# Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination

@inproceedings{Greenberg2022ResourceEfficientQS, title={Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination}, author={Tomer Greenberg and Guy Pardo and Aryeh L. Fortinsky and Erez Zohar}, year={2022} }

In the last few years, quantum simulation of Lattice Gauge Theories has been proposed and used as a method to overcome theoretical di ﬃ culties in dealing with the non-perturbative nature of such models. In this letter we focus on two important bottlenecks of such quantum simulations: the need to combine fermionic degrees of freedom in the simulator to simulate the matter, and the redundancy of the Hilbert space, which leads to a waste of experimental resources and the need to impose and…

## 2 Citations

Quantum Simulation of Z2 Lattice Gauge theory with minimal requirements

- Physics, Computer Science
- 2022

A new way to simulate fermionic Z2 gauge field theory on a quantum computer, with minimal qubit requirements, is developed, which provides a quantum circuit, simulating a single first order Trotter step, that minimizes the number of 2-qubit gates needed and gives comparable results to methods requiring more qubits.

Confinement Induced Frustration in a One-Dimensional $\mathbb{Z}_2$ Lattice Gauge Theory

- Physics
- 2022

Coupling dynamical charges to gauge ﬁelds can result in highly non-local interactions with a linear conﬁning potential. As a consequence, individual particles bind into mesons which, in one…

## References

SHOWING 1-10 OF 56 REFERENCES

Hamiltonian Formulation of Wilson's Lattice Gauge Theories

- Physics
- 1975

Wilson's lattice gauge model is presented as a canonical Hamiltonian theory. The structure of the model is reduced to the interactions of an infinite collection of coupled rigid rotators. The…

Eliminating fermionic matter fields in lattice gauge theories

- PhysicsPhysical Review B
- 2018

We devise a unitary transformation that replaces the fermionic degrees of freedom of lattice gauge theories by (hard-core) bosonic ones. The resulting theory is local and gauge invariant, with the…

Quantum simulation of Z2 lattice gauge theories with dynamical matter from two-body interactions in (2 + 1)D

- Physics
- 2022

Lukas Homeier, 2, 3 Annabelle Bohrdt, 3 Simon Linsel, 2 Eugene Demler, Jad C. Halimeh, 2 and Fabian Grusdt 2, ∗ Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC),…

Stabilizing Gauge Theories in Quantum Simulators: A Brief Review

- Physics
- 2022

Quantum simulation is at the heart of the ongoing “second” quantum revolution, with various synthetic quantum matter platforms realizing evermore exotic condensed matter and particle physics…

Emergent Z 2 gauge theories and topological excitations in Rydberg atom arrays

- Physics
- 2022

Strongly interacting arrays of Rydberg atoms provide versatile platforms for exploring exotic many-body phases and dynamics of correlated quantum systems. Motivated by recent experimental advances,…

Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms

- Physics
- 2022

Non-abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the…

Photon-Mediated Stroboscopic Quantum Simulation of a
Z2
Lattice Gauge Theory

- PhysicsPhysical Review Letters
- 2021

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…

Standard model physics and the digital quantum revolution: thoughts about the interface

- PhysicsReports on progress in physics. Physical Society
- 2022

Advances in isolating, controlling and entangling quantum systems are transforming what was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and technological…