Entangling problem Hamiltonian for adiabatic quantum computation

DOI10.1134/S1995080222100262OpenAlexW3009085780MaRDI QIDQ2095868

Oleg V. Lychkovskiy

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.09453

zbMATH Keywords

many-body localizationadiabatic quantum computationproblem Hamiltonian

Mathematics Subject Classification ID

Theory of computing (68Qxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) Computer science (68-XX)

Cites Work

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• The computer as a physical system: a microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
• Quantum stochastic optimization
• Anderson localization makes adiabatic quantum optimization fail
• A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
• Bounds for the adiabatic approximation with applications to quantum computation
• Adiabatic Quantum Computation Is Equivalent to Standard Quantum Computation
• Complexity of Stoquastic Frustration-Free Hamiltonians
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Elimination of perturbative crossings in adiabatic quantum optimization

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