Quantum circuit for $\mathbb{Z}_3$ lattice gauge theory at nonzero baryon density
- URL: http://arxiv.org/abs/2409.17349v2
- Date: Wed, 29 Jan 2025 01:34:08 GMT
- Title: Quantum circuit for $\mathbb{Z}_3$ lattice gauge theory at nonzero baryon density
- Authors: Yoshimasa Hidaka, Arata Yamamoto,
- Abstract summary: lattice gauge theory is the simplest discrete gauge theory with three-quark bound states.
Since it has a finite-dimensional Hilbert space, it can be used for testing quantum simulation of lattice gauge theory at nonzero baryon density.
- Score: 0.0
- License:
- Abstract: $\mathbb{Z}_3$ lattice gauge theory is the simplest discrete gauge theory with three-quark bound states, i.e., baryons. Since it has a finite-dimensional Hilbert space, it can be used for testing quantum simulation of lattice gauge theory at nonzero baryon density. We discuss global and local gauge symmetries and their importance in quantum simulation. We perform quantum emulator calculation and demonstrate how to study the ground state property of baryonic matter.
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) - Quantum Gate Sets for Lattice QCD in the strong coupling limit: $N_f=1$ [0.6165163123577484]
We derive the primitive quantum gate sets to simulate lattice quantum chromodynamics (LQCD) in the strong-coupling limit with one flavor of massless staggered quarks.
This theory is of interest for studies at non-zero density as the sign problem can be overcome using Monte Carlo methods.
arXiv Detail & Related papers (2023-08-06T19:27:14Z) - General quantum algorithms for Hamiltonian simulation with applications
to a non-Abelian lattice gauge theory [44.99833362998488]
We introduce quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated changes in multiple quantum numbers.
The lattice gauge theory studied is the SU(2) gauge theory in 1+1 dimensions coupled to one flavor of staggered fermions.
The algorithms are shown to be applicable to higher-dimensional theories as well as to other Abelian and non-Abelian gauge theories.
arXiv Detail & Related papers (2022-12-28T18:56:25Z) - Measurement-based quantum simulation of Abelian lattice gauge theories [0.0]
We show that sequential single-qubit measurements with the bases adapted according to the former measurement outcomes induce a deterministic Hamiltonian quantum simulation of the gauge theory on the boundary.
We demonstrate that the generalized cluster state has a symmetry-protected topological order with respect to generalized global symmetries.
arXiv Detail & Related papers (2022-10-19T22:14:45Z) - Entanglement Witnessing for Lattice Gauge Theories [0.0]
Entanglement is assuming a central role in modern quantum many-body physics.
We develop the theoretical framework of entanglement witnessing for lattice gauge theories.
We illustrate the concept at the example of a $mathrmU(1)$ lattice gauge theory in 2+1 dimensions.
arXiv Detail & Related papers (2022-07-01T18:01:21Z) - Bosonic field digitization for quantum computers [62.997667081978825]
We address the representation of lattice bosonic fields in a discretized field amplitude basis.
We develop methods to predict error scaling and present efficient qubit implementation strategies.
arXiv Detail & Related papers (2021-08-24T15:30:04Z) - 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) - Quantum variational approach to lattice gauge theory at nonzero density [0.0]
Digital quantum simulation is designed for lattice gauge theory at nonzero density.
The quantum variational algorithm is adopted to obtain the ground state at nonzero density.
arXiv Detail & Related papers (2021-04-21T17:49:32Z) - Quantum simulation of gauge theory via orbifold lattice [47.28069960496992]
We propose a new framework for simulating $textU(k)$ Yang-Mills theory on a universal quantum computer.
We discuss the application of our constructions to computing static properties and real-time dynamics of Yang-Mills theories.
arXiv Detail & Related papers (2020-11-12T18:49:11Z) - Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow.
First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric.
We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
arXiv Detail & Related papers (2020-10-29T06:15:30Z)
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.