Entanglement purification protocol for a mixture of a pure entangled state and a pure product state

Abstract

We present an entanglement purification protocol for a mixture of a pure entangled state and a pure product state, which are orthogonal to each other. The protocol is combination of bisection method and one-way hashing protocol. We give recursive formula for the rate of the protocol for different states, i.e. the number of maximally entangled two-qubit pairs obtained with the protocol per a single copy of the initial state. We also calculate numerically the rate for some states.

4 pages, 1 figure

References in corpus (12)

• Mixed State Entanglement and Quantum Error Correction
• Concentrating Partial Entanglement by Local Operations
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantifying Entanglement
• Entanglement Measures and Purification Procedures
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Distillation of secret key and entanglement from quantum states
• Relating quantum privacy and quantum coherence: an operational approach
• Classical information and distillable entanglement
• Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
• The distillable entanglement of multiple copies of Bell states
• Distillable entanglement in $d\otimes d$ dimension

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