Robustness of optimal probabilistic storage and retrieval of unitary channels to noise

TL;DR

This paper studies how robust optimal probabilistic storage and retrieval of phase gates are to different types of noise, finding higher resistance to dephasing and noise reduction during retrieval.

Contribution

It introduces an analysis of the robustness of probabilistic storage and retrieval of unitary channels under noise, highlighting differences between depolarizing and dephasing effects.

Findings

Resistance to dephasing noise is higher than to depolarization.

Retrieval process can reduce the degree of depolarizing noise.

Performance varies among different realizations under noise conditions.

Abstract

We investigate robustness of probabilistic storage and retrieval device optimized for phase gates to noise. We use noisy input composed of convex combination of unitary channel with either depolarizing or dephasing channel. We find out that the resistance to dephasing noise is higher than to depolarization. Interestingly, for the depolarisation the retrieval reduces the degree of noise. We also examine the possible realizations showing that their performance is different when the noise is present.