Efficiency of open quantum walk implementation of dissipative quantum computing algorithms

DOI10.1007/S11128-012-0426-3zbMath1258.81023arXiv1401.6658OpenAlexW2045586686WikidataQ62390340 ScholiaQ62390340MaRDI QIDQ1757877

Francesco Petruccione, Yutaka Ilya Sinayskiy

Publication date: 7 November 2012

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6658

zbMATH Keywords

quantum Fourier transformdissipative quantum computingopen quantum walk

Mathematics Subject Classification ID

Quantum computation (81P68) Numerical methods for discrete and fast Fourier transforms (65T50) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum algorithms and complexity in the theory of computing (68Q12)

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Cites Work

• Unnamed Item
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• Open quantum random walks
• Non-equilibrium thermal entanglement for a three spin chain
• Microscopic Derivation of Open Quantum Walk on Two-Node Graph
• Renormalization and tensor product states in spin chains and lattices
• Decoherence in quantum walks – a review

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