Phase transitions and gaps in quantum random energy models

DOI10.1016/J.PHYSA.2018.09.193OpenAlexW2895090126WikidataQ129155477 ScholiaQ129155477MaRDI QIDQ2155394

Carlo Presilla, Massimo Ostilli

Publication date: 15 July 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4409

zbMATH Keywords

quantum phase transitionsrandom energy modelsquantum annealingquantum adiabatic theorem

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Optimization by Simulated Annealing
• Quantum stochastic optimization
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Exponential vanishing of the ground-state gap of the quantum random energy model via adiabatic quantum computing
• Probabilistic solution of Pauli type equations
• Berezin integrals and Poisson processes
• The exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit
• Optimization using quantum mechanics: quantum annealing through adiabatic evolution
• Univariate Discrete Distributions

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