Quantum Computers, Algorithms, and Chaos

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Giulio Casati, Dima L. Shepelyansky, Peter Zoller, Giuliano Benenti
IOS Press, 2006 - Science - 606 pages
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"During the last ten years Quantum Information Processing and Communication (QIPC) has established itself as one of the new hot topic fields in physics, with the potential to revolutionize many areas of science and technology. QIPC replaces the laws of classical physics applied to computation and communication with the more fundamental laws of quantum mechanics. This becomes increasingly important due to technological progress going down to smaller and smaller scales where quantum effects start to be dominant. In addition to its fundamental nature, QIPC promises to advance computing power beyond the capabilities of any classical computer, to guarantee secure communication and establish direct links to emerging quantum technologies, such as, for example, quantum based sensors and clocks. One of the outstanding feature of QIPC is its interdisciplinary character: it brings together researchers from physics, mathematics and computer science. In particular, within physics we have seen the emergence of a new QIPC community, which ranges from theoretical to experimental physics, and crosses boundaries of traditionally separated disciplines such as atomic physics, quantum optics, statistical mechanics and solid state physics, all working on different and complementary aspects of QIPC. This publication covers the following topics: Introduction to quantum computing; Quantum logic, information and entanglement; Quantum algorithms; Error-correcting codes for quantum computations; Quantum measurements and control; Quantum communication; Quantum optics and cold atoms for quantum information; Quantum computing with solid state devices; Theory and experiments for superconducting qubits; Interactions in many-body systems: quantum chaos, disorder and random matrices; Decoherence effects for quantum computing; and Flature prospects of quantum information processing."
 

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Contents

STEANE A tutorial on quantum error correction
1
GRASSL Encoding and decoding quantum errorcorrecting codes
33
Linear optics quantum computation
60
LOQC and quantum error correction
76
TOMBESI Entanglement in quantum optics
95
Continuous variable systems
101
Continuous variable entanglement
109
HEIN W DUR J EISERT R RAUSSENDORF M VAN DEN NEST
116
Loss of entanglement by dephasing
329
Threequbit entanglement
336
Bell inequality with noise correlators
342
G VlDAL Entanglement and matrix product states in onedimensional
349
H MABUCHI Applications of quantum filtering and feedback
383
G FALCI and R FAZIO Quantum computation with Josephson qubits
393
nanocircuits
430
G ITHIER F NGUYEN E COLLIN N BOULANT P J MEESON
447

Definitions for graph states
124
Clifford operations and classical simulation
148
Physical implementations
160
Entanglement in graph states
175
B GEORGEOT Quantum algorithms and quantum chaos
219
VII
265
G BENENTI and G CASATI Quantum chaos decoherence and quantum
267
Effects of imperfections in the quantum computer hardware
280
Quantum noise and quantum trajectories
291
Final remarks
304
Entanglement basics
310
Spin vs orbital entanglement
322
The quantronium circuit
456
ELZERMAN L P KOUWENHOVEN and L M K VANDERSYPEN
471
EsCHNER Quantum computation with trapped ions
499
Experimental techniques
509
BLOCK Engineering multiparticle entanglement with neutral atoms
521
BoseHubbard model of interacting bosons in optical lattices
529
Collapse and revival of a macroscopic quantum field
536
Entanglement generation via spin changing collisions
545
N DAVIDSON A KAPLAN M F ANDERSEN and T GRUNZWEIG Clas
555
Elenco dei partecipanti
596
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