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Efficient variational quantum circuit structure for correlated topological phases
Rong-Yang Sun, Tomonori Shirakawa, Seiji Yunoki
We propose an efficient circuit structure of variational quantum circuit \textit{Ansätze} used for the variational quantum eigensolver (VQE) algorithm in calculating gapped topolog…
Parametrized quantum circuit for weight-adjustable quantum loop gas
Rong-Yang Sun, Tomonori Shirakawa, Seiji Yunoki
Motivated by the recent success of realizing the topologically ordered ground state of the exactly solvable toric code model by a quantum circuit on the real quantum device [K. J.…
Energy-filtered random-phase states as microcanonical thermal pure quantum states
Kazuhiro Seki, Seiji Yunoki
We propose a method to calculate finite-temperature properties of a quantum many-body system for a microcanonical ensemble by introducing a pure quantum state named here an energy-…
Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
Kazuhiro Seki, Yuichi Otsuka, Seiji Yunoki
We propose a quantum-classical hybrid scheme for implementing the nonunitary Gutzwiller factor using a discrete Hubbard-Stratonovich transformation, which allows us to express the…
Automatic quantum circuit encoding of a given arbitrary quantum state
Tomonori Shirakawa, Hiroshi Ueda, Seiji Yunoki
We propose a quantum-classical hybrid algorithm to encode a given arbitrarily quantum state onto an optimal quantum circuit with a finite numbe…
Spatial, spin, and charge symmetry projections for a Fermi-Hubbard model on a quantum computer
Kazuhiro Seki, Seiji Yunoki
We propose an extended version of the symmetry-adapted variational-quantum-eigensolver (VQE) and apply it to a two-component Fermi-Hubbard model on a bipartite lattice. In the exte…
Emergent long-range interaction and state-selective localization in a strongly driven model
Kentaro Sugimoto, Seiji Yunoki
The nonlinear effect of a driving force in periodically driven quantum many-body systems can be systematically investigated by analyzing the effective Floquet Hamiltonian. In parti…
Phase transitions in the frustrated Ising ladder with stoquastic and nonstoquastic catalysts
Kabuki Takada, Shigetoshi Sota, Seiji Yunoki +3
The role of nonstoquasticity in the field of quantum annealing and adiabatic quantum computing is an actively debated topic. We study a strongly-frustrated quasi-one-dimensional qu…
Discretized quantum adiabatic process for free fermions and comparison with the imaginary-time evolution
Tomonori Shirakawa, Kazuhiro Seki, Seiji Yunoki
Motivated by recent progress of quantum technologies, we study a discretized quantum adiabatic process for a one-dimensional free fermion system described by a variational wave fun…
Quantum Power Method by a Superposition of Time-Evolved States
Kazuhiro Seki, Seiji Yunoki
We propose a quantum-classical hybrid algorithm of the power method, here dubbed as quantum power method, to evaluate with quantum computers, where i…
Emergence of a thermal equilibrium in a subsystem of a pure ground state by quantum entanglement
Kazuhiro Seki, Seiji Yunoki
By numerically exact calculations of spin-1/2 antiferromagnetic Heisenberg models on small clusters, we demonstrate that quantum entanglement between subsystems and in a pu…
Symmetry-adapted variational quantum eigensolver
Kazuhiro Seki, Tomonori Shirakawa, Seiji Yunoki
We propose a scheme to restore spatial symmetry of Hamiltonian in the variational-quantum-eigensolver (VQE) algorithm for which the quantum circuit structures used usually break th…