Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy
DOI10.1007/s10773-022-05153-3zbMath1497.81028arXiv2206.08049OpenAlexW4282595386MaRDI QIDQ2145983
Zhaoqi Wu, Wendao Yuan, Shao-Ming Fei
Publication date: 15 June 2022
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.08049
Hermitian, skew-Hermitian, and related matrices (15B57) Measures of information, entropy (94A17) Quadratic and bilinear forms, inner products (15A63) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum entropies (81P17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantumness of quantum ensembles
- Quantum cryptography: public key distribution and coin tossing
- Relative entropy between quantum ensembles
- How quantum is a quantum ensemble?
- Density matrix in quantum mechanics and distinctness of ensembles having the same compressed density matrix
- On the distinguishability of random quantum states
- Deterministic quantum state transformations
- The mutual affinity of random measures
- Quantifying quantum coherence based on the generalized \(\alpha\)-\(z\)-relative Rényi entropy
- Quantumness of ensembles via coherence
- Quantifying the quantumness of ensembles via generalized \(\alpha\)-\(z\)-relative Rényi entropy
- A volume inequality for quantum Fisher information and the uncertainty principle
- Quantum information masking of Hadamard sets
- OPTIMAL EAVESDROPPING ON NOISY STATES IN QUANTUM KEY DISTRIBUTION
- Matrix Analysis
- Information and quantum measurement
- A ‘Pretty Good’ Measurement for Distinguishing Quantum States
- Quantum cryptography using any two nonorthogonal states
- 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
- α-z-Rényi relative entropies
- Symmetric informationally complete positive-operator-valued measures: A new computer study
- Decomposition results for Gram matrix determinants
This page was built for publication: Quantumness of pure-state ensembles via coherence of Gram matrix based on generalized \(\alpha\)-\(z\)-relative Rényi entropy
