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Non-Adiabatic Holonomic Quantum Computation in Decoherence-Free Subspaces

2012/10/25 by G. F. Xu, J. Zhang, D. M. Tong +2 · 2 citations
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physrevlett.109.170501

published as Physical Review Letters 109, 170501, 2012 · 4 pages

arxiv created 2012/10/25 · arxiv updated 2015/06/11

Abstract

Quantum computation that combines the coherence stabilization virtues of decoherence-free subspaces and the fault tolerance of geometric holonomic control is of great practical importance. Some schemes of adiabatic holonomic quantum computation in decoherence-free subspaces have been proposed in the past few years. However, non-adiabatic holonomic quantum computation in decoherence-free subspaces, which avoids long run-time requirement but with all the robust advantages, remains an open problem. Here, we demonstrate how to realize non-adiabatic holonomic quantum computation in decoherence-free subspaces. By using only three neighboring physical qubits undergoing collective dephasing to encode one logical qubit, we realize a universal set of quantum gates.

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