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Quantum annealing is a generic solver of the optimization problem that uses fictitious quantum fluctuation.
Relationship between d-dimensional quantal spin systems and (d+1)-dimensional ising systems: Equivalence, critical exponents and systematic approximants of the partition function and spin correlations
Suzuki, M · 1976
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Optimization by simulated annealing
Kirkpatrick, S., Gelatt, C. D. & Vecchi, M. P · 1983
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Sherrington-kirkpatrick model in a transverse field: Absence of replica symmetry breaking due to quantum fluctuations
Ray, P., Chakrabarti, B. K. & Chakrabarti, A · 1989
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Quantum stochastic optimization
Apolloni, B., Carvalho, C. & de Falco, D · 1989
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Quantum annealing: A new method for minimizing multidimensional functions
Finnila, A., Gomez, M., Sebenik, C., Stenson, C. & Doll, J · 1994
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Exchange monte carlo method and application to spin glass simulations
Hukushima, K. & Nemoto, K · 1996
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Quantum annealing in the transverse ising model
Kadowaki, T. & Nishimori, H · 1998
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Vanishing of the negative-sign problem of quantum monte carlo simulations in one-dimensional frustrated spin systems
Nakamura, T · 1998
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A quantum adiabatic evolution algorithm applied to random instances of an np-complete problem
Farhi, E. et al · 2001
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Residual energies after slow quantum annealing
Suzuki, S. & Okada, M · 2005
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From quantum mechanics to classical statistical physics: Generalized rokhsar-kivelson hamiltonians and the stochastic matrix form decomposition
Castelnovo, C., Chamon, C., Mudry, C. & Pujol, P · 2005
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Computational complexity and fundamental limitations to fermionic quantum monte carlo simulations
Troyer, M. & Wiese, U.-J · 2005
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Optimization using quantum mechanics: quantum annealing through adiabatic evolution
Santoro, G. E. & Tosatti, E · 2006
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Quantum approach to classical statistical mechanics
Somma, R. D., Batista, C. D. & Ortiz, G · 2007
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Colloquium
Das, A. & Chakrabarti, B. K · 2008
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Reaching the ground state of a quantum spin glass using a zero-temperature quantum monte carlo method
Das, A. & Chakrabarti, B. K · 2008
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Mathematical foundation of quantum annealing
Morita, S. & Nishimori, H · 2008
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The complexity of stoquastic local hamiltonian problems
Bravyi, S., Divincenzo, D. P., Oliveira, R. & Terhal, B. M · 2008
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A scalable control system for a superconducting adiabatic quantum optimization processor
Johnson, M. W. et al · 2010
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Quantum speedup by quantum annealing
Somma, R. D., Nagaj, D. & Kieferová, M · 2012
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Quantum annealing with antiferromagnetic fluctuations
Seki, Y. & Nishimori, H · 2012
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Violation of detailed balance accelerates relaxation
Ichiki, A. & Ohzeki, M · 2013
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Architectural considerations in the design of a superconducting quantum annealing processor
Bunyk, P. I. et al · 2014
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Symmetry-protected topological order and negative-sign problem for SO ( n ) \mathrm{SO(}n) bilinear-biquadratic chains
Okunishi, K. & Harada, K · 2014
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Searching for quantum speedup in quasistatic quantum annealers
Amin, M. H · 2015
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A scalable readout system for a superconducting adiabatic quantum optimization system
Berkley, A. J. et al · 2010
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Experimental investigation of an eight-qubit unit cell in a superconducting optimization processor
Harris, R. et al · 2010
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Quantum annealing with the jarzynski equality
Ohzeki, M · 2010
Cited alongside, same era.
Quantum annealing: An introduction and new developments
Ohzeki, M. & Nishimori, H · 2011
Cited alongside, same era.
Nonequilibrium work on spin glasses in longitudinal and transverse fields
Ohzeki, M., Nishimori, H. & Katsuda, H · 2011
Cited alongside, same era.
Nonequilibrium work performed in quantum annealing
Ohzeki, M. & Nishimori, H · 2011
Cited alongside, same era.
Quantum annealing with antiferromagnetic transverse interactions for the hopfield model
Seki, Y. & Nishimori, H · 2015
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Comparative study of the performance of quantum annealing and simulated annealing
Nishimori, H., Tsuda, J. & Knysh, S · 2015
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Full-order fluctuation-dissipation relation for a class of nonequilibrium steady states
Ichiki, A. & Ohzeki, M · 2015
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Langevin dynamics neglecting detailed balance condition
Ohzeki, M. & Ichiki, A · 2015
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Ohzeki, M. & Ichiki, A · 2015
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Non-Stoquastic Hamiltonians and Quantum Annealing of Ising Spin Glass
Hormozi, L., Brown, E. W., Carleo, G. & Troyer, M · 2016
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