Entanglement Distillation; A Discourse on Bound Entanglement in Quantum Information Theory

Abstract

PhD thesis (University of York). The thesis covers in a unified way the material presented in quant-ph/0403073, quant-ph/0502040, quant-ph/0504160, quant-ph/0510035, quant-ph/0512012 and quant-ph/0603283. It includes two large review chapters on entanglement and distillation.

192 pages

References in corpus (12)

• A complete family of separability criteria
• Quantifying Entanglement with Witness Operators
• Detecting multipartite entanglement
• Entangling Power of Permutations
• Binegativity and geometry of entangled states in two qubits
• Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
• Characterization of distillability of entanglement in terms of positive maps
• The equivalence of two approaches to the design of entanglement distillation protocols
• A note on separability criteria for multipartite state
• Positive maps, states, entanglement and all that; some old and new problems
• $k$-decomposability of positive maps
• A note on "A Matrix Realignment Method for Recognizing Entanglement," quant-ph/0205017 v1