Mixedness and entanglement in the presence of localized closed timelike curves

Mixedness and entanglement in the presence of localized closed timelike curves We examine mixedness and entanglement of the chronology-respecting (CR) system assuming that quantum mechanical closed timelike curves (CTCs) exist in nature. In order to discuss these two issues analytically, we introduce the qubit system and apply the general controlled operations between CR and CTC systems. We use the magnitude of Bloch vector as a measure of mixedness. While Deutschian-CTC (D-CTC) either preserves or decreases the magnitude, postselected-CTC (P-CTC) can increase it. Non-intuitively, even the completely mixed CR qubit can be converted into a pure state after CTC qubit travels around the P-CTC. It is also shown that while D-CTC cannot increase the entanglement of CR system, P-CTC can increase it. This means that any partially entangled state can be maximally entangled pure state if P-CTC exists. Thus, distillation of P-CTC-assisted entanglement can be easily achieved without preparing the multiple copies of the partially entangled state. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Mixedness and entanglement in the presence of localized closed timelike curves

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Springer US
Copyright © 2016 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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