All entangled states are quantum coherent with locally distinguishable bases
arXiv:2008.11148 · doi:10.1103/PhysRevA.104.L050402
Abstract
We find that a bipartite quantum state is entangled if and only if it is quantum coherent with respect to complete bases of states in the corresponding system that are distinguishable under local quantum operations and classical communication. The corresponding minimal quantum coherence is the entanglement of formation. Connections to the relative entropy of entanglement and quantum coherence, and generalizations to the multiparty case are also considered.
v2:6+epsilon pages, no figures
References in corpus (7)
- Entanglement detection
- Measuring Quantum Coherence with Entanglement
- Coherence of an Entangled Exciton-Photon State
- Quantifying dynamical coherence with dynamical entanglement
- Phase-controlled atom-photon entanglement in a three-level V-type atomic system via spontaneously generated coherence
- Resource conversion between operational coherence and multipartite entanglement in many-body systems
- Coherence and decoherence in photon spin-qubit entanglement
Cited by in corpus (7)
- Coherence requirements for quantum communication from hybrid circuit dynamics
- Role of quantum state texture in probing resource theories and quantum phase transition
- All multipartite entanglements are quantum coherences in locally distinguishable bases
- Quantum coherence with incomplete set of pointers and corresponding wave-particle duality
- Correlation between resource-generating capacities of quantum gates
- Coherence measure of ensembles with nonlocality without entanglement
- Unconditionally superposition-robust entangled state in all multiparty quantum systems