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Mathematical foundation of quantum annealing

- Satoshi Morita, H. Nishimori
- Mathematics, Physics
- 11 June 2008

Quantum annealing is a generic name of quantum algorithms that use quantum-mechanical fluctuations to search for the solution of an optimization problem. It shares the basic idea with quantum… Expand

Quantum Spin Liquid in Spin 1/2 J1–J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections

- Satoshi Morita, R. Kaneko, M. Imada
- Physics
- 28 October 2014

The nature of quantum spin liquids is studied for the spin-1/2 antiferromagnetic Heisenberg model on a square lattice containing exchange interactions between nearest-neighbor sites, J1, and those… Expand

Convergence theorems for quantum annealing

- Satoshi Morita, H. Nishimori
- Physics
- 21 August 2006

We prove several theorems to give sufficient conditions for convergence of quantum annealing, which is a protocol to solve generic optimization problems by quantum dynamics. In particular, the… Expand

Distributed dynamic weaving is a crosscutting concern

- Michihiro Horie, Satoshi Morita, S. Chiba
- Computer Science
- SAC
- 21 March 2011

TLDR

Tensor renormalization group with randomized singular value decomposition.

- Satoshi Morita, R. Igarashi, H. Zhao, N. Kawashima
- Mathematics, Medicine
- Physical review. E
- 5 December 2017

An algorithm of the tensor renormalization group is proposed based on a randomized algorithm for singular value decomposition. Our algorithm is applicable to a broad range of two-dimensional… Expand

Detecting signals of weakly first-order phase transitions in two-dimensional Potts models

- Shumpei Iino, Satoshi Morita, A. Sandvik, N. Kawashima
- Physics, Mathematics
- 9 January 2018

We investigate the first-order phase transitions of the $q$-state Potts models with $q = 5, 6, 7$, and $8$ on the two-dimensional square lattice, using Monte Carlo simulations. At the very weakly… Expand

Calculation of higher-order moments by higher-order tensor renormalization group

- Satoshi Morita, N. Kawashima
- Physics, Computer Science
- Comput. Phys. Commun.
- 27 June 2018

TLDR

Gapless spin-liquid phase in an extended spin 1/2 triangular Heisenberg model

- R. Kaneko, Satoshi Morita, M. Imada
- Physics
- 1 July 2014

We numerically study Heisenberg models on modified triangular lattices, and show that a weak next-nearest-neighbor exchange interaction added to a simple triangular lattice, namely, the equilateral… Expand

mVMC - Open-source software for many-variable variational Monte Carlo method

- T. Misawa, Satoshi Morita, +6 authors Takeo Kato
- Computer Science, Physics
- Comput. Phys. Commun.
- 30 November 2017

TLDR

Variational Monte Carlo method in the presence of spin-orbit interaction and its application to Kitaev and Kitaev-Heisenberg models

- M. Kurita, Youhei Yamaji, Satoshi Morita, M. Imada
- Physics
- 19 November 2014

We propose an accurate variational Monte Carlo method applicable in the presence of the strong spin-orbit interactions. The algorithm is applicable even in a wider class of Hamiltonians that do not… Expand

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