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Trapped Ion Quantum Computing

Quantum Advantage in Learning Mixed Unitary Channels

arXiv
Authors: Yue Tu, Liang Jiang

Year

2025

Paper ID

17020

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We study the task of learning mixed unitary channels using Fisher information, under different quantum resource assumptions including ancilla and concatenation. Our result shows that the asymptotic sample complexity scales as frac{r}{dvarepsilon2}, where r is the rank of the channel (i.e.\ the number of different unitaries), d is the dimension of the system, and varepsilon2 is the mean-square error. Thus the critical resource is the ancilla, which mirrors the result in \cite{chen2022quantum} but in a more precise form, as we point out that r is also important. Additionally, we demonstrate the practical potential of mixed unitary channels by showing that random mixed unitary channels are easy to learn.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • We study the task of learning mixed unitary channels using Fisher information, under different quantum resource assumptions including ancilla and concatenation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2511.13683 [2] arXiv https://arxiv.org/abs/2511.13683 [3] Publisher https://arxiv.org/abs/2511.13683

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