Estimating Parameterized Entanglement Measure

Abstract

The parameterized entanglement monotone, the $q$-concurrence, is also a reasonable parameterized entanglement measure. By exploring the properties of the $q$-concurrence with respect to the positive partial transposition and realignment of density matrices, we present tight lower bounds of the $q$-concurrence for arbitrary $q⩾2$. Detailed examples are given to show that the bounds are better than the previous ones.

arXiv comment15 pages,3 figures

References in corpus (33)

• Quantum entanglement
• Quantum Cryptography
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Separability of Mixed States: Necessary and Sufficient Conditions
• Quantum secret sharing
• Entanglement of a Pair of Quantum Bits
• Quantum metrology
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• Universal state inversion and concurrence in arbitrary dimensions
• Entanglement monotones
• Robustness of entanglement
• Entanglement Measures under Symmetry
• Further results on the cross norm criterion for separability
• Concurrence of arbitrary dimensional bipartite quantum states
• The Entanglement of Formation for Isotropic States
• I-concurrence and tangle for isotropic states
• Convex-roof extended negativity as an entanglement measure for bipartite quantum systems
• Robustness of Multi-Party Entanglement
• Entanglement of Formation of Bipartite Quantum States
• Tsallis entropy and entanglement constraints in multi-qubit systems
• Nonadditive conditional entropy and its significance for local realism
• Generalized entropic criterion for separability
• Remote Preparation and Distribution of Bipartite Entangled States
• Entanglement Rényi $\alpha$-entropy
• Two-state teleportation
• A new parameterized entanglement monotone
• Evaluating the geometric measure of multiparticle entanglement
• Flag Additivity in Quantum Resource Theories
• Classical Statistics Inherent in a Quantum Density Matrix

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