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In this work, we obtain the numerical temperature field to a thermally developing fluid flow inside parallel plates problem with a quantum computing method. The physical problem deals with the heat transfer of a steady state,…

For quantum fermion problems, many accurate solvers are limited by the temperature regime in which they can be usefully applied. The Mermin theorem implies the uniqueness of an effective potential from which both the exact density and free…

Chemical Physics · Physics 2018-09-12 Justin Clifford Smith , Kieron Burke

Recent advancements in quantum computing technology have enabled the study of fermionic systems at finite temperature via quantum simulations. This presents a novel approach to investigating the chiral phase transition in such systems.…

Quantum Physics · Physics 2025-10-30 Jia-Qi Gong , Ji-Chong Yang

Numerical simulations of strongly correlated fermions at finite temperature are essential for studying high-temperature superconductivity and other quantum many-body phenomena. The recently developed tangent-space tensor renormalization…

Strongly Correlated Electrons · Physics 2026-03-03 Qiaoyi Li , Dai-Wei Qu , Bin-Bin Chen , Tao Shi , Wei Li

We investigate a quantum gauge theory at finite temperature and density using a variational algorithm for near-term quantum devices. We adapt $\beta$-VQE to evaluate thermal and quantum expectation values and study the phase diagram for…

High Energy Physics - Lattice · Physics 2022-05-19 Akio Tomiya

In this paper, we explore (2+1)D quantum electrodynamics (QED) at finite density on a quantum computer, including two fermion flavors. Our method employs an efficient gauge-invariant ansatz together with a quantum circuit structure that…

High Energy Physics - Lattice · Physics 2025-09-26 Emil Otis Rosanowski , Arianna Crippa , Lena Funcke , Paulo Vitor Itaborai , Karl Jansen , Simran Singh

We show in detail how the Jordan-Wigner transformation can be used to simulate any fermionic many-body Hamiltonian on a quantum computer. We develop an algorithm based on appropriate qubit gates that takes a general fermionic Hamiltonian,…

Quantum Physics · Physics 2007-05-23 E. Ovrum , M. Hjorth-Jensen

The recent solution to the fermion sign problem allows, for the first time, the use of cluster algorithm techniques to compute certain fermionic path integrals. To illustrate the underlying ideas behind the progress, a cluster algorithm is…

High Energy Physics - Lattice · Physics 2007-05-23 Shailesh Chandrasekharan

We introduce a new class of generative quantum-neural-network-based models called Quantum Hamiltonian-Based Models (QHBMs). In doing so, we establish a paradigmatic approach for quantum-probabilistic hybrid variational learning, where we…

Quantum Physics · Physics 2019-10-07 Guillaume Verdon , Jacob Marks , Sasha Nanda , Stefan Leichenauer , Jack Hidary

We have developed an efficient simulation algorithm for strongly interacting relativistic fermions in two-dimensional field theories based on a formulation as a loop gas. The loop models describing the dynamics of the fermions can be mapped…

High Energy Physics - Lattice · Physics 2009-11-05 Urs Wenger

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further understanding of essential features in such systems. Quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2019-03-28 Zi-Xiang Li , Hong Yao

Recently a new formulation of quantum mechanics has been suggested which describes systems by means of ensembles of classical particles provided with a sign. This novel approach mainly consists of two steps: the computation of the Wigner…

Computational Engineering, Finance, and Science · Computer Science 2018-02-14 Jean Michel Sellier

An optimal local quantum thermometer is a quantum many-body system that saturates the fundamental lower bound for the thermal state temperature estimation accuracy [L. Correa, et. al., Phys. Rev. Lett. 114, 220405 (2015)]. Such a…

We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of…

High Energy Physics - Theory · Physics 2017-04-26 Dionysios Anninos , Guillermo A. Silva

By generalizing the recently developed path integral molecular dynamics for identical bosons and fermions, we consider the finite-temperature thermodynamic properties of fictitious identical particles with a real parameter $\xi$…

Statistical Mechanics · Physics 2022-09-21 Yunuo Xiong , Hongwei Xiong

The properties of strongly-coupled lattice gauge theories at finite density as well as in real time have largely eluded first-principles studies on the lattice. This is due to the failure of importance sampling for systems with a complex…

High Energy Physics - Lattice · Physics 2025-08-20 Michael Fromm , Owe Philipsen , Michael Spannowsky , Christopher Winterowd

Despite using a novel model of computation, quantum computers break down programs into elementary gates. Among such gates, entangling gates are the most expensive. In the context of fermionic simulations, we develop a suite of compilation…

Quantum Physics · Physics 2023-03-08 Qingfeng Wang , Ze-Pei Cian , Ming Li , Igor L. Markov , Yunseong Nam

Using the method of continuous renormalization group around the Fermi surface, we prove that a two-dimensional jellium interacting system of Fermions at low temperature T is a Fermi liquid (analytic in the coupling constant g) for g <…

Superconductivity · Physics 2009-10-31 M. Disertori , V. Rivasseau

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano