局域 PT 对称违反了无信号原理。

Local PT symmetry violates the no-signaling principle.

机构信息

Physics Department, National Tsing-Hua University, Hsinchu City 300, Taiwan and Centre for Quantum Computation & Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology, Sydney, New South Wales 2007, Australia.

Centre for Quantum Computation & Intelligent Systems, Faculty of Engineering and Information Technology, University of Technology, Sydney, New South Wales 2007, Australia.

出版信息

Phys Rev Lett. 2014 Apr 4;112(13):130404. doi: 10.1103/PhysRevLett.112.130404. Epub 2014 Apr 3.

DOI:10.1103/PhysRevLett.112.130404

PMID:24745396

Abstract

Bender et al. [Phys. Rev. Lett. 80, 5243 (1998)] have developed PT-symmetric quantum theory as an extension of quantum theory to non-Hermitian Hamiltonians. We show that when this model has a local PT symmetry acting on composite systems, it violates the nonsignaling principle of relativity. Since the case of global PT symmetry is known to reduce to standard quantum mechanics A. Mostafazadeh [J. Math. Phys. 43, 205 (2001)], this shows that the PT-symmetric theory is either a trivial extension or likely false as a fundamental theory.

摘要

本德等人 [Phys. Rev. Lett. 80, 5243 (1998)] 将 PT 对称量子理论作为量子理论对非厄米哈密顿量的扩展。我们表明，当这个模型对复合系统作用局部 PT 对称时，它违反相对论的非定域性原理。由于全局 PT 对称的情况已知会简化为标准量子力学 A. 马斯特法扎德 [J. Math. Phys. 43, 205 (2001)]，这表明 PT 对称理论要么是一个琐碎的扩展，要么作为一个基本理论很可能是错误的。