Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge

• URL: http://arxiv.org/abs/2207.01731v3
• Date: Mon, 10 Apr 2023 22:54:27 GMT
• Title: Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Authors: Roland C. Farrell, Ivan A. Chernyshev, Sarah J. M. Powell, Nikita A. Zemlevskiy, Marc Illa and Martin J. Savage
• Abstract summary: Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed. IBM's 7-qubit quantum computers, ibmq_jakarta and ibm_perth, are used to compute dynamics. $SU(N_c)$ gauge theory with $N_f$ flavors of quarks are developed.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Tools necessary for quantum simulations of $1+1$ dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per spatial site with the gauge fields included via non-local interactions. Classical computations and D-Wave's quantum annealer Advantage are used to determine the hadronic spectrum, enabling a decomposition of the masses and a study of quark entanglement. Color edge states confined within a screening length of the end of the lattice are found. IBM's 7-qubit quantum computers, ibmq_jakarta and ibm_perth, are used to compute dynamics from the trivial vacuum in one-flavor QCD with one spatial site. More generally, the Hamiltonian and quantum circuits for time evolution of $1+1$ dimensional $SU(N_c)$ gauge theory with $N_f$ flavors of quarks are developed, and the resource requirements for large-scale quantum simulations are estimated.

Related papers

• Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
  Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions. We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
  arXiv  Detail & Related papers  (2024-07-03T18:00:52Z)
• Measuring the Loschmidt amplitude for finite-energy properties of the Fermi-Hubbard model on an ion-trap quantum computer [27.84599956781646]
  We study the operation of a quantum-classical time-series algorithm on a present-day quantum computer. Specifically, we measure the Loschmidt amplitude for the Fermi-Hubbard model on a $16$-site ladder geometry (32 orbitals) on the Quantinuum H2-1 trapped-ion device. We numerically analyze the influence of noise on the full operation of the quantum-classical algorithm by measuring expectation values of local observables at finite energies.
  arXiv  Detail & Related papers  (2023-09-19T11:59:36Z)
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator [3.1192594881563127]
  A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability. Here, we propose an experimentally feasible realization of a large-scale $2+1$D $mathrmU(1)$ gauge theory with dynamical matter and gauge fields in a cold-atom quantum simulator with spinless bosons.
  arXiv  Detail & Related papers  (2022-11-02T18:00:00Z)
• Studying chirality imbalance with quantum algorithms [62.997667081978825]
  We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter. By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
  arXiv  Detail & Related papers  (2022-10-06T17:12:33Z)
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time [0.0]
  A framework for quantum simulations of real-time weak decays of hadrons and nuclei is presented. A single generation of the Standard Model is found to require 16 qubits per spatial lattice site. Quantum circuits which implement time evolution in this lattice theory are developed and run on Quantinuum's H1-1 20-qubit trapped ion system.
  arXiv  Detail & Related papers  (2022-09-22T04:58:54Z)
• Quantum algorithms for grid-based variational time evolution [36.136619420474766]
  We propose a variational quantum algorithm for performing quantum dynamics in first quantization. Our simulations exhibit the previously observed numerical instabilities of variational time propagation approaches.
  arXiv  Detail & Related papers  (2022-03-04T19:00:45Z)
• Localized Quantum Chemistry on Quantum Computers [0.6649973446180738]
  Quantum chemistry calculations are typically limited by the computation cost that scales exponentially with the size of the system. We present a quantum algorithm that combines a localization of multireference wave functions of chemical systems with quantum phase estimation.
  arXiv  Detail & Related papers  (2022-03-03T20:52:22Z)
• Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer [0.033842793760651545]
  We show a complete instruction-by-instruction to simulate lattice gauge theories on a quantum computer. We show that lattice gauge theories in any spatial dimension can be simulated using $tildeO(T3/2N3/2Lambda/epsilon1/2)$ T gates.
  arXiv  Detail & Related papers  (2021-07-27T12:27:39Z)
• Computing molecular excited states on a D-Wave quantum annealer [52.5289706853773]
  We demonstrate the use of a D-Wave quantum annealer for the calculation of excited electronic states of molecular systems. These simulations play an important role in a number of areas, such as photovoltaics, semiconductor technology and nanoscience.
  arXiv  Detail & Related papers  (2021-07-01T01:02:17Z)
• Embedding classical dynamics in a quantum computer [0.0]
  We develop a framework for simulating measure-preserving, ergodic dynamical systems on a quantum computer. Our approach provides a new operator-theoretic representation of classical dynamics. We present simulated quantum circuit experiments in Qiskit Aer, as well as actual experiments on the IBM Quantum System One.
  arXiv  Detail & Related papers  (2020-12-11T03:25:48Z)
• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
  We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model. We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors. This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
  arXiv  Detail & Related papers  (2020-01-31T02:55:35Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.