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    Weight-based measure of quantum memory as a universal and operational benchmark

    Jinghang Zhang and Yu Luo*

    • *Contact author: penroseluoyu@gmail.com

    Phys. Rev. A 112, 062408 – Published 5 December, 2025

    DOI: https://doi.org/10.1103/9fj9-x3v6

    Abstract

    Quantum memory plays a critical role in quantum communication, sensing, and computation. However, studies on quantum memory under a unified benchmarking framework remain scarce. In this paper we propose a weight-based quantifier as a benchmarking method to evaluate the performance advantage of quantum memory in nonlocal exclusion tasks. We establish a general lower bound for the weight-based measure of quantum memory. Moreover, this measure provides fundamental theoretical bounds for transforming a general channel into an ideal quantum memory. Finally, we present explicit calculations of the weight-based quantifier for various channels, including unitary channels, depolarizing channels, maximal replacement channels, stochastic damping channels, and erasure channels.

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