Masanori Hanada
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View article: Variational Monte Carlo with neural network quantum states for a Yang-Mills matrix model
Variational Monte Carlo with neural network quantum states for a Yang-Mills matrix model Open
We apply the variational Monte Carlo method based on neural network quantum states, using a neural autoregressive flow architecture as our ansatz, to determine the ground state wave function of the bosonic SU(N) Yang-Mills-type two-matrix …
View article: Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice
Exponential speedup in quantum simulation of Kogut-Susskind Hamiltonian via orbifold lattice Open
We demonstrate that the orbifold lattice Hamiltonian -- an approach known for its efficiency in simulating SU($N$) Yang-Mills theory and QCD on digital quantum computers -- can reproduce the Kogut-Susskind Hamiltonian in a controlled limit…
View article: Two-local modifications of SYK model with quantum chaos
Two-local modifications of SYK model with quantum chaos Open
The Sachdev--Ye--Kitaev (SYK) model may provide us with a good starting point for the experimental study of quantum chaos and holography in the laboratory. Still, the four-local interaction of fermions makes quantum simulation challenging,…
View article: Exponential improvement in quantum simulations of bosons
Exponential improvement in quantum simulations of bosons Open
Hamiltonian quantum simulation of bosons on digital quantum computers requires truncating the Hilbert space to finite dimensions. The method of truncation and the choice of basis states can significantly impact the complexity of the quantu…
View article: Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom
Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom Open
A bstract For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of…
View article: A universal framework for the quantum simulation of Yang-Mills theory
A universal framework for the quantum simulation of Yang-Mills theory Open
We provide a universal framework for the quantum simulation of SU(N) Yang--Mills theories on fault-tolerant digital quantum computers adopting the orbifold lattice formulation. As warm-up examples, we also consider simple models, including…
View article: Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom
Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom Open
For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk …
View article: Toward QCD on quantum computer: orbifold lattice approach
Toward QCD on quantum computer: orbifold lattice approach Open
A bstract We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamilt…
View article: Partial deconfinement in QCD at $N=3$ and $N=\infty$
Partial deconfinement in QCD at $N=3$ and $N=\infty$ Open
We describe how the general mechanism of partial deconfinement applies to large-N QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the parti…
View article: Wilson Loops and Random Matrices
Wilson Loops and Random Matrices Open
Linear confinement with Casimir scaling of the string tension in confining gauge theories is a consequence of a certain property of the Polyakov loop related to random matrices. This mechanism does not depend on the details of the theories…
View article: A New Perspective on Thermal Transition in QCD
A New Perspective on Thermal Transition in QCD Open
Motivated by the picture of partial deconfinement developed in recent years for large-N gauge theories, we propose a new way of analyzing and understanding thermal phase tsuppransition in QCD. We find nontrivial support for our proposal by…
View article: Color confinement and random matrices. A random walk down group manifold toward Casimir scaling
Color confinement and random matrices. A random walk down group manifold toward Casimir scaling Open
A bstract We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the low-temperature regime of confining gauge theories such as QCD, Polyakov lines are slowly vary…
View article: On Thermal Transition in QCD
On Thermal Transition in QCD Open
We describe how the general mechanism of partial deconfinement applies to large-N QCD and a partially deconfined phase inevitably appears between completely confined and completely deconfined phases. Furthermore, we propose how partial dec…
View article: Toward QCD on Quantum Computer: Orbifold Lattice Approach
Toward QCD on Quantum Computer: Orbifold Lattice Approach Open
We propose an orbifold lattice formulation of QCD suitable for quantum simulations. We show explicitly how to encode gauge degrees of freedom into qubits using noncompact variables, and how to write down a simple truncated Hamiltonian in t…
View article: Partial deconfinement in QCD at $N=3$ and $N=\infty$
Partial deconfinement in QCD at $N=3$ and $N=\infty$ Open
We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the par…
View article: Color Confinement and Random Matrices -- A random walk down group manifold toward Casimir scaling --
Color Confinement and Random Matrices -- A random walk down group manifold toward Casimir scaling -- Open
We explain the microscopic origin of linear confinement potential with the Casimir scaling in generic confining gauge theories. In the low-temperature regime of confining gauge theories such as QCD, Polyakov lines are slowly varying Haar r…
View article: Estimating truncation effects of quantum bosonic systems using sampling algorithms
Estimating truncation effects of quantum bosonic systems using sampling algorithms Open
To simulate bosons on a qubit- or qudit-based quantum computer, one has to regularize the theory by truncating infinite-dimensional local Hilbert spaces to finite dimensions. In the search for practical quantum applications, it is importan…
View article: On thermal transition in QCD
On thermal transition in QCD Open
We describe how the general mechanism of partial deconfinement applies to large-$N$ QCD and the partially-deconfined phase inevitably appears between completely-confined and completely-deconfined phases. Furthermore, we propose how the par…
View article: A new perspective on thermal transition in QCD
A new perspective on thermal transition in QCD Open
Motivated by the picture of partial deconfinement developed in recent years for large-$N$ gauge theories, we propose a new way of analyzing and understanding thermal phase transition in QCD. We find nontrivial support for our proposal by a…
View article: A model of randomly-coupled Pauli spins
A model of randomly-coupled Pauli spins Open
We construct a model of Pauli spin operators with all-to-all 4-local interactions by replacing Majorana fermions in the SYK model with spin operators. Equivalently, we replace fermions with hard-core bosons. We study this model numerically…
View article: Entanglement and confinement in coupled quantum systems
Entanglement and confinement in coupled quantum systems Open
We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such co…
View article: Partial deconfinement at strong coupling on the lattice
Partial deconfinement at strong coupling on the lattice Open
We provide evidence for partial deconfinement — the deconfinement of a SU(M) subgroup of the SU(N) gauge group — by using lattice Monte Carlo simulations. We take matrix models as concrete examples. By appropriately fixing the gauge, we ob…
View article: Real time quantum gravity dynamics from classical statistical Yang-Mills simulations
Real time quantum gravity dynamics from classical statistical Yang-Mills simulations Open
We perform microcanonical classical statistical lattice simulations of SU(N) Yang-Mills theory with eight scalars on a circle. Measuring the eigenvalue distribution of the spatial Wilson loop we find two distinct phases depending on the to…
View article: Quantum Lyapunov spectrum
Quantum Lyapunov spectrum Open
We introduce a simple quantum generalization of the spectrum of classical Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov growth and entropy production. Our numerical results suggest that a black hole is n…
View article: Quantum Simulation for High-Energy Physics
Quantum Simulation for High-Energy Physics Open
It is for the first time that quantum simulation for high-energy physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. Thi…
View article: Dataset for "Estimating truncation effects of quantum bosonic systems using sampling algorithms"
Dataset for "Estimating truncation effects of quantum bosonic systems using sampling algorithms" Open
Markov Chain Monte Carlo simulation data for the preprint. T010ad***S10000M*_1.txt: simulation history for a_{dig} = 0.3, 0.5, 0.7, m^2 = 1, -1, B_max = 5000, used for Table 1 and Figure 1. T010R100L401S10000M1_1.txt: simulation history fo…
View article: Dataset for "Estimating truncation effects of quantum bosonic systems using sampling algorithms"
Dataset for "Estimating truncation effects of quantum bosonic systems using sampling algorithms" Open
Markov Chain Monte Carlo simulation data for the preprint. T010ad***S10000M*_1.txt: simulation history for a_{dig} = 0.3, 0.5, 0.7, m^2 = 1, -1, B_max = 5000, used for Table 1 and Figure 1. T010R100L401S10000M1_1.txt: simulation history fo…
View article: Linear confinement in the partially-deconfined phase
Linear confinement in the partially-deconfined phase Open
A bstract We consider the partially-deconfined saddle of large- N pure Yang-Mills theory lying between confined and deconfined phases, in which the color degrees of freedom split into confined and deconfined sectors. Based on the microscop…