Local PT Symmetry Violates the NoSignaling Principle
Abstract
Bender et al. [Phys. Rev. Lett. 80, 5243 (1998)] have developed PTsymmetric quantum theory as an extension of quantum theory to nonHermitian 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 PTsymmetric theory is either a trivial extension or likely false as a fundamental theory.
 Publication:

Physical Review Letters
 Pub Date:
 April 2014
 DOI:
 10.1103/PhysRevLett.112.130404
 arXiv:
 arXiv:1312.3395
 Bibcode:
 2014PhRvL.112m0404L
 Keywords:

 03.65.Xp;
 03.65.Ca;
 03.67.Ac;
 03.67.Hk;
 Tunneling traversal time quantum Zeno dynamics;
 Formalism;
 Quantum algorithms protocols and simulations;
 Quantum communication;
 Quantum Physics;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 3 pages, 1 figure