Fault-tolerant composite Householder reflection

TL;DR

This paper introduces a fault-tolerant method for implementing the quantum Householder reflection, enhancing robustness and fidelity in quantum algorithms through composite pulses and phase gate relations.

Contribution

It presents a novel, highly insensitive implementation of the quantum Householder reflection using composite pulses, improving fault tolerance in quantum operations.

Findings

Implementation is highly insensitive to parameter variations

Achieves high-fidelity quantum state engineering

Applicable to various quantum algorithms

Abstract

We propose a fault-tolerant implementation of the quantum Householder reflection, which is a key operation in various quantum algorithms, quantum-state engineering, generation of arbitrary unitaries, and entanglement characterization. We construct this operation using the modular approach of composite pulses and a relation between the Householder reflection and the quantum phase gate. The proposed implementation is highly insensitive to variations in the experimental parameters, which makes it suitable for high-fidelity quantum information processing.