A Class of Special Matrices and Quantum Entanglement

Abstract

We present a kind of construction for a class of special matrices with at most two different eigenvalues, in terms of some interesting multiplicators which are very useful in calculating eigenvalue polynomials of these matrices. This class of matrices defines a special kind of quantum states -- $d$-computable states. The entanglement of formation for a large class of quantum mixed states is explicitly presented.

17 pages

References in corpus (19)

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Cited by in corpus (16)

• Entanglement of Formation of Bipartite Quantum States
• Violation of monogamy inequality for higher-dimensional objects
• A lower bound of concurrence for multipartite quantum states
• Local Invariants for a Class of Mixed States
• A Note on Entanglement of Formation and Generalized Concurrence
• Experimental Determination of Entanglement for Arbitrary Pure States
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• A Class of Bound Entangled States
• Lower Bound of Concurrence Based on Positive Maps
• Entanglement Property and Monogamy Relation of Gerneralized Mixed W
• Lower and upper bounds for entanglement of Rényi-$\alpha$ entropy
• Lower bound on concurrence for arbitrary-dimensional tripartite quantum systems
• Method for measuring the entanglement of formation for arbitrary-dimensional pure states
• A Note on Quantum Entanglement and PPT
• Lower bound of multipartite concurrence based on sub-multipartite quantum systems
• Differential Geometry of Bipartite Quantum States