Year: 2024
Type: article
Abstract: Lattice gauge theories are fundamental to various fields, including particle physics, condensed matter, and quantum information theory. Recent progress in the control of quantum systems allows for studying Abelian lattice gauge theories in table-top experiments. However, several challenges remain, such as implementing dynamical fermions in higher spatial dimensions and magnetic field terms. Here, we map U(1) Abelian lattice gauge theories in arbitrary spatial dimensions onto qudit systems with local interactions. We propose a variational quantum simulation scheme for the qudit system with a local Hamiltonian, that can be implemented on a universal qudit quantum device as the one developed in []. We describe how to implement the variational imaginary-time evolution protocol for ground-state preparation as well as the variational real-time evolution protocol to simulate nonequilibrium physics on universal qudit quantum computers, supplemented with numerical simulations. Our proposal can serve as a way of simulating lattice gauge theories, particularly in higher spatial dimensions, with minimal resources, regarding both system sizes and gate count. Published by the American Physical Society 2024
Source: Physical Review Research
Institutions: Institute of Photonic Sciences, Barcelona Institute of Science and Technology, Universität Innsbruck, Institució Catalana de Recerca i Estudis Avançats, University of Trento, Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications, Hebrew University of Jerusalem
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Funders: Centres de Recerca de Catalunya, Institut de Ciències Fotòniques, European Commission, Generalitat de Catalunya, Federación Española de Enfermedades Raras, Fondazione Bruno Kessler, Università degli Studi di Trento, Narodowym Centrum Nauki, Ministerio de Ciencia e Innovación, Barcelona Supercomputing Center, Provincia Autonoma di Trento, QuantERA, HORIZON EUROPE Framework Programme, Agència de Gestió d'Ajuts Universitaris i de Recerca, Horizon 2020, European Regional Development Fund, Agencia Estatal de Investigación, Nuclear Physics, HORIZON EUROPE Marie Sklodowska-Curie Actions, NextGenerationEU
Awards: G1049070721, G1188902550, G120905174, G1255325603, G1377087751, G148743912, NExt level Quantum information processing for Science and Technology, G1622782223, G162601807, G1681549477, Junior Leader la Caixa Postdoctoral Fellowship Programme: Shaping the new generation of leaders in research, G1888088267, G1908469581, G1953887145, Programmable Atomic Large-scale Quantum Simulation 2 - SGA1, G2064873908, G2105798022, G2236380367, G2262748287, G2347902168, G2575991346, G2601397997, G2654780445, G2744780120, G2763573136, G2871827553, G288263039, G2988934680, G3005324705, G300979063, G3261693824, G3278703066, G3427281961, G3480869486, G348919436, G357246561, G3639969887, G3674674691, G3681454997, G3798495387, G3886156397, G3939077204, G395624319, G3979371216, G4042783231, G408490004, G410571670, G4239348134, G425668148, G434337789, G4359800586, G4368799831, G4391008399, G451917667, G4630312626, G4680432388, G4727238542, G5065677113, G5080475149, G5284946700, G531036588, G5440125773, G5582576839, G575169067, G5852091828, QuantERA II ERA-NET Cofund in Quantum Technologies, G5955501538, G5967599077, G5971291011, G6041517, G6275411036, Structured electric-dipole-based chirality, G6482940084, G6552004136, G6656126374, G6727213032, G6731467812, G6743926034, G704744937, G7048927246, G7051150526, G7084143925, G7226647862, G7327758667, G7425137858, G7596336062, G7615865815, G7731791180, G8180681537, G8283979283, G8370579132, G853839195, Optical Topologic Logic, G8665153912, G8684520763, G8959349008, G949909837
OpenAlex ID: W4392166629