退相干下最大切片态中隐形传态保真度与基无关相干性的相互作用
Maximally Sliced States as a Framework for Quantum Coherence, Entanglement, and Teleportation under Decoherence
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中文总结 AI 辅助
该研究以三量子比特最大切片态为资源，推导了两种退相干通道下隐形传态保真度与基无关相干性的解析关系，揭示了不同噪声通道对隐形传态的影响，提供了相关相互作用的统一解析框架。
中文摘要 AI 辅助
本研究以三量子比特最大切片（MS）态作为共享纠缠资源，探究环境退相干对量子隐形传态的影响。利用Kraus算符形式，推导了振幅阻尼通道和相位阻尼通道下隐形传态保真度的解析表达式；得到了对应的基无关相干性，建立了两种退相干机制下相干性与隐形传态保真度之间的明确解析关系。进一步将结果以Coffman-Kundu-Wootters（CKW）三方纠缠的形式表达，从而将真正的三方纠缠与隐形传态性能关联起来。分析揭示了两种噪声通道的不同效应：振幅阻尼为实现量子隐形传态引入了依赖于状态的阈值，而相位阻尼在完全退相位前始终保持量子优势。这些结果为理解噪声三量子比特MS态中多体纠缠、量子相干性与隐形传态之间的相互作用提供了统一的解析框架。
英文摘要
Quantum resources such as coherence and entanglement need not exhibit the same dependence on the parameters of a quantum state, and their responses to decoherence can differ qualitatively. We investigate these relationships using the three-qubit maximally sliced (MS) state, whose continuous parameter provides a tunable framework for redistributing quantum correlations. We analyze the relative entropy of coherence, (l_1)-norm coherence, and basis-independent coherence of the tripartite MS state and compare their behavior with the three-tangle. We then trace out one qubit and study the coherence, concurrence, and optimal teleportation fidelity of the resulting bipartite state. For this reduced state, the concurrence coincides with the (l_1)-norm coherence because both are determined by the same off-diagonal matrix element. We further examine the effects of amplitude damping and dephasing. Amplitude damping changes both populations and coherence, whereas dephasing preserves populations while suppressing phase coherence. The three coherence measures respond differently to these channels, showing that no single coherence measure fully characterizes decoherence. Under dephasing, the concurrence remains directly related to the (l_1)-norm coherence, yielding the teleportation-fidelity relation (f^T=(2+C)/3). Our results demonstrate that the MS family provides a useful tunable setting for distinguishing basis-dependent and basis-independent coherence and for studying the different responses of entanglement and teleportation resources to dissipative and phase-decoherence processes.
发表机构
- Techno Main Salt Lake (Engg. Colg.), Techno India Group（泰克诺印度集团萨尔塔莱克工程学院）
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