Quantifying the quantumness of pure-state ensembles via coherence of Gram matrix

Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

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Quantumness of quantum ensembles
Relative entropy between quantum ensembles
How quantum is a quantum ensemble?
Brukner-Zeilinger invariant information
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Monotone metrics on matrix spaces
Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy
Quantumness of ensembles via coherence
Average versus maximal coherence
Quantifying the quantumness of ensembles via generalized \(\alpha\)-\(z\)-relative Rényi entropy
Gram matrices of mixed-state ensembles
Skew information decreases under quantum measurements
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OPTIMAL EAVESDROPPING ON NOISY STATES IN QUANTUM KEY DISTRIBUTION
Matrix Analysis
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Quantum cryptography using any two nonorthogonal states
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Superposition Quantification
ON THE EXISTENCE OF PHYSICAL TRANSFORMATIONS BETWEEN SETS OF QUANTUM STATES
An Indeterminacy Relation for Several Observables and Its Classical Interpretation
Symmetric informationally complete quantum measurements
Symmetric informationally complete positive-operator-valued measures: A new computer study
Decomposition results for Gram matrix determinants
INFORMATION CONTENTS OF DISTRIBUTIONS
Maximal coherence and the resource theory of purity

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