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Gauge theories are fundamental to our understanding of interactions between the elementary constituents of matter as mediated by gauge bosons. However, computing the real-time dynamics in gauge theories is a notorious challenge for…

Quantum Physics · Physics 2016-06-28 E. A. Martinez , C. A. Muschik , P. Schindler , D. Nigg , A. Erhard , M. Heyl , P. Hauke , M. Dalmonte , T. Monz , P. Zoller , R. Blatt

In recent years simulations of chemistry and condensed materials has emerged as one of the preeminent applications of quantum computing, offering an exponential speedup for the solution of the electronic structure for certain strongly…

Quantum Physics · Physics 2022-01-19 Torin F. Stetina , Anthony Ciavarella , Xiaosong Li , Nathan Wiebe

Light-matter coupled Hamiltonians are central to cavity materials engineering and polaritonic chemistry, but are challenging to simulate with classical hardware due to the scaling of the Hilbert space with the number of quantum photon modes…

Quantum Physics · Physics 2025-10-21 Francesco Troisi , Simone Latini , Heiko Appel , Martin Lüders , Angel Rubio , Ivano Tavernelli

We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in…

High Energy Physics - Theory · Physics 2025-08-19 Georg Bergner , Masanori Hanada , Enrico Rinaldi , Andreas Schafer

Maintaining local interactions in the quantum simulation of gauge field theories relegates most states in the Hilbert space to be unphysical -- theoretically benign, but experimentally difficult to avoid. Reformulations of the gauge fields…

Quantum Physics · Physics 2021-05-12 Anthony Ciavarella , Natalie Klco , Martin J. Savage

Quantum chemistry and materials science are among the most promising areas for demonstrating algorithmic quantum advantage and quantum utility due to their inherent quantum mechanical nature. Still, large-scale simulations of quantum…

Quantum simulation aims to simulate a quantum system using a controble laboratory system that underline the same mathematical model. Cavity QED lattice system is that prescribe system to simulate the relativistic quantum effect. We quantum…

Mesoscale and Nanoscale Physics · Physics 2014-09-15 Sujit Sarkar

Quantum simulation of the dynamics of a lattice gauge theory demands imposing on-site constraints. Ideally, the dynamics remain confined within the physical Hilbert space, where all the states satisfy those constraints. For non-Abelian…

High Energy Physics - Lattice · Physics 2024-04-19 Emil Mathew , Indrakshi Raychowdhury

Quantum link models (QLMs) are extensions of Wilson-type lattice gauge theories, and show rich physics beyond the phenomena of conventional Wilson gauge theories. Here we explore the physics of $U(1)$ symmetric QLMs, both using a more…

High Energy Physics - Lattice · Physics 2022-09-21 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

We experimentally demonstrate strong coupling between the ferromagnetic magnons in a small yttrium-iron-garnet (YIG) sphere and the drive-field-induced dressed states of a superconducting qubit, which gives rise to the double dressing of…

Quantum Physics · Physics 2019-04-01 Yi-Pu Wang , Guo-Qiang Zhang , Da Xu , Tie-Fu Li , Shi-Yao Zhu , J. S. Tsai , J. Q. You

We present a scheme for simulating relativistic quantum physics in circuit quantum electrodynamics. By using three classical microwave drives, we show that a superconducting qubit strongly-coupled to a resonator field mode can be used to…

Quantum Physics · Physics 2013-05-20 J. S. Pedernales , R. Di Candia , D. Ballester , E. Solano

Cavity quantum electrodynamics allows one to study the interaction between light and matter at the most elementary level. The methods developed in this field have taught us how to probe and manipulate individual quantum systems like atoms…

Mesoscale and Nanoscale Physics · Physics 2016-10-10 J. J. Viennot , M. R. Delbecq , L. E. Bruhat , M. C. Dartiailh , M. Desjardins , M. Baillergeau , A. Cottet , T. Kontos

Quantum simulations of lattice gauge theories (LGTs) with both dynamical matter and gauge fields provide a promising approach to studying strongly coupled problems beyond classical computational reach. Yet, implementing gauge-invariant…

Quantum Physics · Physics 2025-07-29 S. Saner , O. Băzăvan , D. J. Webb , G. Araneda , C. J. Ballance , R. Srinivas , D. M. Lucas , A. Bermúdez

We introduce a method for quantum simulation of U$(1)$ lattice gauge theories coupled to matter, utilizing alkaline-earth(-like) atoms in state-dependent optical lattices. The proposal enables the study of both gauge and fermionic-matter…

We propose an analog-digital quantum simulation of fermion-fermion scattering mediated by a continuum of bosonic modes within a circuit quantum electrodynamics scenario. This quantum technology naturally provides strong coupling of…

Quantum Physics · Physics 2015-02-23 L. García-Álvarez , J. Casanova , A. Mezzacapo , I. L. Egusquiza , L. Lamata , G. Romero , E. Solano

We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using…

High Energy Physics - Lattice · Physics 2015-02-11 Haiyuan Zou , Yuzhi Liu , Chen-Yen Lai , J. Unmuth-Yockey , Li-Ping Yang , A. Bazavov , Z. Y. Xie , T. Xiang , S. Chandrasekharan , S. -W. Tsai , Y. Meurice

The Schwinger model (quantum electrodynamics in 1+1 dimensions) is a testbed for the study of quantum gauge field theories. We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and…

Quantum Physics · Physics 2020-08-12 Alexander F. Shaw , Pavel Lougovski , Jesse R. Stryker , Nathan Wiebe

The mapping of fermionic states onto qubit states, as well as the mapping of fermionic Hamiltonian into quantum gates enables us to simulate electronic systems with a quantum computer. Benefiting the understanding of many-body systems in…

Quantum Physics · Physics 2018-10-12 Mark Steudtner , Stephanie Wehner

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…

Quantum Gases · Physics 2025-07-22 Jesse Osborne , Ian P. McCulloch , Bing Yang , Philipp Hauke , Jad C. Halimeh

We describe a superconducting-circuit lattice design for the implementation and simulation of dynamical lattice gauge theories. We illustrate our proposal by analyzing a one-dimensional U(1) quantum-link model, where superconducting qubits…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 D. Marcos , P. Rabl , E. Rico , P. Zoller