Increase of entanglement by localPT-symmetric operations

2014/10/17 by Shin-Liang Chen, Guang-Yin Chen, Yueh-Nan Chen · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Discrete mathematics #Mathematics #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum entanglement #Quantum mechanics #quant-ph

paper · pdf · doi:10.1103/physreva.90.054301

published as Phys. Rev. A 90, 054301 (2014) · 6 pages, 5 figures, to appear in PRA (2014)

arxiv created 2014/10/17 · openalex publication_date 2014/11/10 · arxiv updated 2014/12/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

Entanglement plays a central role in the field of quantum information science. It is well known that the degree of entanglement cannot be increased under local operations. Here, we show that the concurrence of a bipartite entangled state can be increased under the local PT-symmetric operation. This violates the property of entanglement monotonicity. We also use the Bell--Clauser-Horne-Shimony-Holt and steering inequalities to explore this phenomenon.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Experimental violation of a Bell's inequality with efficient detection
• Violation of Bell's inequality under strict Einstein locality conditions
• Bell Inequality Violation with Two Remote Atomic Qubits
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Completely positive dynamical semigroups of N-level systems
• LocalPTSymmetry Violates the No-Signaling Principle
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Steering, Entanglement, Nonlocality, and the Einstein-Podolsky-Rosen Paradox
• On the Einstein Podolsky Rosen paradox
• Complex Extension of Quantum Mechanics
• Quantum entanglement

Cited by

• Non-Hermitian Hamiltonians and no-go theorems in quantum information