Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

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 ($\ge 99.99\%$) 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 $\ge 99\%$ fidelities.

13 pages, 8 figures, 3 tables

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Cited by in corpus (3)

• Quantum amplification and simulation of strong and ultrastrong coupling of light and matter
• Criticality-Based Quantum Metrology in the Presence of Decoherence
• Geometric and holonomic quantum computation