. Th... more We discuss an efficient physical realization of topological quantum walks on a finite lattice. The N-point lattice is realized with log 2 N qubits, and the quantum circuit utilizes a number of quantum gates which is polynomial in the number of qubits. In a certain scaling limit, we show that a large number of steps is implemented with a number of quantum gates which is independent of the number of steps. We ran the quantum algorithm on the IBM-Q five-qubit quantum computer, thus experimentally demonstrating topological features, such as boundary bound states, on a lattice with N = 4 points.

Quantum Simulation for High-Energy Physics

PRX quantum, May 3, 2023

It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the ... more It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

Quantum computation of phase transition in interacting scalar quantum field theory

Quantum Information Processing

Toward quantum computations of the $O(3)$ model using qumodes

arXiv (Cornell University), Aug 14, 2023

We express the discrete 1+1-dimensional (3) non-linear sigma model (NL M) in a form wellsuited fo... more We express the discrete 1+1-dimensional (3) non-linear sigma model (NL M) in a form wellsuited for the continuous variable approach to quantum computing. Within the Schwinger boson formulation, we need two qumodes (quantum-mechanical oscillators) at each lattice site. We envision that it might be possible to reach the scaling regime of this model and observe asymptotic freedom on near-term photonic quantum devices in the coming decade.

Non-thermalizability of a quantum field theory

AMS/IP Studies in Advanced Mathematics, Jul 28, 1999

The problem of understanding the role of large gauge transformations in thermal field theories ha... more The problem of understanding the role of large gauge transformations in thermal field theories has recently inspired a number of studies of a one dimensional field theory. Such work has led to the conclusion that gauge invariance is restored only when the entire perturbation expansion can be summed. A careful reexamination of that model is shown, however, to lead to vastly different conclusions when the constraint implied by the field equations is explicitly taken into account. In particular it is found that none of the relevant propagators has any temperature dependence and that the effective action is essentially trivial. A generalization of the model to include bosons as well as fermions is also solved with qualitatively identical results being obtained.

Quantum Algorithm for Simulating Scalar Quantum Electrodynamics Field Theory

Bulletin of the American Physical Society, Mar 14, 2017

Family symmetry, the anomalous 𝑈(1), and neutrino mixing

AMS/IP studies in advanced mathematics, Jul 28, 1999

On analytic approach to perturbative quantum chromodynamics

American Mathematical Society eBooks, Jul 28, 1999

Berry’s connection in a quantum relativistic description of the curved space analogue of development

American Mathematical Society eBooks, Jul 28, 1999

Numerical evolution in time of curvature perturbations in Kerr black holes

American Mathematical Society eBooks, Jul 28, 1999

In this paper I will review the basic features of the theory of curvature perturbations in Kerr s... more In this paper I will review the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the Teukolsky equation. I will describe how to evolve generic perturbations about the Kerr metric and the separable form of the wave solutions that one obtains, and the relation of the Teukolsky function to the energy of gravitational waves emitted by the black hole. A discussion of a numerical scheme to evolve perturbations as a function of time and some preliminary results of our research project implementing it for matter sources falling into the black hole is included.

Random motion of quantum harmonic oscillator-Thermodynamics of nonrelativistic vacuum

AMS/IP studies in advanced mathematics, Jul 28, 1999

Page 95. AMS/IP Studies in Advanced Mathematics Volume 13. 19&lt; J9 RANDOM MOTION OF QUANTUM... more

Quantum Persistent Homology for Time Series

arXiv (Cornell University), Nov 8, 2022

Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data... more Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data through tracking topological features across changes in different scales. Classical algorithms for persistent homology are often constrained by running times and memory requirements that grow exponentially on the number of data points. To surpass this problem, two quantum algorithms of persistent homology have been developed based on two different approaches. However, both of these quantum algorithms consider a data set in the form of a point cloud, which can be restrictive considering that many data sets come in the form of time series. In this paper, we alleviate this issue by establishing a quantum Takens's delay embedding algorithm, which turns a time series into a point cloud by considering a pertinent embedding into a higher dimensional space. Having this quantum transformation of time series to point clouds, then one may use a quantum persistent homology algorithm to extract the topological features from the point cloud associated with the original times series.

Quantum Persistent Homology for Time Series

2022 IEEE/ACM 7th Symposium on Edge Computing (SEC)

Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data... more Persistent homology, a powerful mathematical tool for data analysis, summarizes the shape of data through tracking topological features across changes in different scales. Classical algorithms for persistent homology are often constrained by running times and memory requirements that grow exponentially on the number of data points. To surpass this problem, two quantum algorithms of persistent homology have been developed based on two different approaches. However, both of these quantum algorithms consider a data set in the form of a point cloud, which can be restrictive considering that many data sets come in the form of time series. In this paper, we alleviate this issue by establishing a quantum Takens's delay embedding algorithm, which turns a time series into a point cloud by considering a pertinent embedding into a higher dimensional space. Having this quantum transformation of time series to point clouds, then one may use a quantum persistent homology algorithm to extract the topological features from the point cloud associated with the original times series.

Quantum Persistent Homology

arXiv (Cornell University), Feb 25, 2022

Persistent homology is a powerful mathematical tool that summarizes useful information about the ... more Persistent homology is a powerful mathematical tool that summarizes useful information about the shape of data allowing one to detect persistent topological features while one adjusts the resolution. However, the computation of such topological features is often a rather formidable task necessitating the sub-sampling the underlying data. To remedy this, we develop an efficient quantum computation of persistent Betti numbers, which track topological features of data across different scales. Our approach employs a persistent Dirac operator whose square yields the persistent combinatorial Laplacian, and in turn the underlying persistent Betti numbers which capture the persistent features of data. We also test our algorithm on point cloud data.

Nonlinearity and self-similarity: Wavelets and compactons on a physical background

We propose a generalized Lagrangian capable of describing in an unifying mode, different nonlinea... more We propose a generalized Lagrangian capable of describing in an unifying mode, different nonlinear dynamical systems and wavelets; for example Korteweg-de Vries (KdV) solitons, K(2,2) compactons and Morlet continuous wavelets. We give a procedure to associate any discrete wavelet, that is any multi-scale finite-difference equation a corresponding Lagrangian and algebraic structure. We focus upon introduction of a nonlinear wavelet-like basis made by localized analytical nonlinear solutions. We introduce a method, based on Morlet wavelet, to provide a relation between the amplitude, width and velocity of the traveling solutions of certain nonlinear equations.

Dynamical symmetry approach to quantum many-body problems

Quantum Computation of the Ground and Excited State Energies Using Quantum Imaginary Time Evolution and Quantum Lanczos Methods

Bulletin of the American Physical Society, 2020

Stochastic quantization approach to ≤1 open-closed string field theories