论文标题

在相对论量子场介导的两分Q量系统中的纠缠产生和变质

Entanglement Generation and Decoherence in a Two-Qubit System Mediated by Relativistic Quantum Field

论文作者

Hidaka, Yoshimasa, Iso, Satoshi, Shimada, Kengo

论文摘要

由Bose等人的麦片 - 摩特 - 摩特 - 冰室(BMV)提案,用于检测时空几何形状的量子叠加,我们研究了由相对论自由标量表介导的两个旋转(Qubits)之间的量子纠缠产生的玩具模型。随着时间的演变,通过与场的相互作用产生自旋相关。由于相关的粒子创建到开放系统中,因此旋转的量子状态被部分破裂。在本文中,我们对基于封闭式路径形式主义的模型进行了全面研究,重点是相对论因果关系和量子机械互补性。我们计算各种数量,例如自旋相关性,纠缠熵,相互信息和消极,并在各种限制情况下研究其行为。特别是,我们计算两个自旋的互信息,并将其与自旋相关函数进行比较。我们还讨论了为什么除非两个旋转彼此因果影响,否则在产生自旋相关时,没有任何量子纠缠。

Motivated by the Bose et al.-Matletto-Vedral (BMV) proposal for detecting quantum superposition of spacetime geometries, we study a toy model of a quantum entanglement generation between two spins (qubits) mediated by a relativistic free scalar field. After time evolution, spin correlation is generated through the interactions with the field. Because of the associated particle creation into an open system, the quantum state of spins is partially decohered. In this paper, we give a comprehensive study of the model based on the closed-time path formalism, focussing on relativistic causality and quantum mechanical complementarity. We calculate various quantities such as spin correlations, entanglement entropies, mutual information and negativity, and study their behaviors in various limiting situations. In particular, we calculate the mutual information of the two spins and compare it with spin correlation functions. We also discuss why no quantum entanglement can be generated unless both spins are causally affected by one another while spin correlations are generated.

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