Quantum coherence and correlations in quantum system
arXiv:1408.3194 · doi:10.1016/j.optcom.2015.05.041
Abstract
Criteria of measure quantifying quantum coherence, a unique property of quantum system, are proposed recently. In this paper, we first give an uncertainty-like expression relating the coherence and the entropy of quantum system. This finding allows us to discuss the relations between the entanglement and the coherence. Further, we discuss in detail the relations among the coherence, the discord and the deficit in the bipartite quantum system. We show that, the one-way quantum deficit is equal to the sum between quantum discord and the relative entropy of coherence of measured subsystem.
14 pages, comments welcome
References in corpus (26)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantifying Entanglement
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- The classical-quantum boundary for correlations: discord and related measures
- The Role of Relative Entropy in Quantum Information Theory
- Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
- Observable measure of quantum coherence in finite dimensional systems
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Local versus non-local information in quantum information theory: formalism and phenomena
- Limits for entanglement measures
- Extending Noether's theorem by quantifying the asymmetry of quantum states
- The Fidelity and Trace Norm Distances for Quantifying Coherence
- Quantum coherence and uncertainty in the anisotropic XY chain
- Quantum discord bounds the amount of distributed entanglement
- Quantum discord as a resource for quantum cryptography
- Quantum cost for sending entanglement
- Quantifying Superposition
- Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames
- Quantum phases with differing computational power
- Witnessing quantum coherence in the presence of noise
- Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
- Thermodynamics of quantum coherence