arXiv:2412.18290quant-phcond-mat.dis-nn2024-12被引 5

揭示耗散如何改变量子储层近临界点的信息编码模式

Dissipation alters modes of information encoding in small quantum reservoirs near criticality

  • 用部分信息分解法分析双耦合克尔振子的编码机制
  • 临界点附近编码由冗余转为协同,提升短期响应能力
  • 耗散强时利于长期记忆,适合设计量子计算储层

量子储层计算(QRC)是利用近期量子设备处理时序机器学习任务的有前景范式。然而,在多体开放系统中,非线性相互作用与耗散交织复杂,难以识别性能增强的机制。本文研究一个由两个耦合克尔非线性振子构成的最小驱动-耗散量子储层模型,该平台可实验实现,具有可控耦合、内在非线性和可调光子损耗。通过部分信息分解(PID),我们分析不同动力学状态下系统如何将输入信号编码为冗余信息(每个振子共享的信息)和协同信息(需联合观测才能获取)。关键结果表明:在标记动力学分岔的临界点附近,系统从主要冗余编码转变为协同编码。进一步证明,协同编码增强了短期响应能力,从而提升即时记忆保留;而强耗散则导致更多冗余编码,支持长期记忆保留。这些发现阐明了不稳定性与耗散的相互作用如何塑造小量子系统的信息处理能力,为分析和设计QRC平台提供了细粒度的信息论视角。

原文摘要 · Abstract (English)

Quantum reservoir computing (QRC) has emerged as a promising paradigm for harnessing near-term quantum devices to tackle temporal machine learning tasks. Yet identifying the mechanisms that underlie enhanced performance remains challenging, particularly in many-body open systems where nonlinear interactions and dissipation intertwine in complex ways. Here, we investigate a minimal model of a driven-dissipative quantum reservoir described by two coupled Kerr-nonlinear oscillators, an experimentally realizable platform that features controllable coupling, intrinsic nonlinearity, and tunable photon loss. Using Partial Information Decomposition (PID), we examine how different dynamical regimes encode input drive signals in terms of redundancy (information shared by each oscillator) and synergy (information accessible only through their joint observation). Our key results show that, near a critical point marking a dynamical bifurcation, the system transitions from predominantly redundant to synergistic encoding. We further demonstrate that synergy amplifies short-term responsiveness, thereby enhancing immediate memory retention, whereas strong dissipation leads to more redundant encoding that supports long-term memory retention. These findings elucidate how the interplay of instability and dissipation shapes information processing in small quantum systems, providing a fine-grained, information-theoretic perspective for analyzing and designing QRC platforms.

量子计算信息编码耗散系统储层计算

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