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Pavičić M. — Quantum Computation and Quantum Communication: Theory and Experiments
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?


Язык: en

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2006

Количество страниц: 221

Добавлена в каталог: 14.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
FTIR      161
Full adder      37
Gas, van der Waals      190
Gate, $\sqrt{NOT}$      23 29
Gate, $\sqrt{NOT}$, 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, $\sqrt{NOT}$ 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, $\sigma$      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
1 2 3 4
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