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Relation between quantum fluctuations and the performance enhancement of quantum annealing in a nonstoquastic Hamiltonian
Yuki Susa, Johann F. Jadebeck, Hidetoshi Nishimori
We study the relation between quantum fluctuations and the significant enhancement of the performance of quantum annealing in a mean-field Hamiltonian. First-order quantum phase tr…
Quantum annealing correction at finite temperature: ferromagnetic -spin models
Shunji Matsuura, Hidetoshi Nishimori, Walter Vinci +2
The performance of open-system quantum annealing is adversely affected by thermal excitations out of the ground state. While the presence of energy gaps between the ground and exci…
Exponential Enhancement of the Efficiency of Quantum Annealing by Non-Stochastic Hamiltonians
Hidetoshi Nishimori, Kabuki Takada
Non-stoquastic Hamiltonians have both positive and negative signs in off-diagonal elements in their matrix representation in the standard computational basis and thus cannot be sim…
Critical properties of dissipative quantum spin systems in finite dimensions
Kabuki Takada, Hidetoshi Nishimori
We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coup…