Nonadiabatic Geometric Quantum Computation Using A Single-loop Scenario

Abstract

A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multi-loop approach is used to remove the dynamical phase accumulated in the operation process for geometric quantum gates. More intriguingly, we here illustrate in detail how to use a special single-loop method to remove the dynamical phase and thus to construct a set of universal quantum gates based on the nonadiabatic geometric phase shift. The present scheme is applicable to NMR systems and may be feasible in other physical systems.

arXiv comment4 pages, 3 figures

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• Approach to realizing nonadiabatic geometric gates with prescribed evolution paths
• Path-optimized nonadiabatic geometric quantum computation on superconducting qubits
• Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases
• Geometric phase for SU(N) through fiber bundles and unitary integration
• Implementation of quantum gates based on geometric phases accumulated in the eigenstates of periodic invariant operators
• State-independent Nonadiabatic Geometric Quantum Gates
• Berry Phase in a Two-atom Jaynes-Cummings Model with Kerr Medium
• Nonadiabatic geometric quantum gates with on-demand trajectories
• Robust nonadiabatic geometric quantum computation by dynamical correction
• Effective Hamiltonians in quantum physics: resonances and geometric phase
• Decoherence mitigation for geometric quantum computation
• Geometric and holonomic quantum computation