Ultrahigh-fidelity composite quantum phase gates

Abstract

A number of composite pulse (CP) sequences for four basic quantum phase gates -- the Z, S, T and general phase gates -- are presented. The CP sequences contain up to 18 pulses and can compensate up to eight orders of experimental errors in the pulse amplitude and duration. The short CP sequences (up to 8 pulses) are calculated analytically and the longer ones numerically. The results demonstrate the remarkable flexibility of CPs accompanied by extreme accuracy and robustness to errors -- three features that cannot be simultaneously achieved by any other coherent control technique. These CP sequences, in particular the Z, S and T gates, can be very useful quantum control tools in quantum information applications, because they provide a variety of options to find the optimal balance between ultrahigh fidelity, error range and speed, which may be different in different physical applications.

arXiv admin note: text overlap with arXiv:2012.14692

References in corpus (11)

• Realization of the quantum Toffoli gate with trapped ions
• Quantum Computing with NMR
• Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
• Arbitrarily Accurate Pulse Sequences for Robust Dynamical Decoupling
• Noise-resistant control for a spin qubit array
• Robust and resource-efficient microwave near-field entangling ${}^9$Be${}^{+}$ gate
• Composite pulses for interferometry in a thermal cold atom cloud
• Accurate Microwave Control and Real-Time Diagnostics of Neutral Atom Qubits
• High-fidelity error-resilient composite phase gates
• Broadband composite polarization rotator
• Narrowband and passband composite pulses for variable rotations

Cited by in corpus (2)

• Ultrabroadband, ultranarrowband and ultrapassband composite polarisation half-wave plates, ultrabroadband composite polarisation pi-rotators and on the quantum-classical analogy
• Robust and Parallel Control of Many Qubits