TY  - JOUR
AU  - Ballini, Edoardo
AU  - Clemente, Giuseppe
AU  - D'Elia, Massimo
AU  - Maio, Lorenzo
AU  - Zambello, Kevin
TI  - Thermodynamics of non-Abelian D<sub>4</sub> lattice gauge theory via Quantum Metropolis Sampling
JO  - Proceedings of Science / International School for Advanced Studies
VL  - (LATTICE2023)
SN  - 1824-8039
CY  - Trieste
PB  - SISSA
M1  - PUBDB-2025-01961
T2  - 2752004
SP  - 224
PY  - 2024
AB  - The possibility to use fault-tolerant Quantum Computers in the 'Beyond the NISQ era' is a promising perspective: it could bring the implementation of Markov Chain Monte Carlo (MCMC) quantum algorithms on real machines. Then, it would be possible to exploit the quantum properties of such devices to study the thermodynamic properties of the system. This also allows us to avoid the infamous sign problem, which plagues classical Monte Carlo simulations of several interesting systems - such as QCD in the presence of an external electric field or a finite chemical potential. In this work, we discuss the effectiveness of Quantum Metropolis Sampling in the study of thermodynamic properties of a non-Abelian gauge theory, based on the discrete D<sub>4</sub> symmetry group. This is the first study of a non-Abelian Lattice Gauge Theory by means of a quantum MCMC algorithm: we simulate the behavior of an ideal quantum Computer, aiming to demonstrate the feasibility of such simulations.
T2  - 40th International Symposium on Lattice Field Theory
CY  - 30 Jul 2023 - 5 Aug 2023, Batavia (United States)
Y2  - 30 Jul 2023 - 5 Aug 2023
M2  - Batavia, United States
KW  - Monte Carlo: Markov chain (INSPIRE)
KW  - computer: quantum (INSPIRE)
KW  - potential: chemical (INSPIRE)
KW  - gauge field theory: nonabelian (INSPIRE)
KW  - numerical calculations: Monte Carlo (INSPIRE)
KW  - thermodynamical (INSPIRE)
KW  - lattice field theory (INSPIRE)
KW  - noisy intermediate-scale quantum (INSPIRE)
KW  - quantum chromodynamics (INSPIRE)
KW  - quantum algorithm (INSPIRE)
KW  - thermodynamics (INSPIRE)
LB  - PUB:(DE-HGF)8 ; PUB:(DE-HGF)16
DO  - DOI:10.22323/1.453.0224
UR  - https://bib-pubdb1.desy.de/record/631449
ER  -