Entanglement as the symmetric portion of correlated coherence
arXiv:1805.10750 · doi:10.1103/PhysRevLett.121.220401
Abstract
We show that the symmetric portion of correlated coherence is always a valid quantifier of entanglement, and that this property is independent of the particular choice of coherence measure. This leads to an infinitely large class of coherence based entanglement monotones, which is always computable for pure states if the coherence measure is also computable. It is already known that every entanglement measure can be constructed as a coherence measure. The results presented here show that the converse is also true. The constructions that are presented can also be extended to also include more general notions of nonclassical correlations, leading to quantifiers that are related to quantum discord.
arXiv comment16 Pages. No Figures
References in corpus (29)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantum Coherence as a Resource
- Quantum discord and the power of one qubit
- Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
- Operational Resource Theory of Coherence
- Measuring Quantum Coherence with Entanglement
- Quantum discord as resource for remote state preparation
- Converting Coherence to Quantum Correlations
- Distinguishing separable and entangled states
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Relating the Resource Theories of Entanglement and Quantum Coherence
- Quantum speed limits, coherence and asymmetry
- A quantitative theory of coherent delocalization
- Quantum discord bounds the amount of distributed entanglement
- A Unified View of Quantum Correlations and Quantum Coherence
- Entanglement and coherence in quantum state merging
- Quantum processes which do not use coherence
- Quantifying coherence of Gaussian states
- Quantifying Coherence in Infinite Dimensional Systems
- A general framework for quantum macroscopicity in terms of coherence
- Quantifying the Coherence Between Coherent States
- Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
- Generation and detection of bound entanglement
- Genuine Distributed Coherence
- Disturbance-Based Measure of Macroscopic Coherence
- Coherence, Asymmetry, and Quantum Macroscopicity
Cited by in corpus (24)
- Nonclassical Light and Metrological Power: An Introductory Review
- Thermal entanglement and correlated coherence in two coupled double quantum dots systems
- Fisher information universally identifies quantum resources
- Partial coherence and quantum correlation with fidelity and affinity distances
- Quantifying quantum coherence of optical cat states
- Effect of induced transition on the quantum entanglement and coherence in two-coupled double quantum dots system
- Correlation-induced coherence and its use in detecting quantum phase transitions
- Quantifying coherence in terms of Fisher information
- All entangled states are quantum coherent with locally distinguishable bases
- Characterizing coherence with quantum observables
- Unification of quantum resources in distributed scenarios
- Additivity of entanglement of formation via entanglement-breaking space
- Identifying quantum phase transitions via geometric measures of nonclassicality
- Quantum error correction assisted quantum metrology without entanglement
- Pairwise Measurement Induced Synthesis of Quantum Coherence
- Characterizing entanglement using quantum discord over state extensions
- Operational symmetries of entangled states
- From Classical to quantum stochastic process
- Coherence of assistance and assisted maximally coherent states
- Complete complementarity relations in system-environment decoherent dynamics
- To observe, or not to observe, quantum-coherent dark matter in the Milky Way, that is a question
- Scalable protocol to coherence estimation from scarce data: Theory and experiment
- Unconditionally superposition-robust entangled state in all multiparty quantum systems
- Entanglement as the cross-symmetric part of quantum discord