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arXiv quant-ph/0005067quant-ph
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相对论量子场的隐形传态

Teleportation of the Relativistic Quantum Field

R. Laiho, S. N. Molotkov, S. S. Nazin

摘要:

研究了相对论性自由量子场中完全未知单粒子态的隐形传态过程。与非相对论性量子力学相反,量子场未知态的隐形传态在原理上不能用未知态和EPR对态所属的两个希尔伯特空间的张量积来描述。原因是存在一个循环(真空)状态共同的未知状态和EPR对。由于公共真空矢量和微因果性原理(场算符的对易关系),隐形传态振幅不可避免地包含与隐形传态过程无关的贡献。因此,在相对论理论中,在非相对论量子力学中理解的隐形传态被证明是不可能的,因为不可能实现作为与各个子系统相关的测量的张量积的适当测量,因此人们只能谈论场作为整体传播的幅度。

英文摘要:

The process of teleportation of a completely unknown one-particle state of a free relativistic quantum field is considered. In contrast to the non-relativistic quantum mechanics, the teleportation of an unknown state of the quantum field cannot be in principle described in terms of a measurement in a tensor product of two Hilbert spaces to which the unknown state and the state of the EPR-pair belong. The reason is of the existence of a cyclic (vacuum) state common to both the unknown state and the EPR-pair. Due to the common vacuum vector and the microcausality principle (commutation relations for the field operators), the teleportation amplitude contains inevitably contributions which are irrelevant to the teleportation process. Hence in the relativistic theory the teleportation in the sense it is understood in the non-relativistic quantum mechanics proves to be impossible because of the impossibility of the realization of the appropriate measurement as a tensor product of the measurements related to the individual subsystems so that one can only speak of the amplitude of the propagation of the field as a whole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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