GEOMETRIC PHASE AND TOPOLOGY QUANTUM GATES USING PARALLEL TRANSPORTATION

DOI10.1142/S0219887808003041zbMath1151.81310OpenAlexW2129174814MaRDI QIDQ3542815

Lian Hu, Xin-Ding Zhang, Yu-Mei Gao

Publication date: 1 December 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887808003041

zbMATH Keywords

quantum computationgeometric phasetopological phaseparallel transportationfault-tolerant quantum gates

Mathematics Subject Classification ID

Quantum computation (81P68) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Holonomic quantum computation
• Symmetrizing evolutions
• Quantal phase factors accompanying adiabatic changes
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

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