Realization of universal nonadiabatic geometric control on decoherence-free qubits in the XY model

Abstract

A fundamental requirement of quantum information processing is the protection from the adverse effects of decoherence and noise. Decoherence-free subspaces and geometric processing are important steps of quantum information protection. Here, we provide a new experimentally feasible scheme to combine decoherence-free subspaces with nonadiabatic geometric manipulations to attain a universal quantum computation. The proposed scheme is different from previous proposals and is based on the typical XY interaction coupling, which can be set up in various nano-engineered systems and therefore open up for realization of nonadiabatic holonomic quantum computation in decoherence-free subspaces.

21 pages, 5 figures

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Cited by in corpus (8)

• Experimental Realization of Nonadiabatic Shortcut to Non-Abelian Geometric Gates
• Single-shot realization of nonadiabatic holonomic gates with a superconducting Xmon qutrit
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Implementation of geometric quantum gates on microwave-driven semiconductor charge qubits
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Entangling power of holonomic gates in atom-cavity systems
• Decoherence mitigation for geometric quantum computation
• Geometric and holonomic quantum computation