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Imaginary-time evolution using forward and backward real-time evolution with a single ancilla: First-quantized eigensolver algorithm for quantum chemistry
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 …
obtaining the ground state of a quantum system. The probabilistic ITE (PITE) exploits …
Many-body thermodynamics on quantum computers via partition function zeros
Partition functions are ubiquitous in physics: They are important in determining the
thermodynamic properties of many-body systems and in understanding their phase …
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 …
using multipoint Padé approximants. We perform simulations for the 2D Ising model with …
Determination of universal critical exponents using Lee-Yang theory
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 …
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
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 …
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
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 …
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
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 …
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 …
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
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 …
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 …
system in thermodynamic equilibrium. There are several proposals to calculate the partition …