Genuine and Non-Genuine Quantum Non-Markovianity: A Unified Information-Theoretic Review

• URL: http://arxiv.org/abs/2603.28277v3
• Date: Wed, 08 Apr 2026 08:58:01 GMT
• Title: Genuine and Non-Genuine Quantum Non-Markovianity: A Unified Information-Theoretic Review
• Abstract summary: We review developments in characterizing quantum non-Markovianity based on information backflow and the nature of its origin.<n>We analyze several frameworks, including state-distinguishability -based, channel-based (CP-divisibility''), and process-tensor methods.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Understanding whether the features of open quantum dynamics are genuinely quantum remains a central challenge in quantum dynamics. Even though the non-Markovian behavior of quantum dynamics has been widely investigated across different settings, there is still no consensus on which properties of a dynamics reflect genuine quantum features and which arise from classical or non-genuine quantum sources. In this review, we provide detailed information on recent developments in characterizing quantum non-Markovianity based on information backflow and the nature of its origin. We also present a survey on how various approaches separate classical and quantum contributions, as well as how they define operational tasks that reveal genuine quantum non-Markovianity. We analyze several frameworks, including state-distinguishability -based, channel-based (``CP-divisibility''), and process-tensor methods. For each framework, we outline the underlying physical motivation, the criteria proposed to distinguish genuine quantum non-Markovianity from practical or apparent memory effects. We further compare different approaches and their strengths and limitations. The review aims to clarify the conceptual and operational aspects of quantum non-Markovian processes based on their nature and to provide a foundation for future research on quantum non-Markovianity and its role in advancing quantum information science and technology.

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