Entanglement Monotones from Complementarity Relations
arXiv:2012.14471 · doi:10.1088/1751-8121/ac83fc
Abstract
Bohr's complementarity and Schrödinger's entanglement are two prominent physical characters of quantum systems. In this letter, we formally connect them. It is known that complementarity relations for wave-particle duality are saturated only for pure, single-quanton, quantum states. For mixed states, the wave-particle quantifiers never saturate a complementarity relation and can even reach zero for a maximally mixed state. To fully characterize a quanton, it is not enough to consider its wave-particle aspect; we have also to regard its quantum correlations with other systems. Here we prove that for any complete complementarity relation involving predictability and visibility measures that satisfy the criteria established in the literature, these corresponding quantum correlations are entanglement monotones.
arXiv comment5 pages
References in corpus (19)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Quantifying Coherence
- Quantifying Entanglement
- Entanglement monotones
- Robustness of entanglement
- Duality of Quantum Coherence and Path Distinguishability
- Quantum Coherence via Skew Information and Its Polygamy
- Relations between coherence and path information
- Operational one-to-one mapping between coherence and entanglement measures
- Experimental analysis of the quantum complementarity principle
- Turning off quantum duality
- Multipartite entanglement measure for all discrete systems
- Complete complementarity relations for multipartite pure states
- Wehrl entropy, Lieb conjecture and entanglement monotones
- 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
- Experimental tests of density matrix's properties-based complementarity relations
Cited by in corpus (14)
- An uncertainty view on complementarity and a complementarity view on uncertainty
- Complete complementarity relations: Connections with EPR realism and decoherence and extension to mixed quantum states
- Experimental tests of density matrix's properties-based complementarity relations
- Coherence and entropy complementarity relations of generalized wave-particle duality
- An Updated Quantum Complementarity Principle
- Predictability as a quantum resource
- Local predictability and coherence versus distributed entanglement in entanglement swapping from partially entangled pure states
- Quantum simulation of the generalized-entangled quantum eraser and the related complete complementarity relations
- Using quantum computers to identify prime numbers via entanglement dynamics
- Unveiling quantum complementarity tradeoffs in relativistic scenarios
- Photonic Energy-Coherence Theorem and Experimental Validations
- Digital quantum simulation of bosonic systems and quantum complementarity
- Efficient detection of localization transitions using predictability
- Entanglement swapping for partially entangled qudits and the role of quantum complementarity