Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits

• URL: http://arxiv.org/abs/2402.07987v3
• Date: Mon, 21 Oct 2024 23:00:35 GMT
• Title: Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits
• Authors: Giuseppe Calajò, Giuseppe Magnifico, Claire Edmunds, Martin Ringbauer, Simone Montangero, Pietro Silvi,
• Abstract summary: We present a quantum simulation strategy for a (1+1)D SU(2) non-abelian lattice gauge theory with dynamical matter. We numerically show that this model, albeit simple, can manifest physically-relevant properties specific to non-abelian field theories.
• Score: 0.0
• License:
• Abstract: We present a quantum simulation strategy for a (1+1)D SU(2) non-abelian lattice gauge theory with dynamical matter, a hardcore-gluon Hamiltonian Yang-Mills, tailored to a six-level trapped-ion qudit quantum processor, as recently experimentally realized. We employ a qudit encoding fulfilling gauge invariance, an SU(2) Gauss law. We discuss the experimental feasibility of generalized M\"olmer-S\"orensen gates used to efficiently simulate the dynamics. We illustrate how a shallow circuit with these resources is sufficient to implement scalable digital quantum simulation of the model. We also numerically show that this model, albeit simple, can dynamically manifest physically-relevant properties specific to non-abelian field theories, such as baryon excitations.

Related papers

• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• 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)
• Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory [58.720142291102135]
  Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics. One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear. We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
  arXiv  Detail & Related papers  (2021-07-27T18:10:08Z)
• 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)
• Engineering analog quantum chemistry Hamiltonians using cold atoms in optical lattices [69.50862982117127]
  We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups. We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
  arXiv  Detail & Related papers  (2020-11-28T11:23:06Z)
• Cold Atom Quantum Simulator for String and Hadron Dynamics in Non-Abelian Lattice Gauge Theory [0.0]
  Scheme calls for the realization of a two-state ultracold fermionic system in a 1-dimensional bipartite lattice. Being based on novel loop string hadron formalism of SU(2) lattice gauge theory, this simulation technique is completely SU(2) invariant.
  arXiv  Detail & Related papers  (2020-09-29T12:39:14Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Toward scalable simulations of Lattice Gauge Theories on quantum computers [0.0]
  We provide a resource for simulations of real-time dynamics in lattice gauge theories on arbitrary dimensions. We study the phenomena of flux-string breaking up to a genuine bi-dimensional model using classical quantum circuits.
  arXiv  Detail & Related papers  (2020-05-20T18:00:30Z)
• Kink dynamics and quantum simulation of supersymmetric lattice Hamiltonians [0.0]
  We propose a quantum simulation of a supersymmetric lattice model using atoms trapped in a 1D configuration and interacting through a Rydberg dressed potential. We provide an analytical description of the kink/skink dynamics and propose a protocol to prepare and detect these excitations in the quantum simulator.
  arXiv  Detail & Related papers  (2020-05-01T21:01:35Z)
• Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
  We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
  arXiv  Detail & Related papers  (2020-02-21T16:00:36Z)

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.