A statistical portrait of the entanglement decay of two-qubit memories

Abstract

We present a novel approach to the study of entanglement decay, which focuses on collective properties. As an example, we investigate the entanglement decay of a two-qubit system, produced by local identical reservoirs acting on the qubits, for three experimentally and theoretically relevant cases. We study the probability distributions of disentanglement times, a quantity independent of the measure used to quantify entanglement, and the time-dependent probability distribution of concurrence. Analytical results are obtained for initially uniformly distributed pure states. The calculation of these probability distributions gives a complete insight on how different decoherence channels affect the entanglement initially contained in the set of two-qubit pure states. Numerical results are reported for randomly distributed initial mixed states. Although the paper focuses in Markovian noisy channels, we show that our results also describe non-autonomous and non-Markovian channels.

8 pages, 7 figures

References in corpus (15)

• Finite-Time Disentanglement via Spontaneous Emission
• Sudden Death of Entanglement
• Quantum Open System Theory: Bipartite Aspects
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
• Sudden Death of Entanglement: Classical Noise Effects
• Vanishing quantum discord is necessary and sufficient for completely positive maps
• Completely Positive Maps and Classical Correlations
• Experimental multiparticle entanglement dynamics induced by decoherence
• A Factorization Law for Entanglement Decay
• Manipulating sudden death of entanglement of two-qubit X-states in thermal reservoirs
• The Geometry of Entanglement Sudden Death
• Coherence stabilization of a two-qubit gate by AC fields
• Entanglement dynamics in open two-qubit systems via diffusive quantum trajectories
• Asymptotic Entanglement Dynamics and Geometry of Quantum States

Cited by in corpus (3)

• Ultimate entanglement robustness of two-qubit states against general local noises
• Average entanglement dynamics in open two-qubit systems with continuous monitoring
• Generalized Two-Qubit Whole and Half Hilbert-Schmidt Separability Probabilities