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arXiv · 2211.07539

Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states

Jonas Maziero·Marcos L. W. Basso·Lucas C. Céleri
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Abstract

Complete complementarity relations, as e.g. $P(\rho_{A})^{2} + C(\rho_{A})^{2} + E(|\Psi\rangle_{AB})^{2}=1$, constrain the local predictability, $P$, and local coherence, $C$, and the entanglement, $E$, of bipartite pure states. For pairs of qubits prepared initially in a particular class of partially entangled pure states with null local coherence, these relations were used in Ref. [Phys. Lett. A, 451, 128414 (2022)] to provide an operational connection between local predictability of the pre-measurement states with the probability of the maximally entangled components of the states after the Bell-basis measurement of the entanglement swapping protocol (ESP). In this article, we extend this result for general pure initial states establishing the relation between $P$, $C$ and the distributed entanglement in the ESP. We use IBM's quantum computers to verify experimentally some instances of these general theoretical results.

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Jonas Maziero, Marcos L. W. Basso, Lucas C. Céleri. 2022-11-14. Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states. https://doi.org/10.1016/j.physleta.2022.128576

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