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.

arXiv comment6 pages, 5 figures, to appear in PRA (2014)

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Cited by in corpus (32)

• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Non-Hermitian Hamiltonians and no-go theorems in quantum information
• Consistency of PT-symmetric quantum mechanics
• Hunting for the non-Hermitian exceptional points with fidelity susceptibility
• Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor
• Flattening the Curve with Einstein's Quantum Elevator: Hermitization of Non-Hermitian Hamiltonians via a Generalized Vielbein Formalism
• Experimental observation of information flow in the anti-$\mathcal{P}\mathcal{T}$-symmetric system
• Delayed sudden death of entanglement at exceptional points
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Stable States with Non-Zero Entropy under Broken $\mathcal{P}\mathcal{T}$-Symmetry
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Embedding, simulation and consistency of $\mathcal{P}\mathcal{T}$ -symmetric quantum Theory
• Exploring the impact of fluctuation-induced criticality on non-hermitian skin effect and quantum sensors
• Quantum state discrimination in a PT-symmetric system
• Observing a Changing Hilbert-Space Inner Product
• No-signaling principle and Bell inequality in PT-symmetric quantum mechanics
• 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
• Non-Hermitian wave packet approximation for coupled two-level systems in weak and intense fields
• Entanglement increase from local interaction in the absence of initial quantum correlation in the environment and between the system and the environment
• Local preservation of no-signaling in multiparty PT-symmetric evolutions
• Acute entanglement and Photon/Phonons statistics in a balanced/unbalanced PT-symmetry systems
• Lüders bounds of Leggett-Garg inequalities, $\mathcal{P}\mathcal{T}$- symmetric evolution and arrow-of-time
• $\mathcal{P}\mathcal{T}$-symmetric mapping of three states and its implementation on a cloud quantum processor
• Necessary condition for information transfer under simulated parity-time-symmetric evolution
• Stronger sum uncertainty relations for non-Hermitian operators
• Protecting coherence in the non-Hermitian two-level system
• Non-Hermiticity induced thermal entanglement phase transition
• Quantum speed limit time of a qubit system with non-Hermitian detuning
• Quantum Simulation of Two-Level $PT$-Symmetric Systems Using Hermitian Hamiltonians