Dynamically Error-Corrected Gates for Universal Quantum Computation

TL;DR

This paper introduces a Hamiltonian engineering method to design error-corrected quantum gates that are robust against decoherence and operational errors, potentially simplifying fault-tolerant quantum computing.

Contribution

It presents a constructive procedure for creating error-corrected quantum gates without encoding or measurement overhead, using realistic control strategies.

Findings

Enables robust quantum gates through Hamiltonian engineering.

Reduces implementation complexity for fault-tolerant quantum computing.

Provides a general method applicable to open quantum systems.

Abstract

Scalable quantum computation in realistic devices requires that precise control can be implemented efficiently in the presence of decoherence and operational errors. We propose a general constructive procedure for designing robust unitary gates on an open quantum system without encoding or measurement overhead. Our results allow for a low-level error correction strategy solely based on Hamiltonian engineering using realistic bounded-strength controls and may substantially reduce implementation requirements for fault-tolerant quantum computing architectures.