Enhanced-Fidelity Ultrafast Geometric Quantum Computation Using Strong Classical Drives

TL;DR

This paper introduces a method for ultrafast, high-fidelity geometric quantum gates that surpass the rotating wave approximation, enabling stronger drives and significantly reducing decoherence effects.

Contribution

It presents a general approach to implement nonadiabatic geometric quantum gates beyond RWA, achieving 5-10 times faster operations with higher fidelities.

Findings

Gate speed improved by 5-10 times

Fidelity of ≥99.99% achieved

Decoherence effects significantly reduced

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.