Entanglement in quantum information theory

Abstract

This thesis covers several aspects of entanglement in the context of quantum information theory.

153 pages, 30 figures. An ancient PhD thesis, covering the time period April 1998 - December 2000. On quant-ph/9806088, quant-ph/9807034, quant-ph/9907021, quant-ph/9912080, quant-ph/0004076, quant-ph/0005101, quant-ph/0007081, quant-ph/0103096, quant-ph/0212007. Some material has only been published here (such as a more detailed discussion of entanglement loss under twirling with respect to the symmetric group as encountered in symmetric group superselection rules, an early independent proof that the negativity is an entanglement monotone and hence a proper measure of entanglement, discussions of entanglement transformations, catalysis, and non-local gates in distributed quantum computation, and some review material)

References in corpus (29)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Separability Criterion for Density Matrices
• Entanglement of a Pair of Quantum Bits
• Quantum Computing
• Separability criterion and inseparable mixed states with positive partial transposition
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• Hidden Variables and the Two Theorems of John Bell
• Conditions for a class of entanglement transformations
• Quantum strategies
• Bell Inequalities and the Separability Criterion
• A Multiparticle Generalization of Entanglement Swapping
• Optimal Cloning of Pure States
• Thermodynamics and the Measure of Entanglement
• A Schmidt number for density matrices
• Entanglement of pure states for a single copy
• Fidelity and Concurrence of conjugated states
• Information transmission through a noisy quantum channel
• Entanglement-assisted local manipulation of pure quantum states
• Limits for entanglement measures
• On the volume of the set of mixed entangled states II
• Experimental demonstration of quantum correlations over more than 10 km
• A rigorous treatment of distillable entanglement
• Minimal conditions for local pure-state entanglement manipulation
• Multipartite generalisation of the Schmidt decomposition
• Approximate transformations and robust manipulation of bipartite pure state entanglement
• Local symmetry properties of pure 3-qubit states
• On Multipartite Pure-State Entanglement
• Separability and distillability in composite quantum systems -a primer-
• Continuity bounds for entanglement

Cited by in corpus (13)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Finite temperature entanglement negativity in conformal field theory
• Entanglement Rearrangement in Self-Consistent Nuclear Structure Calculations
• Entanglement spectrum degeneracy and Cardy formula in 1+1 dimensional conformal field theories
• Branch Point Twist Field Correlators in the Massive Free Boson Theory
• An Introduction to Quantum Entanglement: a Geometric Approach
• Entanglement Content of Quantum Particle Excitations II. Disconnected Regions and Logarithmic Negativity
• Entangling two distant non-interacting microwave modes
• Expectation values of twist fields and universal entanglement saturation of the free massive boson
• An Area Law for the Bipartite Entanglement of Disordered Oscillator Systems
• Revisiting comparison between entanglement measures for two-qubit pure states
• Environment-assisted bosonic quantum communications
• Analysis of trembling hand perfect equilibria in quantum games