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Mean Field Analysis of Quantum Annealing Correction
Shunji Matsuura, Hidetoshi Nishimori, Tameem Albash +1
Quantum annealing correction (QAC) is a method that combines encoding with energy penalties and decoding to suppress and correct errors that degrade the performance of quantum anne…
Anomalous behavior of the energy gap in the one-dimensional quantum XY model
Manaka Okuyama, Yuuki Yamanaka, Hidetoshi Nishimori +1
We re-examine the well-studied one dimensional spin-1/2 model to reveal its nontrivial energy spectrum, in particular the energy gap between the ground state and the first exc…
Adiabatic approximation for the imaginary-time Schroedinger equation and its application to simulated annealing
Kazuya Kaneko, Hidetoshi Nishimori
We formulate an adiabatic approximation for the imaginary-time Schroedinger equation. The obtained adiabatic condition consists of two inequalities, one of which coincides with the…
Anomalous behavior of the energy gap in the one-dimensional quantum XY model
Yuuki Yamanaka, Hidetoshi Nishimori
We show for the one-dimensional quantum model with that the energy gap between the ground and first excited states behaves anomalously as a function of the system size…