Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases

Abstract

Nonadiabatic geometric quantum computation in decoherence-free subspaces has received increasing attention due to the merits of its high-speed implementation and robustness against both control errors and decoherence. However, all the previous schemes in this direction have been based on the conventional geometric phases, of which the dynamical phases need to be removed. In this paper, we put forward a scheme of nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases, of which the dynamical phases do not need to be removed. Specifically, by using three physical qubits undergoing collective dephasing to encode one logical qubit, we realize a universal set of geometric gates nonadiabatically and unconventionally. Our scheme not only maintains all the merits of nonadiabatic geometric quantum computation in decoherence-free subspaces, but also avoids the additional operations required in the conventional schemes to cancel the dynamical phases.

5 pages, no figure

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Cited by in corpus (5)

• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Heralded atomic nonadiabatic holonomic quantum computation with Rydberg blockade
• Approach to realizing nonadiabatic geometric gates with prescribed evolution paths
• Robust paths to realize nonadiabatic holonomic gates
• Nonadiabatic geometric quantum gates that are insensitive to qubit-frequency drifts