Simulating lattice gauge theories within quantum technologies

By M. Bañuls, Rainer Blatt, J. Catani, Alessio Celi, J. I. Cirac, Marcello Dalmonte, L. Fallani, K. Jansen, Maciej Lewenstein, Simone Montangero and 10 more. European Physical Journal D : Atomic, Molecular and Optical Physics, 2019

631 citations recorded by the source corpus.

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information technologies. While one long-term goal is the reliable quantum simulation of currently intractable aspects of QCD itself, lattice gauge theories also play an important role in condensed matter physics and in quantum information science. In this way, lattice gauge theories provide both motivation and a framework for interdisciplinary research towards the development of special purpose digital and analog quantum simulators, and ultimately of scalable universal quantum computers. In this manuscript, recent results and new tools from a quantum science approach to study lattice gauge theories are reviewed. Two new complementary approaches are discussed: first, tensor network methods are presented – a classical simulation approach – applied to the study of lattice gauge theories together with some results on Abelian and non-Abelian lattice gauge theories. Then, recent proposals for the implementation of lattice gauge theory quantum simulators in different quantum hardware are reported, e.g., trapped ions, Rydberg atoms, and superconducting circuits. Finally, the first proof-of-principle trapped ions experimental quantum simulations of the Schwinger model are reviewed.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/40df0a21f057eb9031072aded4e061f9ef88651a

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Citations in the corpus

Engineered dissipation for quantum information science (2022, background): “Variants of this basic motif have been explored in contexts ranging from implementing magnetic models 193 to simulating gauge theories 194–196 .”
Practical quantum advantage in quantum simulation (2022, background): “A wide range of controllability suggests possibilities to apply analogue quantum simulators to open problems in high-energy physics 85 , and the scrambling of information in black holes, including models connected with the holographic principle 86,87 .”
Prediction of Toric Code Topological Order from Rydberg Blockade (2020, background): “[61] Mari Carmen Bañuls, Rainer Blatt, Jacopo Catani, Alessio Celi, Juan Ignacio Cirac, Marcello Dalmonte, Leonardo Fallani, Karl Jansen, Maciej Lewenstein, Simone Montangero, and et al.”
Quantum simulation of fundamental particles and forces (2023, background): “[28], and for additional discussions and reviews of advances since then, see e.g., Refs.”