LocalPTSymmetry Violates the No-Signaling Principle

2013/12/12 by Yi-Chan Lee, Min-Hsiu Hsieh, Steven T. Flammia +2 · 8 citations
Mathematics · Physics and Astronomy · #Combinatorics #Geometry #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Symmetry (geometry) #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physrevlett.112.130404

published as Phys. Rev. Lett. 112, 130404 (2014) · 3 pages, 1 figure

arxiv created 2013/12/12 · openalex publication_date 2014/04/03 · arxiv updated 2014/04/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Testing quantum mechanics
• ExactPT-symmetry is equivalent to Hermiticity
• Nonlinear Quantum Mechanics Implies Polynomial-Time Solution forNP-Complete and #PProblems
• Complex Extension of Quantum Mechanics
• The maximum speed of dynamical evolution

Cited by

• IS PT -SYMMETRIC QUANTUM THEORY FALSE AS A FUNDAMENTAL THEORY?
• Increase of entanglement by localPT-symmetric operations
• Non-Hermitian Hamiltonians and no-go theorems in quantum information
• Time-dependent PT-symmetric quantum mechanics in generic non-Hermitian systems
• No-signaling principle and quantum brachistochrone problem in PT-symmetric fermionic two- and four-dimensional models
• Leggett-Garg inequalities and temporal correlations for a qubit under PT-symmetric dynamics
• Quantum non-Hermitian topological sensors
• Photonic quantum simulations of coupled PT-symmetric Hamiltonians

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