Effective matrix model for nuclear physics on a quantum computer

AbstractQuantum computers have the potential to create important new opportunities for ongoing essential research on gauge theories. They can provide simulations that are unattainable on classical computers such as sign-problem afflicted models or time evolutions. In this work, we variationally prepare the low-lying eigenstates of a non-Abelian gauge theory with dynamically coupled matter on a quantum computer. This enables the observation of hadrons and the calculation of their associated masses. The SU(2) gauge group considered here represents an important first step towards ultimately studying quantum chromodynamics, the theory that describes the properties of protons, neutrons and other hadrons. Our calculations on an IBM superconducting platform utilize a variational quantum eigensolver to study both meson and baryon states, hadrons which have never been seen in a non-Abelian simulation on a quantum computer. We develop a hybrid resource-efficient approach by combining classical and quantum computing, that not only allows the study of an SU(2) gauge theory with dynamical matter fields on present-day quantum hardware, but further lays out the premises for future quantum simulations that will address currently unanswered questions in particle and nuclear physics.

Download Full-text

Effective matrix model for deconfinement in pure gauge theories

Physical Review D ◽

10.1103/physrevd.86.105017 ◽

2012 ◽

Vol 86 (10) ◽

Cited By ~ 45

Author(s):

Adrian Dumitru ◽

Yun Guo ◽

Yoshimasa Hidaka ◽

Chris P. Korthals Altes ◽

Robert D. Pisarski

Keyword(s):

Matrix Model ◽

Gauge Theories ◽

Pure Gauge ◽

Effective Matrix

Download Full-text

Nuclear Matrix Model: A path to nuclear physics from superstrings

10.1063/1.3647359 ◽

2011 ◽

Author(s):

Koji Hashimoto ◽

Atsushi Hosaka ◽

Kanchan Khemchandani ◽

Hideko Nagahiro ◽

Kanabu Nawa

Keyword(s):

Matrix Model ◽

Nuclear Matrix ◽

Nuclear Physics

Download Full-text

Toward simulating superstring/M-theory on a quantum computer

Journal of High Energy Physics ◽

10.1007/jhep07(2021)140 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Hrant Gharibyan ◽

Masanori Hanada ◽

Masazumi Honda ◽

Junyu Liu

Keyword(s):

Matrix Models ◽

Real Time ◽

Matrix Model ◽

Fock Space ◽

Quantum Computer ◽

Explicit Construction ◽

Time Dynamics ◽

State Preparation ◽

M Theory ◽

Adiabatic State

Abstract We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in an appropriate limit of parameters. Furthermore, for certain states in the Berenstein-Maldacena-Nastase (BMN) matrix model, several supersymmetric quantum field theories dual to superstring/M-theory can be realized on a quantum device. Our prescription consists of four steps: regularization of the Hilbert space, adiabatic state preparation, simulation of real-time dynamics, and measurements. Regularization is performed for the BMN matrix model with the introduction of energy cut-off via the truncation in the Fock space. We use the Wan-Kim algorithm for fast digital adiabatic state preparation to prepare the low-energy eigenstates of this model as well as thermofield double state. Then, we provide an explicit construction for simulating real-time dynamics utilizing techniques of block-encoding, qubitization, and quantum signal processing. Lastly, we present a set of measurements and experiments that can be carried out on a quantum computer to further our understanding of superstring/M-theory beyond analytic results.

Download Full-text

Unfolding quantum computer readout noise

npj Quantum Information ◽

10.1038/s41534-020-00309-7 ◽

2020 ◽

Vol 6 (1) ◽

Cited By ~ 2

Author(s):

Benjamin Nachman ◽

Miroslav Urbanek ◽

Wibe A. de Jong ◽

Christian W. Bauer

Keyword(s):

Nuclear Physics ◽

High Energy Physics ◽

Quantum Computer ◽

Quantum Algorithm ◽

High Energy ◽

Matrix Inversion ◽

Quantum Computers ◽

Statistical Fluctuations ◽

Inversion Techniques ◽

Energy Physics

Abstract In the current era of noisy intermediate-scale quantum computers, noisy qubits can result in biased results for early quantum algorithm applications. This is a significant challenge for interpreting results from quantum computer simulations for quantum chemistry, nuclear physics, high energy physics (HEP), and other emerging scientific applications. An important class of qubit errors are readout errors. The most basic method to correct readout errors is matrix inversion, using a response matrix built from simple operations to probe the rate of transitions from known initial quantum states to readout outcomes. One challenge with inverting matrices with large off-diagonal components is that the results are sensitive to statistical fluctuations. This challenge is familiar to HEP, where prior-independent regularized matrix inversion techniques (“unfolding”) have been developed for years to correct for acceptance and detector effects, when performing differential cross section measurements. We study one such method, known as iterative Bayesian unfolding, as a potential tool for correcting readout errors from universal gate-based quantum computers. This method is shown to avoid pathologies from commonly used matrix inversion and least squares methods.

Download Full-text

Light-Front Field Theory on Current Quantum Computers

Entropy ◽

10.3390/e23050597 ◽

2021 ◽

Vol 23 (5) ◽

pp. 597

Author(s):

Michael Kreshchuk ◽

Shaoyang Jia ◽

William Kirby ◽

Gary Goldstein ◽

James Vary ◽

...

Keyword(s):

Field Theory ◽

Quantum Field Theory ◽

Nuclear Physics ◽

Bound States ◽

Quantum Computer ◽

Relativistic Quantum ◽

Quantum Algorithm ◽

Light Front ◽

Quantum Field Theories ◽

Quantum Field

We present a quantum algorithm for simulation of the quantum field theory in light-front formulation and demonstrate how existing quantum devices can be used to study the structure of bound states in relativistic nuclear physics. Specifically, we apply the Variational Quantum Eigensolver algorithm to find the ground state of the light-front Hamiltonian obtained within the Basis Light-Front Quantization (BLFQ) framework. The BLFQ formulation of the quantum field theory allows one to readily import techniques developed for digital quantum simulation of quantum chemistry. This provides a method that can be scaled up to the simulation of full, relativistic quantum field theories in the quantum advantage regime. As an illustration, we calculate the mass, mass radius, decay constant, electromagnetic form factor, and charge radius of the pion on the IBM Vigo chip. This is the first time that the light-front approach to the quantum field theory has been used to enable simulation of a real physical system on a quantum computer.

Download Full-text

Nuclear Processes Related to the Ap Stars and the Heaviest Chemical Elements

International Astronomical Union Colloquium ◽

10.1017/s0252921100080520 ◽

1976 ◽

Vol 32 ◽

pp. 169-182

Author(s):

B. Kuchowicz

Keyword(s):

Nuclear Physics ◽

Nuclear Reactions ◽

Chemical Elements ◽

Fission Products ◽

Abundance Pattern ◽

Isotopic Shifts ◽

Processed Material ◽

R Process ◽

Ap Stars ◽

Nuclear Processes

SummaryIsotopic shifts in the lines of the heavy elements in Ap stars, and the characteristic abundance pattern of these elements point to the fact that we are observing mainly the products of rapid neutron capture. The peculiar A stars may be treated as the show windows for the products of a recent r-process in their neighbourhood. This process can be located either in Supernovae exploding in a binary system in which the present Ap stars were secondaries, or in Supernovae exploding in young clusters. Secondary processes, e.g. spontaneous fission or nuclear reactions with highly abundant fission products, may occur further with the r-processed material in the surface of the Ap stars. The role of these stars to the theory of nucleosynthesis and to nuclear physics is emphasized.

Download Full-text