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arXiv:1207.3294 · Annals of Physics

Recovering entanglement by local operations

A. D’Arrigo, R. Lo Franco, Giuliano Benenti, E. Paladino, G. Falci

Published Jul 23, 2014• 126 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2014.07.021

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Entanglement dynamics of two noninteracting qubits, locally affected by random telegraph noise at pure dephasing, exhibits revivals. These revivals are not due to the action of any nonlocal operation; thus their occurrence may appear paradoxical since entanglement is by definition a nonlocal resource. We show that a simple explanation of this phenomenon may be provided by using the (recently introduced) concept of hidden entanglement, which signals the presence of entanglement that may be recovered with the only help of local operations.
Abstract Entanglement is one of essential quantum resources in quantum information processing, playing an important role during quantum communication and computation. While any system unavoidably interacts with its surrounding environment, this thus will result in decoherence or dissipation effect. With this in mind, a natural question arises: how to recover quantum entanglement under decoherence inducing by the environmental noises. In this work, our attempt is to propose an effective strategy to optimally achieve entanglement recovery. Specifically, we derive a nontrivial condition satisfied by any operation U , i.e. ( U ⊗ I ) † ( U ̃ ⊗ I ) = f ( U ) ( I ⊗ I ) , which will definitely recover the entanglement of an arbitrary two-qubit system, and more importantly offer an explicit physical explanation towards the intrinsic mechanics of the entanglement recovery. By means of derivations, we obtain the appropriate operational strength to realize optimal entanglement recovery through taking advantage of our proposed methods. As illustrations, we apply some local operations complying with our presented strategy on validly protecting entanglement, including PT -symmetry operation, quantum weak measurement and quantum reversal measurement.