Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

• URL: http://arxiv.org/abs/2203.06831v3
• Date: Wed, 21 Dec 2022 10:55:06 GMT
• Title: Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives
• Authors: Ye-Hong Chen, Adam Miranowicz, Xi Chen, Yan Xia, Franco Nori
• Abstract summary: We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA) This protocol is compatible with most optimal control methods used in previous RWA protocols.
• Score: 6.363345013314321
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus, it is as robust as (or even more robust than) the RWA protocols. Using counter-rotating effects allows us to apply strong drives. Therefore, we can improve the gate speed by 5--10 times compared to the RWA counterpart for implementing high-fidelity ($\geq 99.99\%$) gates. Such an ultrafast evolution (nanoseconds, even picoseconds) significantly reduces the influence of decoherence (e.g., the qubit dissipation and dephasing). Moreover, because the counter-rotating effects no longer induce gate infidelities (in both the weak and strong driving regimes), we can achieve a higher fidelity compared to the RWA protocols. Therefore, in the presence of decoherence, one can implement ultrafast geometric quantum gates with $\geq 99\%$ fidelities.

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