Evolution of entanglement for quantum mixed states

Abstract

A simple relation is introduced for concurrence to describe how much the entanglement of bipartite system is at least left if either (or both) subsystem undergoes an arbitrary physical process. This provides a lower bound for concurrence of mixed states (pure states are included) in contrast to the upper bound given by Konrad et al [Nature Physics \textbf{4}, 99 (2008)]. Our results are also suitable for a general high dimensional bipartite quantum systems.

6 pages and 1 figure

References in corpus (19)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Security of quantum key distribution using d-level systems
• Scalable multi-particle entanglement of trapped ions
• Quantum Open System Theory: Bipartite Aspects
• Quantum cryptography with 3-state systems
• Optimal eavesdropping in cryptography with three-dimensional quantum states
• Measures and dynamics of entangled states
• Variational Characterisations of Separability and Entanglement of Formation
• A Factorization Law for Entanglement Decay
• Concurrence Vectors in Arbitrary Multipartite Quantum Systems
• Entanglement induced in spin-1/2 particles by a spin chain near its critical points
• Entanglement evolution in finite dimensions
• Mixed State Entanglement of Assistance and the Generalized Concurrence
• Faithful Teleportation with Partially Entangled States
• Measurable Concurrence of Mixed States
• Genuine tripartite entanglement monotone of $(2\otimes 2\otimes n)-$ dimensional systems

Cited by in corpus (13)

• Evolution equation for quantum coherence
• Evolution equation for geometric quantum correlation measures
• Entanglement-annihilating and entanglement-breaking channels
• Entanglement evolution of two qubits under noisy environments
• Quantum Entanglement: Separability, Measure, Fidelity of Teleportation and Distillation
• Evolution equation of entanglement for multi-qubit systems
• Modulated Entanglement Evolution Via Correlated Noises
• On Estimation of Fully Entangled Fraction
• Equation of motion for entanglement
• Entanglement Creation and Storage in Two Qubits Coupling to an Anisotropic Heisenberg Spin Chain
• Equation of motion for multiqubit entanglement in multiple independent noisy channels
• Entanglement distribution maximization over one-side Gaussian noisy channel
• Symmetries of Multipartite Entanglement Evolution in Many-Sided Local Channels