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This research investigates the robustness of basis-independent quantum coherence in tripartite states under various dephasing environments, revealing that non-Markovian dynamics can nearly freeze coherence loss. The study demonstrates that collective dephasing preserves intrinsic coherence more effectively than local noise, offering critical insights for maintaining quantum resources in realistic noisy systems. These findings advance the theoretical understanding of multipartite coherence preservation, which is essential for developing fault-tolerant quantum information processing protocols.
Basis-Independent Coherence Dynamics of Tripartite States under Pure Dephasing
arXiv:2607.13512v3 Announce Type: replace Abstract: Quantum coherence is a fundamental quantum resource whose preservation under environmental interactions is essential for quantum information processing. While most studies have focused on basis-dependent coherence measures, the dynamics of intrinsic coherence quantified by basis-independent measures remain largely unexplored. In this work, we investigate the dynamics of basis-independent quantum coherence for several representative tripartite pure and mixed states subjected to local and common dephasing environments in both Markovian and non-Markovian regimes. We show that Markovian local dephasing leads to state-dependent coherence degradation, whereas collective dephasing significantly enhances coherence preservation through decoherence-free sectors. More importantly, non-Markovian environments give rise to nearly frozen coherence dynamics for both pure and mixed states, demonstrating the remarkable robustness of intrinsic coherence against dephasing environment. A comparison with the measure of relative entropy of coherence reveals that basis-independent coherence measure exhibits substantially greater resilience and qualitatively different dynamical behaviour than its basis-dependent counterpart. These results provide new insights into the preservation of intrinsic multipartite coherence in open quantum systems and highlight basis-independent coherence as a robust quantum resource for realistic noisy quantum technologies.
Abstract:Quantum coherence is a fundamental quantum resource whose preservation under environmental interactions is essential for quantum information processing. While most studies have focused on basis-dependent coherence measures, the dynamics of intrinsic coherence quantified by basis-independent measures remain largely unexplored. In this work, we investigate the dynamics of basis-independent quantum coherence for several representative tripartite pure and mixed states subjected to local and common dephasing environments in both Markovian and non-Markovian regimes. We show that Markovian local dephasing leads to state-dependent coherence degradation, whereas collective dephasing significantly enhances coherence preservation through decoherence-free sectors. More importantly, non-Markovian environments give rise to nearly frozen coherence dynamics for both pure and mixed states, demonstrating the remarkable robustness of intrinsic coherence against dephasing environment. A comparison with the measure of relative entropy of coherence reveals that basis-independent coherence measure exhibits substantially greater resilience and qualitatively different dynamical behaviour than its basis-dependent counterpart. These results provide new insights into the preservation of intrinsic multipartite coherence in open quantum systems and highlight basis-independent coherence as a robust quantum resource for realistic noisy quantum technologies.
arXiv:2607.13512 [quant-ph]
(or arXiv:2607.13512v3 [quant-ph] for this version)
From: Sovik Roy Dr. [view email] [v1] Wed, 15 Jul 2026 07:05:41 UTC (435 KB) [v2] Thu, 16 Jul 2026 15:56:10 UTC (435 KB) [v3] Thu, 3 Sep 2026 09:52:35 UTC (439 KB)
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