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

• URL: http://arxiv.org/abs/2211.07539v2
• Date: Mon, 12 Dec 2022 13:35:59 GMT
• Title: Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states
• Authors: Jonas Maziero, Marcos L. W. Basso, Lucas C. C\'eleri
• Abstract summary: We study the relation between $P$, $C$ and the distributed entanglement in the entanglement swapping protocol (ESP) We use IBM's quantum computers to verify some instances of these general theoretical results.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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