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19952026
most citedQuantum Annealing in the Transverse Ising Model

2.4k citations · 5.9k across the 118 of their papers we have counts for

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Showing 2019 · quant-phShow all

5 papers · 2 filters

quant-ph2019★ 12 cited

Mean-Field Solution of the Weak-Strong Cluster Problem for Quantum Annealing with Stoquastic and Non-Stoquastic Catalysts

Kabuki Takada, Yu Yamashiro, Hidetoshi Nishimori

We study the weak-strong cluster problem for quantum annealing in its mean-field version as proposed by Albash [Phys. Rev. A 99 (2019) 042334] who showed by numerical diagonalizati…

quant-ph2019★ 61 cited

Reverse quantum annealing of the -spin model with relaxation

Gianluca Passarelli, Ka-Wa Yip, Daniel A. Lidar +2

In reverse quantum annealing, the initial state is an eigenstate of the final problem Hamiltonian and the transverse field is cycled rather than strictly decreased as in standard (…

quant-ph2019★ 10 cited

Performance enhancement of quantum annealing under the Lechner-Hauke-Zoller scheme by non-linear driving of the constraint term

Yuki Susa, Hidetoshi Nishimori

We analyze the performance of quantum annealing as formulated by Lechner, Hauke, and Zoller (LHZ), by which a Hamiltonian with all-to-all two-body interactions is reduced to a corr…

quant-ph2019★ 79 cited

Dynamics of reverse annealing for the fully-connected -spin model

Yu Yamashiro, Masaki Ohkuwa, Hidetoshi Nishimori +1

Reverse annealing is a relatively new variant of quantum annealing, in which one starts from a classical state and increases and then decreases the amplitude of the transverse fiel…

quant-ph2019★ 510 cited

Perspectives of quantum annealing: Methods and implementations

Philipp Hauke, Helmut G. Katzgraber, Wolfgang Lechner +2

Quantum annealing is a computing paradigm that has the ambitious goal of efficiently solving large-scale combinatorial optimization problems of practical importance. However, many…