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Bruss D. (ed.), Leuchs G. (ed.) — Lectures on Quantum Information
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Название: Lectures on Quantum InformationАвторы: Bruss D. (ed.), Leuchs G. (ed.) Аннотация: Quantum Information Processing is a young and rapidly growing field of research at the intersection of physics, mathematics, and computer science. Its ultimate goal is to harness quantum physics to conceive—and ultimately build—"quantum" computers that would dramatically overtake the capabilities of today's "classical" computers. One example of the power of a quantum computer is its ability to efficiently find the prime factors of a larger integer, thus shaking the supposedly secure foundations of standard encryption schemes.
Язык: Рубрика: Computer science /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2007Количество страниц: 610Добавлена в каталог: 15.11.2009Операции: Положить на полку |
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Generator matrix 13 Geodesic 487 494 Geodesics, Riemannian 493 Geodesics, sub-Riemannian 493 Geometric control 481 487 494 Geometric measure of entanglement 247 Geometric phase 382 Geometric phase gate 440 GHZ state 181 Global entanglement 247 Global fidelity 55 Gottesman/Chuang trick 349 Gradient flow 487—491 495 GRAPE algorithm 489 491 Graph 472 Graph isomorphism 30 97 Graph state 194 360 Grover's algorithm 98 Grover's search 98 Hadamard gate 88 Hahn — Banach theorem 128 Hamiltonian path 22 Hamming code 14 Hamming distance 10 Hamming weight 10 Hanbury Brown and Twiss 547 Hartree — Fock 465 Hashing 190 196 201 Hashing inequality 169 Heisenberg limit 577 Heisenberg model 452 Heisenberg picture 518 Heisenberg — Langevin equations 521 Heitler — London approximation 461 Hidden subgroup problem 97 492 Hidden subgroup problem, abelian 492 Hidden translation problem 97 Hidden variables 136 High-finesse cavity 549 Hilbert space 128 History of quantum computing 423 Holevo bound 138 Holonomy 383 Homodyne detection 151 303 Homodyne method 543 Hubbard model 406 461 464 Hubbard model, derivation 406 Hubbard model, extended 464 Hubbard model, Mott insulator 401 Hubbard model, offsite interation 406 Hubbard model, onsite interaction 408 Hubbard model, superfluid 401 Hubbard model, tunneling 407 Hubbard model, tunneling matrix elements 406 Huffman coding 6 Hund — Mulliken approximation 461 hybridization 461 462 465 Hyperplane 129 Identity 316 IIIa:def:3 127 Impedance 472 475 Incomparable states 164 Individual attack 277 Inseparability 155 Inseparable 154 Instance 17 Intensity correlation 547 Interaction phase 411 Interference 323 Interferometer 576 Ion, delta kick 400 Ion, internal states 393 Ion, motional states 392 Ion, phase gate 395 Ion, quantum control gate 397 Ion, single qubit gate 394 Ion, state dependent interaction 395 Ion, trapping 391 Ion, two-qubit gate 395 Ising interaction 483 489 492 493 496 Jamiolkowski isomorphism 134 Jaynes principle 47 Jaynes — Cummings Hamiltonian 518 Jaynes — Cummings — Paul model 555 563 Joint entropy 7 Josephson device 481 494 496 Josephson junction 469 Josephson junction, unintended 476 k-SAT 27 Kinematic phases 411 Kirchhoff's laws 473 KLM scheme (Knill — Laflamme — Milbum) 349 Koenigsberg bridges 17 Kraus operator 239 Kraus operators 106 Lamb shift 557 567 Lamb — Dicke factor 432 Lamb — Dicke limit 393 Landau symbols 19 Langevin stochastic forces 521 Laser-cooling 544 Leakage 471 Lie algebra 483 490 493 494 496 Lie-Algebra 492 Light force 549 Light source 546 Light-atoms interface 515 Line defect 564 Linear ion crystal 429 Linear ion trap 427 Linear map 131 Linear optical quantum computation 375 Linear optics 352 Linear spin chain 493 Local oscillator 520 Localizable entanglement 241 LOCC 161 162 179 LOCC, asymptotic transformations 164 LOCC, logarithm of the negativity 171 LOCC, logical Heisenberg picture 366 LOCC, logical qubit 112 LOCC, long distance communication 308 LOCC, single copy transformations 163 Lossy channel 48 278 Mach — Zehnder interferometer 323 576 Macroscopic 451 469 Macroscopic superposition 417 Magnetic resonance 481 Majorization 127 163 Majorization criterion 127 MAP 131 Map, completely positive 132 Map, positive (PM) 131 Master equation 474 Matrices Pauli 332 Matrices Stochastic 316 325 Matrix, generator 13 Matrix, parity check 13 Maximal connectedness 241 Maximally entangled states 162 Maxwell — Bloch equations 518 Measurement 334 Measurement, decoherence in flux qubit 477 Measurement, exchange 465 Measurement, single spin 467 Measurement, spin decoherence time 458 467 Measurement, spin relaxation time 467 Metrology 249 Microcavities 466 Micromaser 540 Microscopic 451 Millenium problems 29 Minimum distance 10 Minimum distance, quantum 113 Minimum spanning tree 32 Mixed state entanglement 181 Mixing 40 Modes 148 Modes, bosonic 147 Modes, optical 148 Momentum 148 151 Monogamy of entanglement 241 Motional sideband 394 Multipartite pure state entanglement 180 Multiparty entanglement purification 194 Multiply-controlled NOT gate 493 Mutual information 7 N 190 Negative partial transposition (NPT) 126 negativity 171 Network complexity 481 493 495 496 Network graph 472 NMR quantum computer 484 487 NMR quantum computing 495 No-cloning theorem 53 109 Node 472 Noiseless coding theorem 6 Noisy apparatus 197 Noisy coding theorem 8 Noisy operation 198 Non Abelian Quantum Fourier transform 97 Non-Gaussian transformations 303 Noncloning theorem 259 Nondetermini Stic polynomial 22 Nonlocality 257 541 Nonunity gain teleportation 267 Normal mode decomposition 47 NP 22 NP, NP-complete 28 NP, NP-hard 34 NPT 183 NSS (nonlinear-sign-shift gate) 357 Number states 43 Occupation-number qubit 351 one-time pad 271 One-way function 30 One-way quantum computation 359 Open system 549 Operator 148 Operator 131 Operator controllability 483 Operator, annihilation 148 Operator, creation 148 Operator, density 149 154 Operator, hermitian 154 Operator, symmetrized 149 Optical density 520 Optical experiments 544 Optical Feshbach resonance 418 Optical lattice 374 403 Optical lattice, blue detuning 405 Optical lattice, controlled coherent collision 410 Optical lattice, geometry 403 Optical lattice, impurity 417 Optical lattice, loading 408 Optical lattice, loading, defect suppression 408 Optical lattice, loading, irreversible scheme 408 Optical lattice, maximally entangled state 415 Optical lattice, red detuning 405 Optical lattice, single qubit gate 409 Optical lattice, site offset 403 Optical lattice, spontaneous emission 405 Optical lattice, state dependence 404 Optical lattice, state dependent interaction 412 Optical lattice, state selective movement 405 Optical lattice, two qubit gate 410 Optical parametric amplification 148 Optical potential 401 Optical qubits 351 Optimal control 494 495 Optimal control theory 481 Optimization 31 Overhauser field 468 Para-hydrogen 486 495 Parabolic confinement 460 Parallel transport 382 Parametric down-conversion 261 Parametric fluorescence 547 Parity check matrix 13 Partial transposition 125 171 183 Partial transposition criterion 126 Passive transformations 46 Paul trap, stability diagram 427 Pauli group 116 248 Pauli principle 459 463 PBG materials see photonic crystals 564 Period finding 93 Phase conjugation 49 Phase covariant cloning 62 Phase distribution 543 Phase insensitive amplifier 300 Phase qubit 470 Phase sensitivity 577 Phase shifter 300 Phase space 43 579 Phase-space 149 155 Phase-space, displacements 150 Phase-space, variables 149 Phonons 468 Photon 512 Photon antibunching 546 Photon bunching 546 Photon number 148 152 Photon number basis 148 Photon statistics 546 Photon-number splitting attack 278 Photonic band-gap 550 Photonic bandgap materials see photonic crystals 564 Photonic crystals 564 Photonic crystals, anisotropic model 565 Photonic crystals, isotropic model 565 Photonic crystals, Lorentzian models 566 Physical qubit 112 Point defect 564 Polynomial reduction 27 Pontryagin's maximum principle 489—491 POSITION 148 151 Positive partial transposition (PPT) 126 PPT 183 Prim's algorithm 32 Primality 24 Prime field 11 Privacy amplification 276 Probabilistic cloning 68 Probabilistic gates 356 Probability amplitudes 323 325 Probability axioms 317 Product channel 107 Product states 240 Projective special unitary group 490 491 Proof checking 30 Proof Existence 31 Pseudo-pure state 482 485 486 Pseudo-spin system 481 494 496 Pseudospin 452 470 Pure dephasing time 474 Pure state 485 495 Pure state entanglement 179 Pure states 40 Purification loop 508
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