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Berman G.P., Doolen G.D., Mainieri R. — Intnoduction to Quantum Computers
Berman G.P., Doolen G.D., Mainieri R. — Intnoduction to Quantum Computers



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Название: Intnoduction to Quantum Computers

Авторы: Berman G.P., Doolen G.D., Mainieri R.

Аннотация:

Quantum computing promises to solve problems which are intractable on digital computers. Highly parallel quantum algorithms can decrease the computational time for some problems by many orders of magnitude. This important book explains how quantum computaters can do these amazing things. Several algorithms are illustrated: the discrete Fourier transform, Shor's algorithm for prime factorization; algorithms for quantum logic gates; physical implementations of quantum logic gates in ion traps and in spin chains; the simplest schemes for quantum error correction; correction of errors caused by imperfect resonant pulses; correction of errors caused by the nonresonant actions of a pulse; and numerical simulations of dynamical behavior of the quantum Control-Not gate. An overview of some basic elements of computer science are discussed, including the Turing machine, Boolean algebra, and logic gates. The required quantum ideas are explain.


Язык: en

Рубрика: Технология/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1999

Количество страниц: 187

Добавлена в каталог: 15.11.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Antinode      102
Auxiliary level      80
Average spin      77
Binary system      13
Bit      2
Boolean addition      39
Boolean algebra      7 14
Cavity, high-Q      139
Cavity, QED      138
Commutator      131
Complex amplitude      27
Computer chip      1
Constructive interference      3 28
Control qubit      64
Coulomb blockade      1
Cryptography      4
Decoherence      5 91
Degenerate state      109
Destructive interference      3
Digital computation      2
Dipole moment      141
Dirac notation      62
Discrete Fourier Transform      6 25 118
Effective field      123 131
Efficient algorithm      21
Ensemble of atoms      92
Ensemble of spins      98
Entangled states      5
Error correction      6 143
Factorization algorithms      4 102
Frequency of one-spin transition      165
Frequency, difference      162
Frequency, eigenfrequency      122
Frequency, hyperfine frequency      137
Frequency, Rabi frequency      74 102
Frequency, radio frequency      127
Frequency, resonant frequency      140
Frequency, vibrational frequency      110
Gate, and      39
Gate, CCN      67
Gate, Cirac — Zoller      109
Gate, CONTROL-CONTROL-NOT      4 52
Gate, CONTROL-EXCHANGE      56
Gate, CONTROL-NOT      4 51
Gate, CZ      111
Gate, EXCLUSIVE-OR (XOR)      39
Gate, FREDKIN      56
Gate, nand      48
Gate, nor      48 51
Gate, NOT      38
Gate, or      39
Gate, quantum phase      140
GC-sequence      174
gyromagnetic ratio      69 131
Hamiltonian      73 111 120 168
Hermitian matrix      59
Heteropolymer      126
Hyperfine levels      136
Interaction, constant      162
Interaction, dipole-dipole interaction      120
Interaction, Ising      120 164
Inverse transformation      63
Ion trap      116
Lamb — Dicke limit      101
laser beam      101 112
Matrix, density      92 98 162
Matrix, deviation      165
Matrix, diagonal      168
Matrix, elements      59
Matrix, equilibrium density      162
Matrix, representation      70
Matrix, unitary      86 102
Memory cells      1
Metastable state      102
Molecular devices      1
MOSFET      46
Nanometer      1
nanotechnology      1
Operator, $A_{j}$ operator      78
Operator, $B_{jk}$ operator      83
Operator, annihilation operator      67
Operator, CN operator      64
Operator, creation operator      67
Operator, F-gate operator      67
Operator, Hubbard operator      61
Operator, N-operator      76
Operator, one-qubit operator      32
Operator, two-qubit operator      32
Optical transition      101 109
Paul trap      101
Periodic function      22
Phase shift      139
Polarization      109 110 113
Population      162
Precession of average spin      73
Precession, frequency      73
Probabilistic computation      21
Pulse, $2\pi$-pulse      100 116
Pulse, $n\pi$-pulse      100
Pulse, $\pi$-pulse      76 124
Pulse, $\pi/2$-pulse      110
Pulse, Raman $\pi$-pulse      138
Pulse, rectangular laser pulse      102
Pulse, sequence of $\pi$-pulses      124
Quantum cavity electrodynamics      138
Quantum, "pure" system      90
Quantum, bit      2
Quantum, coherence      5
Quantum, computation      2
Quantum, computer      2
Quantum, dot      1 141
Quantum, logic gates      6
Quantum, quantum-mechanical averages      70
Quantum, superposition      99
Radiative lifetime      102
Ramsey atomic interferometry      139
Redundancy      143
register      22
Relaxation process      6
Resonant, external resonant field      75
Resonant, field      74
Resonant, magnetic field      75
Resonant, transition      4 163
Reversible computation      4
Rotating, magnetic field      79
Rotating, reference frame      79
Schroedinger equation      69
Shor's algorithm      4 147
Single-electron devices      1
Spin, chain      6 125
Spin, four-spin molecules      6
Spin, non-resonant spin      134
Spin, nuclear spin      129
Stationary states      168
Steane's scheme      148
String of bits      20
Sub-ensemble      164
Superposition of numbers      23
Superpositional states      2
System of circuits      16
Target qubit      64
Temperature, finite temperature      92
Temperature, infinite temperature      96
Temperature, room temperature      164
Thermal bath      91
transistor      1 19
Triplet      143
Turing machine      7
Two-level atom      91
Uniform superposition      22
Unitary transformation      113
Vector-diagram      25
Vibrational motion      102
Vibrational state      136
Wave function      25
Zeeman levels      137
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