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Pavičić M. — Quantum Computation and Quantum Communication: Theory and Experiments
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Название: Quantum Computation and Quantum Communication: Theory and Experiments
Автор: 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?
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Рубрика: Физика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2006
Количество страниц: 221
Добавлена в каталог: 14.11.2009
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Предметный указатель
FTIR 161
Full adder 37
Gas, van der Waals 190
Gate, 23 29
Gate, , NMR 98
Gate, A 103
Gate, BCNOT 153
Gate, CNOT, all-optical 153
Gate, CNOT, bilateral 153
Gate, CNOT, classical reversible 15
Gate, CNOT, interaction-free 160
Gate, CNOT, ion trap 122
Gate, CNOT, Kane 107 108
Gate, CNOT, NMR 98
Gate, CNOT, quantum 55
Gate, CNOT, silicon-based spin 107 108
Gate, delay 38
Gate, Hadamard 32 175 177 186
Gate, Hadamard, ion trap 121
Gate, Hadamard, NMR 98
Gate, J 103 104
Gate, logic, classical 12
Gate, logic, quantum 29
Gate, logic, reversible 15
Gate, NOT, classical 11
Gate, NOT, ion trap 121
Gate, NOT, quantum 29
Gate, phase 32
Gate, quantum 17 23 29 108
Gate, reversible, classical CNOT 15
Gate, reversible, universal 15
Gate, S 107
Gate, Toffoli 16 54
Gate, universal, quantum 53
Gate, universal, reversible 15
GCD 180
General number field sieve algorithm 35 180
General recursiveness 5
Generator matrix 49
GNFS algorithm 35 180
Goedel, numbering of Turing machines 6
Goedel, numbers 6
Greatest common divisor 180
Green computing 15
Grover's algorithm 31 186
Gyromagnetic factor 46 90
Hadamard gate 32 175 177 186
Hadamard gate, error correction 77
Hadamard gate, ion trap 121
Hadamard gate, NMR 98
Half adder 37
Half-wave plate 22 149 166
Hamiltonian, harmonic oscillator 111
Hamiltonian, ion trap 116
Hamiltonian, Jaynes — Cummings 139
Hamiltonian, Kane computer 104
Hamiltonian, local 186
Hamiltonian, NMR 97 100
Hamming, code 73 76
Hamming, codeword 76
Hamming, distance 73
Hamming, rule 73
Hamming, scheme 73
harmonic oscillator 111
Harmonic oscillator, Hamiltonian 111
Heisenberg microscope 164
Hermitian, conjugate operator 26
Hermitian, operator 27
Hidden Variable Theory 167
Hilbert, lattices 195
Hilbert, space 26
Hilbert, space, composite 136
Hilbert, space, embedding 156
Hilbert, space, n-dimensional 167
Hilbert, space, polarization 156
HWP 22 166
Hyper-entangled quantum state 156
Hyperfine interaction 100 103 147
Hyperthreading technology 136
ID Quantique 125
Idler Photon 129
Information theory, quantum 61
Intel 135
Interaction, picture 120
Interaction, strong 190
Interaction, weak 190
Interaction-free, CNOT gate 160
Interaction-free, experiment 160
Interaction-free, quantum, circuit 166
Interaction-free, resonance detection 163
Interferometer, Mach — Zehnder 29 34 81 132
Internet 35 65
Interval analysis 171
Inverted population 138 140
Ion trap 88 109
Ion trap, computer 121
Ion trap, computer, scalable 122
Ion trap, fictitious magnetic dipole 117
Ion trap, fictitious magnetic field 117
Ion trap, Hamiltonian 116
Ion trap, laser beam 113
Irrotational field 21
Isomorphism-free generation of MMP diagrams 169
J-coupling 98
J-gate 103 104
Jaynes — Cummings, Hamiltonian 139
Jaynes — Cummings, model 116
Join, lattice 192
Jones vectors 19 21
Kane, CNOT gate 107
Kane, computer 103 106
Kane, computer, bit train 107
Kane, computer, Hamiltonian 104
Kane, computer, radio frequency magnetic field 103
Kane, computer, spin subspace 106
Kane, magnetic field, external 101
Karnaugh map 17
Ket vector 20 24
Key, distribution 81
Key, RSA 35
Key, sifted 71
Kochen — Specker algorithm 168
Kochen — Specker algorithm, statistical exponential speedup 171
Kochen — Specker set 168
Kochen — Specker setup 167
Kochen — Specker Theorem 167
Kochen — Specker vectors 168
KS, algorithms 168
KS, set 168
KS, setup 167
KS, vectors 168
Lamb — Dicke, limit 119
Lamb — Dicke, parameter 119
Lande factor 92
Larmor frequency 93
Larmor frequency, resonance 103
Laser 138
Laser, beam, atom interaction 113
Laser, beam, ion trap 113
Laser, beam-electron-phonon interaction 116
Laser, beam-ion interaction 116
Laser, coherence length 33
Laser, coherence time 33
Laser, continuous wave 33
Laser, cooling 111 119
Laser, diode 126
Laser, diode, phase-coding 81
Laser, Doppler cooling 111
Laser, one-atom 139
Laser, pulse, quantum cryptography 126
Laser, pump beam, down-conversion 130
Laser, pumping 63
Lattice 96 192
Lattice, atom 195
Lattice, completeness 195
Lattice, distributive 193
Lattice, equations 197
Lattice, Hilbert 195
Lattice, join 192
Lattice, meet 192
Lattice, modular 193
Lattice, operation 192
Lattice, orthocomplementation 193
Lattice, orthomodular 193
Lattice, superposition 195
Lattice, superposition, principle 195
Least significant bit 37
Left-hand circular polarization 21
Linear ion trap 110
Linear optical elements 31 156
Linear subspace 27
Linearization of wave equation 46
Linewidth 33
Local Hamiltonian 186
Logic, classical 194
Logic, classical, completeness 194
Logic, classical, soundness 194
Logic, gate, classical 12
Logic, gate, quantum 23 29
Logic, gate, reversible 15
Logic, propositional 7
Logic, quantum 15 61
Logic, quantum, completeness 194
Logic, quantum, proper 194
Logic, quantum, soundness 194
Logic, reversible 15
Longitudinal field 21
LSB 37
Mach — Zehnder interferometer 29 34 36 81 132
MagiQ Technologies 125
Magnetic dipole moment 89
Magnetic fictitious dipole, ion trap 117
Magnetic fictitious field ion trap 117
Magnetic field, Kane, external 101
Magnetic field, radio frequency, Kane 103
Magnetic field, radio frequency, NMR 96
Magnetic field, Zeeman, external 88 90
Magnetic field, Zeeman, inner 91
Magnetic moment, electron 100
Magnetic moment, nuclear 100
magnetic quantum number 89
Magneto-optical trap 163
Malus law 19 131
Matrix, check 74
Matrix, density 47
Matrix, generation 74
MatrixExp 50 98
Measurement, quantum 27
Meet, lattice 192
Microchannel plate detector 164
Mixing angle, dark state 143
MMP diagram 168
MMP diagram, algorithm 168
MMP diagram, isomorphism-free generation 169
Modular, algebra 193
Modular, lattice 193
Modularity 193
MODULO 8 74 78 174 181
Momentum, electromagnetic 21
Momentum, space 189
Monolithic total-internal-reflection resonator 161
Moore's law xiv 135
MOSFET 9
MOSFET, NPN 9
MOSFET, PNP 9
Most significant bit 37
MOTIRR 161
MSB 37
Multicore technology 136
NAND, classical 8
Negative absorption 138
Neutral atom 124
NMOS 9
NMR 88 124 180
NMR, gate 98
NMR, computer 98 99
NMR, computer, radio frequency magnetic field 96
NMR, Hadamard gate 98
NMR, Hamiltonian 97 100
NMR, Shor's algorithm 98 180 183
No-cloning theorem 58
Nonlinear optics 128
NOR, classical 8
Normal algorithm 6
NOT, classical 8
NOT, gate, classical 11
NOT, gate, ion trap 121
NOT, gate, quantum 29
NPN MOSFET 9
Nuclear fusion 87
Nuclear magnetic moment 100
Nuclear magnetic resonance 88 124
Nuclear spin quantum number 94
Number, field sieve, general algorithm 35
Number, operator 111
Number, state, notation 117
One-atom laser 139
Operation, boolean 12
Operation, lattice 192
Operator 26
Operator, adjoint 26
Operator, annihilation 40 59
Operator, creation 40
Operator, density 28
Operator, Fermi 117
Operator, Hermitian conjugate 26
Operator, linear 26
Operator, projection 27
Operator, unitary 27 186
Optical cavity 138-140 163
Optical cavity, spherical mirror 140
Optical element, linear 31 156
Optical path difference 34
Optical resonator 138
OR, classical 8
Order 181
Ordinary ray 68
Ortho-isomorphism 196
Orthoautomorphism, unitary 196
Orthocomplementation 193
Ortholattice 192
Orthomodular, lattice 193
Orthomodular, poset, 193
Orthomodularity 193
Orthonormal basis, countable 26
Oxide, barrier 10
P-doped substrate 9
Parametric down-conversion 128
Parametric generation 128
Parity 72
Parity, bit 72
Path difference, optical 34
Paul trap 109
Pauli, matrices 46
Pauli, problem 156
Pauli, uniqueness 156
Penning trap 109
Phase, gate 32
Phase, retarder 22
Phase, Shift 18 76
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