Confinement in a ${{\mathbb{Z}}}_{2}$ lattice gauge theory on a quantum computerConfinement in a $${{\mathbb{Z}}}_{2}$$ lattice gauge theory on a quantum computer

Julius Mildenberger, Wojciech Mruczkiewicz, Jad C. Halimeh +2 more

arXiv:2203.08905Nature PhysicsJan 13, 202556 citations

Confinement in a ℤ2 lattice gauge theory on a quantum computer

Julius Mildenberger, W. Mruczkiewicz, Jad C. Halimeh +2 more

Jan 1, 20250 citations

Z2 Lattice Gauge Theory on Non-trivial Topology and Its Quantum Simulation

Jiaqi Hu, Shu Tian, Xiaopeng Cui +3 more

Wegner duality is essential for Z2 lattice gauge theory, yet the duality on non-trivial topologies has remained implicit. We extend Wegner duality to arbitrary topology and dimension, obtaining a new class of Ising models, in which topology is encoded in non-local domain-wall patterns. Without the overhead of gauge constraints, simulating this model on an L*L torus requires only L*L qubits with two-body couplings, halving the conventional four-body coupled 2L*L qubits, enabling full experimental realization of Z2 lattice gauge theory on near-term devices.Wegner duality is essential for Z2 lattice gauge theory, yet the duality on non-trivial topologies has remained implicit. We extend Wegner duality to arbitrary topology and dimension, obtaining a new class of Ising models, in which topology is encoded in non-local domain-wall patterns. Without the overhead of gauge constraints, simulating this model on an L*L torus requires only L*L qubits with two-body couplings, halving the conventional four-body coupled 2L*L qubits, enabling full experimental realization of Z2 lattice gauge theory on near-term devices.

hep-latCross-listedarXiv:2601.16776Jan 26, 20260 citations

Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge TheoryPhoton-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$ Lattice Gauge Theory

Tsafrir Armon, Shachar Ashkenazi, Gerardo García-Moreno +2 more

Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in many theoretical proposals, as well as several experimental implementations. 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. In this Letter, we propose a method to obtain them based on a combination of stroboscopic optical atomic control and the non-local photon-mediated interactions appearing in nanophotonic or cavity QED setups. We illustrate the method for a $\mathbb{Z}_{2}$ lattice Gauge theory. We also show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.Quantum simulation of lattice gauge theories (LGTs), aiming at tackling non-perturbative particle and condensed matter physics, has recently received a lot of interest and attention, resulting in many theoretical proposals, as well as several experimental implementations. 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. In this Letter, we propose a method to obtain them based on a combination of stroboscopic optical atomic control and the non-local photon-mediated interactions appearing in nanophotonic or cavity QED setups. We illustrate the method for a $\mathbb{Z}_{2}$ lattice Gauge theory. We also show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.

arXiv:2107.13024Jul 27, 20211 citation

Quantum Simulation of Non Abelian Lattice Gauge Theories

M. Bögli

International Symposium on Lattice Field Theory (LATTICE)Apr 28, 20140 citations

Quantum Simulation of a

\mathbb {Z}_2

-Lattice Gauge Theory

Confinement in a

{{\mathbb{Z}}}_{2}

lattice gauge theory on a quantum computer

Photon-mediated Stroboscopic Quantum Simulation of a

\mathbb{Z}_{2}

Lattice Gauge Theory

\mathbb{Z}_{2}

lattice Gauge theory. We also show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.