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

Author(s)

Maziero, Jonas ; Basso, Marcos L. W. ; Celeri, Lucas C.

• Document type: Journal article
• Source: Physics Letters A; v. 457, p. 5-pg., 2023-01-05.

Abstract

Complete complementarity relations, as e.g. P(PA)2 + C(PA)2 + E(|`y)AB)2 = 1, constrain the local predictability and local coherence and the entanglement 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. [6] (Basso and Maziero (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. We obtain a general relation between pre-measurement local predictability and coherence and the distributed entanglement in the ESP. We use IBM's quantum computers to verify experimentally some instances of these general theoretical results.(c) 2022 Elsevier B.V. All rights reserved. (AU)

• FAPESP's process: 22/09496-8 - Exploring the extreme effects ofrotation and electromagnetic fields in general relativity: new exact solutions and numerical approximations
• Grantee: Marcos Leopoldo Wayhs Basso
• Support Opportunities: Scholarships in Brazil - Doctorate