Cavity QED implementation of non-adiabatic holonomies for universal quantum gates in decoherence-free subspaces with nitrogen-vacancy centers

Abstract

A cavity QED implementation of the non-adiabatic holonomic quantum computation in decoherence-free subspaces is proposed with nitrogen-vacancy centers coupled commonly to the whispering-gallery mode of a microsphere cavity, where a universal set of quantum gates can be realized on the qubits. In our implementation, with the assistant of the appropriate driving fields, the quantum evolution is insensitive to the cavity field state, which is only virtually excited. The implemented non-adiabatic holonomies, utilizing optical transitions in the Λ type of three-level configuration of the nitrogen-vacancy centers, can be used to construct a universal set of quantum gates on the encoded logical qubits. Therefore, our scheme opens up the possibility of realizing universal holonomic quantum computation with cavity assisted interaction on solid-state spins characterized by long coherence times.

9 pages, 4 figures

References in corpus (7)

• Cavity QED with Diamond Nanocrystals and Silica Microspheres
• Stark shift control of single optical centers in diamond
• Coherent Population Trapping of Single Spins in Diamond Under Optical Excitation
• Excited-state spectroscopy of single NV defects in diamond using optically detected magnetic resonance
• Holonomic quantum computation in decoherence-free subspaces
• A Magnetic Resonance Realization of Decoherence-Free Quantum Computation
• Physical implementation of holonomic quantum computation in decoherence-free subspaces with trapped ions

Cited by in corpus (9)

• Rydberg-atom-based scheme of nonadiabatic geometric quantum computation
• Single-loop multiple-pulse nonadiabatic holonomic quantum gates
• Single-shot realization of nonadiabatic holonomic quantum gates in decoherence-free subspaces
• Composite nonadiabatic holonomic quantum computation
• Nonadiabatic geometric quantum computation in decoherence-free subspaces based on unconventional geometric phases
• Dynamical-decoupling-protected nonadiabatic holonomic quantum computation
• Robust paths to realize nonadiabatic holonomic gates
• Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate
• Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity