Distributed geometric quantum computation based on the optimized-control-technique in a cavity-atom system via exchanging virtual photons

Abstract

We propose a scheme for quantum geometric computation on a fiber-cavity-fiber system, in which two atoms are located in two single-mode cavities, respectively, connected with each other by optical fiber. This scheme not only has the feature of virtual excitation of photons in the cavity quantum electrodynamics (CQED) that can reduce the effect of decay effectively but also has the advantage of geometric phase to withstand noises due to its built-in noise-resilience feature and robust merit. Specifically, our proposal combined with optimized-control-technology (OCT) can reduce gate operation error by adjusting the time-dependent amplitude and phase of the resonant field which further enhances the robustness of the quantum operation. The robustness against decoherence is demonstrated numerically and the scheme may be applied in the remote quantum information processing tasks and quantum computation.

Multiple‐Qubit CkUm Logic Gates of Rydberg Atoms via Optimized Geometric Quantum Operations

“…The most common implementation of quantum logic gates based on Rydberg atoms was constructed by the dynamic evolution process. [ 9,50–55 ] With development of quantum information theory, however, geometric quantum computation (GQC) has gradually become a promising method for constructing fault‐tolerant quantum gates, [ 56–66 ] which, in combination with the Rydberg blockade, might be a promising way for building fast and fault‐tolerant quantum gating. Utilizing the peculiar property of geometric phases, that is, insensitive to the evolution details but only dependent on the global path, we may ignore the influence from local irregular fluctuation.…”

Realization of Deutsch–Jozsa Algorithm in Rydberg Atoms by Composite Nonadiabatic Holonomic Quantum Computation with Strong Robustness Against Systematic Errors

“…Geometric quantum computation (GQC) [17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32] can work for high-fidelity quantum gates by utilizing the geometric characteristics to resist operational imperfection. The early proposals of GQC, based on adiabatic Abelian [33] or adiabatic non-Abelian geometric phases, [34][35][36][37] always suffer from the detrimental influence of decoherence due to slow operations.…”

Error‐Insensitive 3D Entanglement Gate with Optimal Control of Geometric Evolution

“…[ 55–59 ] The methods of optimal controls can derive the appropriate drivings to construct quantum gates in the best possible ways. [ 60–62 ] Therefore, the effective combinations of the AGQC with optimal controls are highly preferable to greatly reduce or even remove the effects of detrimental sources.…”