Operational connection between predictability and entanglement in entanglement swapping from partially entangled pure states
arXiv:2203.01281 · doi:10.1016/j.physleta.2022.128414
Abstract
Complementarity and entanglement are fundamental features of Quantum Mechanics that were recently related in triality equalities that involve quantum coherence, the wave aspect of a qubit, and quantum predictability and quantum entanglement, the particle aspect of a qubit. In this article, we give an operational connection between redictability and entanglement in entanglement swapping from initially partially entangled states. For this, we show that the predictability of the pre-measurement one-qubit density matrix is directly related to the probability of the partially entangled component of the post-measurement state. Going even further, we analyze the entanglement swapping for partially entangled states in the light of complementarity relations and show that, in the cases where the entanglement increases after a Bell-basis measurement, the predictability is consumed when compared to the initially prepared state.
arXiv comment6 pages, 4 figures
References in corpus (18)
- Concentrating Partial Entanglement by Local Operations
- Quantifying Coherence
- Purification via entanglement swapping and conserved entanglement
- Duality of Quantum Coherence and Path Distinguishability
- Relations between coherence and path information
- Wave-particle duality: an information-based approach
- Entropic framework for wave-particle duality in multipath interferometers
- A measure of physical reality
- Duality games and operational duality relations
- Predictability, Distinguishability and Entanglement
- Complete complementarity relations for multipartite pure states
- Decoherence and Visibility Enhancement in Multi-Path Interference
- An uncertainty view on complementarity and a complementarity view on uncertainty
- Quantitative wave-particle duality relations from the density matrix properties
- Complete complementarity relations: Connections with EPR realism and decoherence and extension to mixed quantum states
- Complete complementarity relations and its Lorentz invariance
- Complete complementarity relations in curved spacetimes
- Predictability as a quantum resource
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