标题： 通过希尔伯特-施密特速度观察多量子比特相关噪声信道的全局记忆效应 显示英文标题

标题： Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed

摘要： 在相关噪声信道中，量子系统动力学的全局记忆效应取决于单个噪声信道的非马尔可夫性（内在记忆）以及信道自身多次使用之间的经典关联（基于关联的记忆）。我们证明，希尔伯特-施密特速度（HSS），一种非马尔可夫性的度量，作为评估这种基于关联的记忆对全局记忆效应作用的可靠性能指标，适用于幺正和非幺正信道。基于关联的记忆强度由信道连续应用之间的经典关联强度决定。我们证明，对于幺正噪声信道，增加系统的量子比特数量会显著削弱HSS对此经典关联强度的敏感性。这种模式表明，大型量子系统的状态演化可能较少受到噪声信道之间经典关联的影响。此外，假设量子比特受到独立或经典关联的局部非马尔可夫幺正信道的影响，我们观察到，随着量子比特数量的增加，多量子比特系统的集体行为会抑制整体系统动力学的非马尔可夫特性。 显示英文摘要

摘要： In correlated noisy channels, the global memory effects on the dynamics of a quantum system depend on both non-Markovianity of the single noisy channel (intrinsic memory) and classical correlations between multiple uses of the channel itself (correlation-based memory). We show that the Hilbert-Schmidt speed (HSS), a measure of non-Markovianity, serves as a reliable figure of merit for evaluating the role of this correlation-based memory on the global memory effects, for both unital and non-unital channels. The intensity of the correlation-based memory is ruled by a classical correlation strength between consecutive applications of the channel. We demonstrate that, for unital noisy channels, increasing the number of qubits of the system significantly weakens the sensitivity of the HSS to this classical correlation strength. Such a pattern indicates that the state evolution of large quantum systems may be less prone to be affected by classical correlations between noisy channels. Moreover, assuming the qubits are affected by independent or classically correlated local non-Markovian unital channels, we observe that, as the number of qubits increases, the collective behavior of the multiqubit system inhibits the non-Markovian features of the overall system dynamics.