相干控制量子过程的纠缠能力
Entangling capability of coherently controlled quantum processes
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中文总结 AI 辅助
该研究解析表征量子开关和时间翻转两种相干控制量子过程的纠缠能力，推导纠缠相关表达式，扩展分析至多种信道，揭示存在耗散时仍可生成最大纠缠，为相干控制量子过程的纠缠生成提供系统分析。
中文摘要 AI 辅助
我们解析表征两种典型的相干控制量子过程——量子开关（quantum switch）和时间翻转（time-flip）的纠缠生成能力。保留控制量子系统而不进行测量或丢弃，将控制量子系统和目标量子系统视为 bipartite 系统，假设输入为纯乘积态，因此任何输出纠缠都反映该过程的纠缠能力。对于量子比特幺正操作的量子开关，我们推导了纠缠的精确表达式，同时给出几何表征和相干性-纠缠守恒关系。随后将分析扩展到二元随机幺正、泡利（Pauli）、振幅阻尼和广义振幅阻尼信道。我们证明，在组合下可交换的信道的量子开关无法纠缠可分输入；但即使存在耗散，也可生成最大纠缠，例如，将可破缺纠缠的阻尼信道与比特翻转信道进行量子开关，可将乘积输入转化为最大纠缠态。对于两个广义振幅阻尼信道，共同的稳态会阻止纠缠生成，而不同的稳态布居则可实现纠缠生成。我们对幺正和二元随机幺正信道的时间翻转进行了类似研究。我们的发现系统分析了通过相干控制信道顺序或输入-输出方向可生成的纠缠量。
英文摘要
We analytically characterize entanglement generation by two paradigmatic coherently controlled quantum processes, the quantum switch and time-flip. Retaining rather than measuring or discarding the control, we treat the control and target as the bipartite system and assume pure product inputs, so that any output entanglement reflects the entangling capability of the process. For the switch of qubit unitaries, we derive exact expressions for entanglement, together with a geometric characterization and a coherence-entanglement conservation relation. We then extend our analysis to binary random unitary, Pauli, amplitude damping, and generalized amplitude damping channels. We prove that switch of channels commuting under composition cannot entangle a separable input. Yet maximal entanglement is possible even with dissipation, e.g., an entanglement-breaking damping channel switched with a bit-flip can transform a product input into a maximally entangled state. For two generalized amplitude damping channels, a common stationary state prevents entanglement, while different stationary populations can enable it. We present an analogous study for the time-flip of unitary and binary random unitary channels. Our findings provide a systematic analysis of how much entanglement can be generated by coherent control of channel order or input-output direction.
发表机构
- Faculty of Engineering and Natural Sciences, Sabanci University（萨班哲大学工程与自然科学学院）
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