Авторизация
Поиск по указателям
Pavičić M. — Quantum Computation and Quantum Communication: Theory and Experiments
Обсудите книгу на научном форуме Нашли опечатку?
Название: Quantum Computation and Quantum Communication: Theory and ExperimentsАвтор: Pavičić M. Аннотация: Mladen Pavicic presents the main elements of the quantum computation and communication theories and their implementation in a self-consistent way that keeps the reader from getting lost in details. The book is not a textbook, does not contain exercises, and can be read without a copybook. It introduces concepts like quantum computer circuits, physical computing, qubit formalism, quantum Turing machine, quantum cryptography, and quantum error correction by means of elementary quantum mechanical formalism and elements of classical computation theory. The concepts that do not have classical counterparts, like quantum entanglement, teleportation, and the no-cloning theorem are introduced with the help of the corresponding experiments. Yet, the presentation does not stop short of discussing some challenging points: The classical Turing machine is a mathematical procedure that singles out the binary Boolean algebra for classical computers. Can the quantum Turing machine provide us with a quantum algebra for quantum computers? The qubit is a two-level system. What are the details of its three-dimensional representation on and in the Bloch sphere? Quantum circuits trace the histories of each qubit and their mutual control-target relationships. How do we handle entangled qubits that share the same state? Shor's algorithm for factoring numbers in a polynomial time is considered one of the most important boosts to the development of quantum computing since the security of today's e-business depends on the assumed exponential classical complexity of factoring numbers. Has quantum cryptography eliminated the need of implementing Shor's algorithm? Would-be super-fast quantum computers can beuniversal simulators of quantum systems. Can they also be universal computers?
Язык: Рубрика: Физика /Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 2006Количество страниц: 221Добавлена в каталог: 14.11.2009Операции: Положить на полку |
Скопировать ссылку для форума | Скопировать ID
Предметный указатель
Phase, shift, correction 80 Phase-coding, entangled pair 132 Phase-coding, EPR pair 132 Phase-coding, quantum cryptography 81 Phonon 110 112 Phonon, anticommutation relations 112 Phonon, state 112 Phosphorus donor 102 Photon, angular momentum 20 Photon, entangled 62 Photon, gun 127 Photon, idler 129 Photon, on demand 127 140 Photon, particle aspect 18 Photon, Planck energy 18 Photon, pump 129 Photon, signal 129 Photon, total angular momentum 21 Photon, wave aspect 18 Physical computation 34 Pickup coil 96 Planck energy 18 Planck energy, electron 93 Planck energy, photon 18 PMOS 9 PNP MOSFET 9 Poisson distribution 127 Polarization 18 Polarization, circular 20 147 Polarization, Hilbert space 156 Polarization, linear 18 19 22 39 40 44 59 63 68 70 129 147 Polarization, nonlinear 129 Polarization-coding, entangled pair 131 Polarization-coding, EPR pair 131 Polarizing beam splitter 150 Population, inversion 138 Population, inverted 140 Poset, orthomodular, 193 Poynting vector 19 21 Precession 96 Precession, frequency 97 Prime, relatively 67 180 Privacy amplification 85 Probabilistic, device, quantum 20 Probabilistic, intrinsically quantum measurement 27 Probabilistic, transition function, Turing machine 190 Probabilistic, Turing machine 190 Probability, amplitudes, quantum 27 Probability, coincidence 61 62 Probability, quantum 20 27 28 Projector 27 Propagation vector 20 Propositional logic 7 Protocol, B92 81 82 Protocol, BB84 69 82 Protocol, Bennett — Brassard 69 Protocol, six-state 81 Pseudo CNOT gate 160 Public key cryptography, classical 66 Public key protocol, classical 67 Public key protocol, RSA 67 Pump photon 129 Pure state 28 40 Purification 153 qed 90 QED, cavity 88 124 QKD 125 127 QND device 157 Quantum, bit-flip 76 Quantum, bits 17 Quantum, CCNOT gate 77 Quantum, circuit 30 32 52 55—57 77—80 122 153 176 182 191 Quantum, circuit, diagram 32 182 Quantum, circuit, interaction-free 166 Quantum, circuit, quantum logic 61 Quantum, circuit, size 30 Quantum, coin 173 Quantum, computation, roadmap 124 Quantum, computer, cavity quantum electrodynamics (QED) 88 Quantum, computer, continuous 194 Quantum, computer, ion trap 121 Quantum, computer, Kane 103 Quantum, computer, NMR 98 Quantum, computer, silicon-based 103 Quantum, controlled-controlled-NOT gate 77 Quantum, cryptography 36 64 69 Quantum, cryptography, continuous variables 126 Quantum, cryptography, entangled pairs 126 128 Quantum, cryptography, free space transmission 126 Quantum, cryptography, phase-coding 81 Quantum, cryptography, roadmap 126 Quantum, cryptography, single-photon sources 126 127 Quantum, cryptography, weak laser pulses 126 Quantum, dot 128 152 Quantum, Fourier transform 173 183 Quantum, gate 17 23 29 108 Quantum, information theory 61 Quantum, key distribution 125 Quantum, logic 15 61 Quantum, logic, completeness 194 Quantum, logic, gate 17 29 Quantum, logic, proper 194 Quantum, logic, soundness 194 Quantum, measurement 27 Quantum, measurement, intrinsically probabilistic 27 Quantum, network 20 Quantum, network, DARPA 125 Quantum, nondemolition detection device 157 Quantum, number, angular momentum 89 147 Quantum, number, magnetic 147 Quantum, probabilistic device 20 Quantum, probability 20 27 28 Quantum, probability, amplitudes 27 Quantum, register 182 Quantum, repeater 151 Quantum, transition function, Turing machine 190 Quantum, Turing machine 190 Quarter-wave plate 22 149 166 Quaternions, (skew) field of 191 196 Qubit 19 Qubit, control 51 Qubit, entangled 57 Qubit, flying 20 123 Qubit, stationary 20 123 Qubit, target 51 Qutrits 51 QWP 22 166 Rabi, flopping frequency 115 Rabi, frequency 115 119 Radio-frequency (RF) 96 103 Radio-frequency (RF), magnetic field, Kane computer 103 Radio-frequency (RF), magnetic field, NMR computer 96 Raman, adiabatic passage, stimulated 144 Raman, scheme 113 Ray, extraordinary 68 Ray, ordinary 68 Real numbers, field of 191 196 Reckonability 5 Red sideband frequency 121 Reflectance 41 Reflection coefficient 41 Reflectivity 161 Register, quantum 182 Relatively prime numbers 67 180 Resonance, interaction-free detection 163 Resonant pulses 96 Resonator 161 Resonator, Fabry — Perrot 138 Resonator, optical 138 Resonator, total-internal-reflection, monolithic 161 Reversible circuit 16 54 Reversible logic 15 Reversible logic gate 15 Reversible universal gate 15 RF 96 103 RF, coil 96 RF, electric field 110 RF, field 103 RF, generator 96 RF, pulses 96 RF, signals 96 Right-hand circular polarization 21 Ritt's characteristic set calculations 171 Roadmap, quantum computation 124 Roadmap, quantum cryptography 126 Rotating wave approximation 115 Round-trip 161 RSA, key 35 RSA, public key protocol 67 Rubidium 148 165 S-gate 107 Scalable ion trap computer 122 Schroedinger, cat states 57 Schroedinger, equation 114 136 142 187 197 Schroedinger, picture 120 Selection frequency 162 Semiconductor 9 Semiconductor, Si 103 Separable subspace 26 Set 12 105 Sheffer stroke 7 Shor's algorithm 31 35 36 64 98 137 180 181 Shor's algorithm, exponential speedup 181 Shor's algorithm, exponential time 181 Shor's algorithm, NMR 98 180 183 Si semiconductor 103 Si substrate 103 Sideband frequency 121 Sifted key 71 Signal Photon 129 Silicon-based nuclear spins 88 100 Simon's algorithm 31 180 Simon's algorithm, exponential speedup 180 Single-electron transistor 12 105 Single-photon, detector 126 Single-photon, Fock state 127 Singlet state 43 62 Singlet state, maximal 153 Singlet state, nonmaximal 153 Sisyphus cooling 111 119 Six-state protocol 81 Size of a quantum circuit 30 SO (3) group 47 Solid state 124 Space, finite dimensional 26 Space, Fock 40 Space, Hilbert, composite 136 Space, Hilbert, embedding 156 Space, Hilbert, n-dimensional 167 Space, Hilbert, polarization 156 Space, spin 48 Space, vector 24 Special 2-dimensional unitary group 47 Special orthogonal 3-dimensional rotation group 47 Spherical mirror, optical cavity 140 Spin, electron 91 100 Spin, space 48 Spin, subspace, Kane computer 106 Spin-orbit interaction 91 102 147 State, Bell 154 State, cloned 58 State, copied 58 State, dark 143 145 147 State, dark, cavity 146 State, dark, teleportation 147 State, decomposition 156 State, empty 40 State, entangled 45 57 79 State, entangled, on demand 122 State, Fock, single-photon 127 State, hyper-entangled 156 State, metastable 138 State, number 117 State, pure 28 40 State, singlet 43 62 State, singlet, maximal 153 State, singlet, nonmaximal 153 State, teleported 64 State, triplet 62 131 State, unknown 58 137 State, vacuum 40 117 Stimulated Raman adiabatic passage 144 STIRAP 144 146 149 Stokes, laser 144 Stokes, laser, beam 143 Stokes, laser, field 144 Strong interaction 190 SU(2) group 47 Subexponential complexity 35 180 Subspace, closed 26 Subspace, linear 27 Subspace, separable 26 Subspace, spin, Kane computer 106 Substrate 9 Substrate, Si 103 Super-polynomial complexity 180 Superconducting 124 Superposition 20 22 24 167 Superposition, lattice 195 Superposition, principle lattice 195 swapper 156 Syndrome 75 tally 4 Target qubit 51 Teleportation 61 63 68 150 151 Teleportation, deterministic 122 Teleported state 64 Tensor product 40 Toffoli gate 16 54 Tokamak 87 Total-internal-reflection resonator monolithic 161 transistor 9 Transistor, barrier 10 Transistor, channel 9 Transistor, circuit 12 Transistor, single electron 12 105 Transition function, deterministic, Turing machine 4 Transition function, probabilistic, Turing machine 190 Transition function, quantum, Turing machine 190 Transmission coefficient 41 Transmittance 41 Transversal field 21 Trapped ion 109 124 Trapped ion, computer 109 Trial divisions 34 Trichloroethylene 97 triplet state 62 131 Truth table 8 Tunneling, resonator 161 Turing machine 1 Turing machine, deterministic 4 Turing machine, deterministic, transition function 4 Turing machine, Goedel numbering of 6 Turing machine, probabilistic 190 Turing machine, probabilistic, transition function 190 Turing machine, quantum 190 Turing machine, quantum, transition function 190 Turing machine, universal 7 Turing-computable 5 Type-I down-conversion 130
Реклама
|
|
О проекте