activity
20102026
most citedLefschetz-thimble analysis of the sign problem in one-site fermion model

93 citations · 667 across the 57 of their papers we have counts for

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19 papers · 1 filter

hep-lat2026

Quantum anomaly for benchmarking quantum computing

Tomoya Hayata, Arata Yamamoto

Given the rapid advances in quantum computing hardware, establishing strategies for verifying the correctness of quantum computations has become increasingly important. Exploiting…

hep-lat2026

Onset of thermalization of q-deformed SU(2) Yang-Mills theory on a trapped-ion quantum computer

Tomoya Hayata, Yoshimasa Hidaka, Yuta Kikuchi

Nonequilibrium dynamics of quantum many-body systems is one of the main targets of quantum simulations. This focus - together with rapid advances in quantum-computing hardware - ha…

hep-lat2026

Phases of the -deformed Yang-Mills theory at large

Tomoya Hayata, Yoshimasa Hidaka, Hiromasa Watanabe

We investigate the -dimensional -deformed Yang-Mills theory in the lattice Hamiltonian formalism, which is characterized by three parameters: the numbe…

hep-lat2024

Floquet evolution of the q-deformed \texorpdfstring{SU(3)}{SU(3)1} Yang-Mills theory on a two-leg ladder

Tomoya Hayata, Yoshimasa Hidaka

We simulate Floquet time-evolution of a truncated SU(3) lattice Yang-Mills theory on a two-leg ladder geometry under open boundary conditions using IBM's superconducting 156-qubit…

hep-lat2024

Floquet prethermalization of lattice gauge theory on superconducting qubits

Tomoya Hayata, Kazuhiro Seki, Arata Yamamoto

Simulating nonequilibirum dynamics of a quantum many-body system is one of the promising applications of quantum computing. We simulate the time evolution of one-dimensional ${\bf…

hep-lat2023★ 1 cited

Dense with matrix product states

Tomoya Hayata, Yoshimasa Hidaka, Kentaro Nishimura

We study one-flavor and lattice QCD in () dimensions at zero temperature and finite density using matrix product states and the density matri…

hep-lat2023

Chiral fermion on quantum computers

Arata Yamamoto, Tomoya Hayata, Katsumasa Nakayama

Quantum computation often suffers from artificial symmetry breaking. We should strive to suppress the artifact both by theoretical and technological improvements. The theoretical f…

hep-lat2023★ 6 cited

Dynamical chirality production in one dimension

Tomoya Hayata, Katsumasa Nakayama, Arata Yamamoto

We discuss the quantum computation of dynamical chirality production in lattice gauge theory. Although the chirality of a lattice fermion is complicated in general dimensions, it c…

hep-lat2023★ 4 cited

deformed formulation of Hamiltonian SU(3) Yang-Mills theory

Tomoya Hayata, Yoshimasa Hidaka

We study Yang-Mills theory in dimensions based on networks of Wilson lines. With the help of the deformation, networks respect the (discretized) $\math…

hep-lat2023★ 6 cited

Chiral fermion in the Hamiltonian lattice gauge theory

Tomoya Hayata, Katsumasa Nakayama, Arata Yamamoto

We discuss the chiral fermion in the Hamiltonian formalism of lattice gauge theory. Although the naive chiral charge operator does not commute with the Hamiltonian, the commutable…

hep-lat2023★ 2 cited

String-net formulation of Hamiltonian lattice Yang-Mills theories and quantum many-body scars in a nonabelian gauge theory

Tomoya Hayata, Yoshimasa Hidaka

We study the Hamiltonian lattice Yang-Mills theory based on spin networks that provide a useful basis to represent the physical states satisfying the Gauss law constraints. We focu…

hep-lat2021

Lattice Lindblad simulation

Tomoya Hayata, Yoshimasa Hidaka, Arata Yamamoto

We perform the real-time lattice simulation of an open quantum system, which is based on the Schwinger-Keldysh path integral representation of the Lindblad formalism. Although the…

hep-lat2020★ 12 cited

Thermalization of Yang-Mills theory in a dimensional small lattice system

Tomoya Hayata, Yoshimasa Hidaka

We study the real-time evolution of SU() Yang-Mills theory in a dimensional small lattice system after interaction quench. We numerically solve the Schr{ö}dinger equatio…

hep-lat2019★ 4 cited

String confinement in 2-form lattice gauge theory

Tomoya Hayata, Arata Yamamoto

We study the confinement between vortex strings in the dual lattice gauge theory of the abelian Higgs model. The dual lattice gauge theory is described by a 2-form gauge field. We…

hep-lat2017

Lattice simulation with the Majorana positivity

Arata Yamamoto, Tomoya Hayata

While the sign problem of the Dirac fermion is conditioned by the semi-positivity of a determinant, that of the Majorana fermion is conditioned by the semi-positivity of a Pfaffian…

hep-lat2017★ 6 cited

Classification of sign-problem-free relativistic fermions on the basis of the Majorana positivity

Tomoya Hayata, Arata Yamamoto

We classify the sign-problem-free relativistic fermion actions on the basis of the Majorana representation. In the Majorana representation, the sign-problem-free condition is given…

hep-lat2016★ 1 cited

Lefschetz-thimble approach to the Silver Blaze problem of one-site fermion model

Yuya Tanizaki, Yoshimasa Hidaka, Tomoya Hayata

The sign problem of finite-density QCD at the zero temperature becomes very severe if the quark chemical potential exceeds half of the pion mass. In order to understand its propert…

hep-lat2015★ 43 cited

Complex saddle points and the sign problem in complex Langevin simulation

Tomoya Hayata, Yoshimasa Hidaka, Yuya Tanizaki

We show that complex Langevin simulation converges to a wrong result, by relating it to the Lefschetz-thimble path integral, when the path-integral weight has different phases amon…

hep-lat2015★ 2 cited

Complex Langevin simulation in condensed matter physics

Arata Yamamoto, Tomoya Hayata

The complex Langevin method is one hopeful candidate to tackle the sign problem. This method is applicable not only to QCD but also to nonrelativistic field theory, such as condens…