Increase of entanglement by local PT -symmetric operations

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-CHSH and steering inequalities to explore this phenomenon.

6 pages, 5 figures, to appear in PRA (2014)

References in corpus (6)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Faster than Hermitian Quantum Mechanics
• Bell inequality violation with two remote atomic qubits
• The Naimark dilated PT-symmetric brachistochrone
• Mixed-state evolution in the presence of gain and loss

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• Stable States with Non-Zero Entropy under Broken $\mathcal{P}\mathcal{T}$-Symmetry
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Quantum state discrimination in a PT-symmetric system
• Exceptional points and exponential sensitivity for periodically driven Lindblad equations
• Restrain the losses of the entanglement and the non-local advantage of quantum coherence for accelerated quantum systems
• Experimental demonstration of the dynamics of quantum coherence evolving under a PT-symmetric Hamiltonian on an NMR quantum processor
• Classical analogs of generalized purities, entropies, and logarithmic negativity
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time
• Stronger sum uncertainty relations for non-Hermitian operators
• Protecting coherence in the non-Hermitian two-level system
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians
• Non-Hermiticity induced thermal entanglement phase transition