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Main Authors: Liu, Qiushi, Yang, Yuxiang
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2403.09519
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author Liu, Qiushi
Yang, Yuxiang
author_facet Liu, Qiushi
Yang, Yuxiang
contents Optimized quantum control can enhance the performance and noise resilience of quantum metrology. However, the optimization quickly becomes intractable when multiple control operations are applied sequentially. In this work, we propose efficient tensor network algorithms for optimizing strategies of quantum metrology enhanced by a long sequence of control operations. Our approach covers a general and practical scenario where the experimenter applies $N-1$ interleaved control operations between $N$ queries of the channel to estimate and uses no or bounded ancilla. Tailored to different experimental capabilities, these control operations can be generic quantum channels or variational unitary gates. Numerical experiments show that our algorithm has a good performance in optimizing the metrological strategy for as many as $N=100$ queries. In particular, our algorithm identifies a strategy that can outperform the state-of-the-art strategy when $N$ is finite but large.
format Preprint
id arxiv_https___arxiv_org_abs_2403_09519
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient tensor networks for control-enhanced quantum metrology
Liu, Qiushi
Yang, Yuxiang
Quantum Physics
Optimized quantum control can enhance the performance and noise resilience of quantum metrology. However, the optimization quickly becomes intractable when multiple control operations are applied sequentially. In this work, we propose efficient tensor network algorithms for optimizing strategies of quantum metrology enhanced by a long sequence of control operations. Our approach covers a general and practical scenario where the experimenter applies $N-1$ interleaved control operations between $N$ queries of the channel to estimate and uses no or bounded ancilla. Tailored to different experimental capabilities, these control operations can be generic quantum channels or variational unitary gates. Numerical experiments show that our algorithm has a good performance in optimizing the metrological strategy for as many as $N=100$ queries. In particular, our algorithm identifies a strategy that can outperform the state-of-the-art strategy when $N$ is finite but large.
title Efficient tensor networks for control-enhanced quantum metrology
topic Quantum Physics
url https://arxiv.org/abs/2403.09519