Imaginary-time evolution using forward and backward real-time evolution with a single ancilla: First-quantized eigensolver algorithm for quantum chemistry

T Kosugi, Y Nishiya, H Nishi, Y Matsushita - Physical Review Research, 2022 - APS
Imaginary-time evolution (ITE) on a quantum computer is a promising formalism for
obtaining the ground state of a quantum system. The probabilistic ITE (PITE) exploits …

Many-body thermodynamics on quantum computers via partition function zeros

A Francis, D Zhu, C Huerta Alderete, S Johri, X **ao… - Science …, 2021 - science.org
Partition functions are ubiquitous in physics: They are important in determining the
thermodynamic properties of many-body systems and in understanding their phase …

Exploring Lee-Yang and Fisher zeros in the 2D Ising model through multipoint Padé approximants

S Singh, M Cipressi, F Di Renzo - Physical Review D, 2024 - APS
We present a numerical calculation of the Lee-Yang and Fisher zeros of the 2D Ising model
using multipoint Padé approximants. We perform simulations for the 2D Ising model with …

Determination of universal critical exponents using Lee-Yang theory

A Deger, C Flindt - Physical Review Research, 2019 - APS
Lee-Yang zeros are points in the complex plane of an external control parameter at which
the partition function vanishes for a many-body system of finite size. In the thermodynamic …

Lee-Yang theory of the two-dimensional quantum Ising model

PM Vecsei, JL Lado, C Flindt - Physical Review B, 2022 - APS
Determining the phase diagram of interacting quantum many-body systems is an important
task for a wide range of problems such as the understanding and design of quantum …

Lee-Yang theory, high cumulants, and large-deviation statistics of the magnetization in the Ising model

A Deger, F Brange, C Flindt - Physical Review B, 2020 - APS
We investigate the Ising model in one, two, and three dimensions using a cumulant method
that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small …

Lee-Yang theory of the Curie-Weiss model and its rare fluctuations

A Deger, C Flindt - Physical Review Research, 2020 - APS
Phase transitions are typically accompanied by nonanalytic behaviors of the free energy,
which can be explained by considering the zeros of the partition function in the complex …

[HTML][HTML] Calculation of partition function of Ising model on quantum computer

HP Laba, VM Tkachuk - Physics Letters A, 2023 - Elsevier
We study the partition function of the Ising model on a graph with the help of quantum
computing. The Boltzmann factor is modeled on a quantum computer as a trace of some …

Moment-generating function zeros in the study of phase transitions

RGM Rodrigues, BV Costa, LAS Mól - Physical Review E, 2021 - APS
Partition function zeros play a central role in the study of phase transitions. Recently, energy
probability distribution (EPD) zeros were proposed as an alternative approach that solves …

Calculation of Gibbs partition function with imaginary time evolution on near-term quantum computers

K Matsumoto, Y Shingu, S Endo… - Japanese Journal of …, 2022 - iopscience.iop.org
The Gibbs partition function is an important quantity in describing statistical properties of a
system in thermodynamic equilibrium. There are several proposals to calculate the partition …