Quantum information processing: from theory to experiment

Dimitris G. Angelakis, Matthias Christandl, Artur Ekert, Alastair Kay, Sergei Kulik1586036114, 9781586036119, 9781423797500

The Antikythera mechanism was probably the world’s first ‘analog computer’ — a sophisticated device for calculating the motions of stars and planets. This remarkable assembly of more than 30 gears with a differential mechanism, made on Rhodes or Cos in the first century B.C., revised the view of what the ancient Greeks were capable of creating at that time. A comparable level of engineering didn’t become widespread until the industrial revolution nearly two millennia later. This collection of papers provides a good overview of the current state-of-the-art of quantum information science. We do not know how a quantum Antikythera will look like but all we know is that the best way to predict the future is to create it. From the perspective of the future, it may well be that the real computer age has not yet even begun.

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Table of contents :
Title page……Page 1
Introduction……Page 5
Contents……Page 7
Quantum Communication and Entanglement……Page 11
Quantum Entanglement: Detection Methods and Usefulness as a Physical Resource……Page 13
On Quantum Cryptography with Bipartite Bound Entangled States……Page 29
Unitary Local Permutations on Bell Diagonal States of Qudits and Quantum Distillation Protocols……Page 40
Quantum Communication Channels in Infinite Dimensions……Page 51
Introduction to Relativistic Quantum Information……Page 71
Generalized Bell Inequalities and the Entanglement of Pure States……Page 93
Thermal Entanglement in Infinite Dimensional Systems……Page 99
Improved Algorithm for Quantum Separability and Entanglement Detection……Page 103
Generalised Entanglement Swapping……Page 109
Quantum Information Processing with Low-Dimensional Systems……Page 113
Local Information and Nonorthogonal States……Page 119
Optimal Alphabets for Noise-Resistant Quantum Cryptography……Page 123
Quantum Algorithms and Error Correction……Page 129
Quantum Algorithms and Complexity……Page 131
An Introduction to Measurement Based Quantum Computation……Page 147
Quantum Error Correction and Fault-Tolerance……Page 169
Simulating Fourier Transforms for Open Quantum Systems in Higher Encoding Bases……Page 180
Entanglement, Area Law and Group Theory……Page 185
A Quantum Algorithm for Closest Pattern Matching……Page 190
Classical and Quantum Fingerprinting in the One-Way Communication Model……Page 194
Quantum Information Theory in Spin Systems……Page 199
Introduction to Localizable Entanglement……Page 201
State Transfer in Permanently Coupled Quantum Chains……Page 228
Geometric Effects in Spin Chains……Page 248
Quantum Walks and Decoherence on a 1+1 Lattice……Page 252
Certain Aspects of Quantum Random Walk Asymptotics……Page 256
Implementations of Quantum Information Processing……Page 263
From Entanglement to Quantum Key Distribution……Page 265
Preparation and Measurement of Qutrits Based on Single-Mode Biphotons……Page 291
Cavity Quantum Electrodynamics: Quantum Entanglement and Information……Page 304
Possibility of Quantum Computation by Utilizing Carbon Nanotubes – Cooper Pair Splitting by Tomonaga-Luttinger Liquid -……Page 322
Implementing Quantum Processors in the Solid State……Page 331
Quantum Field Trajectories Under Photon Number QND Measurement……Page 336
Quantum Computation Beyond the “Standard Circuit Model”……Page 340
Entangled Light from Optical Time Boundaries……Page 347
Strong Light-Matter Coupling: Parametric Interactions in a Cavity and Free-Space……Page 351
Macroscopic Quantum Information Channel Via the Polarization-Sensitive Interaction Between the Light and Spin Subsystems……Page 356
From Network Complexity to Time Complexity Via Optimal Control……Page 363
Author Index……Page 369