Entanglement as the cross-symmetric part of quantum discord
arXiv:2303.10389 · doi:10.1016/j.physleta.2023.129030
Abstract
In this paper, we show that the minimal quantum discord over "cross-symmetric" state extensions is an entanglement monotone. In particular, we show that the minimal Bures distance of discord over cross-symmetric extensions is equivalent to the Bures distance of entanglement. At last, we refute a long-held but unstated convention that only contractive distances can be used to construct entanglement monotones by showing that the entanglement quantifier induced by the Hilbert-Schmidt distance, which is not contractive under quantum operations, is also an entanglement monotone.
arXiv comment9 pages, 1 figure. arXiv admin note: text overlap with arXiv:2012.03835
References in corpus (37)
- Quantum entanglement
- Introducing Quantum Discord
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantifying Entanglement
- Quantum Coherence as a Resource
- The classical-quantum boundary for correlations: discord and related measures
- Entanglement Measures and Purification Procedures
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Measuring Quantum Coherence with Entanglement
- Reference frames, superselection rules, and quantum information
- Geometric measure of entanglement and applications to bipartite and multipartite quantum states
- Monogamy of entanglement and other correlations
- Quantum versus classical correlations in Gaussian states
- Entanglement and the Power of One Qubit
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Coherence as a resource in decision problems: The Deutsch-Jozsa algorithm and a variation
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- A quantitative theory of coherent delocalization
- Alternative framework for quantifying coherence
- Entanglement measures and the Hilbert-Schmidt distance
- Quantum discord bounds the amount of distributed entanglement
- A Unified View of Quantum Correlations and Quantum Coherence
- Toward computability of trace distance discord
- Quantum cost for sending entanglement
- Separable states can be used to distribute entanglement
- Negativity of quantumness and its interpretations
- On the Role of Coherence in Shor's Algorithm
- Geometric measures of quantum correlations: characterization, quantification, and comparison by distances and operations
- Quantifying quantum discord and entanglement of formation via unified purifications
- The quantumness of correlations revealed in local measurements exceeds entanglement
- Entanglement as the symmetric portion of correlated coherence
- Quantumness of correlations, quantumness of ensembles and quantum data hiding
- Characterizing entanglement using quantum discord over state extensions