72 citations · 232 across the 21 of their papers we have counts for
21 papers
Lattice Lindbladian simulation by patching and merging
Kaoru Mizuta
Simulating the dynamics of dissipative quantum many-body systems governed by local Lindbladians is a fundamental task in quantum computation. While the near-optimal gate count has…
Quantum signal processing in Hilbert space fragmented systems
Naoya Egawa, Kaoru Mizuta, Joji Nasu
Quantum signal processing (QSP), originally developed for composite pulse sequences in nuclear magnetic resonance systems, has recently attracted attention as a unified framework f…
On the commutator scaling in Hamiltonian simulation with multi-product formulas
Kaoru Mizuta
A multi-product formula (MPF) is a promising approach for Hamiltonian simulation efficiently both in the system size and the inverse allowable error by combinin…
Trotterization is substantially efficient for low-energy states
Kaoru Mizuta, Tomotaka Kuwahara
Trotterization is one of the central approaches for simulating quantum many-body dynamics on quantum computers or tensor networks. In addition to its simple implementation, recent…
Controlling discrete time crystals via single-site operations in zero-field diamond quantum simulators
Naoya Egawa, Kaoru Mizuta, Joji Nasu
Discrete time crystals (DTCs) have emerged as novel nonequilibrium phases of matter that spontaneously break discrete time-translation symmetry in periodically driven systems. Rigo…
Explicit error bounds with commutator scaling for time-dependent product and multi-product formulas
Kaoru Mizuta, Tatsuhiko N. Ikeda, Keisuke Fujii
Product formula (PF), which approximates the time evolution under a many-body Hamiltonian by the product of local time evolution operators, is one of the central approaches for sim…
Nearly optimal quasienergy estimation and eigenstate preparation of time-periodic Hamiltonians by Sambe space formalism
Kaoru Mizuta
Time-periodic (Floquet) systems are one of the most interesting nonequilibrium systems. As the computation of energy eigenvalues and eigenstates of time-independent Hamiltonians is…
Comment on "Multivariable quantum signal processing (M-QSP): prophecies of the two-headed oracle"
Hitomi Mori, Kaoru Mizuta, Keisuke Fujii
Multivariable Quantum Signal Processing (M-QSP) [1] is expected to provide an efficient means to handle polynomial transformations of multiple variables simultaneously. However, we…
A comprehensive survey on quantum computer usage: How many qubits are employed for what purposes?
Tsubasa Ichikawa, Hideaki Hakoshima, Koji Inui +18
Quantum computers (QCs), which work based on the law of quantum mechanics, are expected to be faster than classical computers in several computational tasks such as prime factoring…
Recursive Quantum Eigenvalue/Singular-Value Transformation: Analytic Construction of Matrix Sign Function by Newton Iteration
Kaoru Mizuta, Keisuke Fujii
Quantum eigenvalue transformation (QET) and its generalization, quantum singular value transformation (QSVT), are versatile quantum algorithms that allow us to apply broad matrix f…
Optimal/Nearly-optimal simulation of multi-periodic time-dependent Hamiltonians
Kaoru Mizuta
Simulating Hamiltonian dynamics is one of the most fundamental and significant tasks for characterising quantum materials. Recently, a series of quantum algorithms employing block-…
Optimal Hamiltonian simulation for time-periodic systems
Kaoru Mizuta, Keisuke Fujii
The implementation of time-evolution operators , called Hamiltonian simulation, is one of the most promising usage of quantum computers. For time-independent Hamiltonians, qu…
Local variational quantum compilation of a large-scale Hamiltonian dynamics
Kaoru Mizuta, Yuya O. Nakagawa, Kosuke Mitarai +1
Implementing time evolution operators on quantum circuits is important for quantum simulation. However, the standard way, Trotterization, requires a huge numbers of gates to achiev…
Fate of Topological Edge States in Disordered Periodically-driven Nonlinear Systems
Ken Mochizuki, Kaoru Mizuta, Norio Kawakami
We explore topological edge states in periodically driven nonlinear systems. Based on a self-consistency method adjusted to periodically driven systems, we obtain stationary states…
Deep variational quantum eigensolver for excited states and its application to quantum chemistry calculation of periodic materials
Kaoru Mizuta, Mikiya Fujii, Shigeki Fujii +4
A programmable quantum device that has a large number of qubits without fault-tolerance has emerged recently. Variational Quantum Eigensolver (VQE) is one of the most promising way…
Breakdown of Markovianity by interactions in stroboscopic Floquet-Lindblad dynamics under high-frequency drive
Kaoru Mizuta, Kazuaki Takasan, Norio Kawakami
Floquet-Magnus (FM) expansion theory is a powerful tool in periodically driven (Floquet) systems under high-frequency drives. In closed systems, it dictates that their stroboscopic…
Deep Variational Quantum Eigensolver: a divide-and-conquer method for solving a larger problem with smaller size quantum computers
Keisuke Fujii, Kaoru Mizuta, Hiroshi Ueda +3
We propose a divide-and-conquer method for the quantum-classical hybrid algorithm to solve larger problems with small-scale quantum computers. Specifically, we concatenate a variat…
Exact Floquet quantum many-body scars under Rydberg blockade
Kaoru Mizuta, Kazuaki Takasan, Norio Kawakami
Quantum many-body scars have attracted much interest as a violation of the eigenstate thermalization hypothesis (ETH) due to recent experimental observation in Rydberg atoms and re…
Floquet engineering of topological phases protected by emergent symmetries under resonant drives
Kaoru Mizuta, Kazuaki Takasan, Norio Kawakami
Floquet engineering is one of the most vigorous fields in periodically driven (Floquet) systems, with which we can control phases of matter usually by high-frequency drives. In thi…
High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
Kaoru Mizuta, Kazuaki Takasan, Norio Kawakami
Prethermalization, where quasi-steady states are realized in the intermediate long time regime (prethermal regime), in periodically driven (Floquet) systems is an important phenome…
Spatial-Translation-Induced Discrete Time Crystals
Kaoru Mizuta, Kazuaki Takasan, Masaya Nakagawa +1
A discrete time crystal is a phase unique to nonequilibrium systems, where discrete time translation symmetry is spontaneously broken. Most of conventional time crystals proposed s…