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. 97
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cloning machine (QCM), 611
rephasing time, 386
computer
reservoir, 422
one-way, 638
resolution of the identity, 683
reversible, 631
resonance
dense coding, 621
e¬ciency, 159, 276 condition, 354
¬‚uorescence, 457
electrodynamics, 113
resonant
fuzzball, 474
enhancement, 392
gate, 631
Hamiltonian, 352
jump, 557
wave approximation, 354
key distribution, 617
retarder plate, 238
Langevin equation, 422
half-wave plate, 641
Liouville equation, 51
phase shifter, 238
nondemolition
quarter-wave plate, 641
counter, 267
wave plate, 640
measurement, 419
optics, 1 revival of a cavity state, 386
robust, 482, 552
parallelism, 631
root mean square (rms) deviation, 51
register, 631
rotating wave approximation, 354
regression, 454
Rydberg
state
atom, 141, 267, 387
di¬usion, 575
level, 141, 267
reconstruction, see tomography
trajectory, 573
quarter-wave plate, see retarder plate S-polarization, 239, 292
sample, 420, 538
quasiclassical, 148
quasimonochromatic, 88 saturation, 157
quasiprobability density, 173 intensity, 460
qubit, 607 scalability (for quantum computing), 634
control/target, 633 scans (in tomography), 529
qudit, 607 scattered
annihilation operator, 242
classical ¬eld, 237
Rabi
scattering
frequency, 134
operator, 135, 268 channels, 237
oscillations (¬‚opping), 373, 381 matrix, 238, 242
Schmidt
radiation
gauge, 22, 116, 661 decomposition, 198
½
Index

function, 5, 273
rank, 199
width, 663
Schottky diodes, 266
spectrometers, 275
Schr¨dinger
o
spin-up/spin-down state, 201, 351
equation, 684
spontaneous
picture, 40
down-conversion (SDC), 400
second-harmonic generator, 534
emission, 16, 443
second-order perturbation theory, 129
subspace, 360
self-action, 392
spot size, 227, 515
self-adjoint
square integrability, 681
matrix, 650
square-law detection, 265
operator, 648
squeezed
self-focussing, 417
along quadrature X, 474
self-phase modulation, 417
coherent state, 478
semiclassical
multimode state, 478
approximation, 111
electrodynamics, 4, 111 states, 470
vacuum, 470
Hamiltonian, 370
squeezing
limit, 369
generator, 476
sensitivity function, 270
of an intra-cavity ¬eld, 488
separable
of emitted light, 490
boson state, 209
Hilbert space, 170, 647, 681 operator, 475
parameter, 475
mixed state, 204
transformation, 475
pure state, 202
standard quantum limit, 151, 279
two-photon state, 211
states in quantum theory
shelving state, 559
mixed state, 49
sifted key, 618
pure state, 49, 683
signal and idler ¬elds, 316, 402
stationary density operator, 121
signal reservoir, 422
statistical separability, 582
signal-to-noise ratio, 526
step function, 656
single-microwave-photon counter, 267
sti¬ di¬erential equations, 572
single-photon
stimulated emission, 16
counter, 266
Stokes parameters, 57
counting rate, 271
stop, 260
detection, 268
interference, see interference strictly monochromatic, 88
strong-separability condition, 587
on demand, 496
sub- and super-Poissonian statistics, 280
Rabi frequency, 136
sum-frequency generation, 399
velocity in a dielectric, 324
summation convention, 645
singlet state, 201
super operator, 544
singlet-like state, 252
superposition
SIS (superconducting“insulator“
principle, 114, 680
superconducting) devices,
state, 49
266
susceptibility
slow axis, 640
linear, 88, 94, 672
slowly-varying envelope
nonlinear, 392
approximation, 89
symmetric group, 206
¬elds, 89
operator, 223, 430 symmetrical
ordering, 48
space-like separation, 578
product, 686
span of a set of vectors, 44, 646
symmetry transformation, 119
spatial
dispersion, 88, 672
¬ltering, 260 TE-polarization, 239
inversion, 118, 667 technical noise, 300, 499
separability, 578 teleportation gate, 637
translation, 112, 174 temporal width, 274
speckle pattern, 158 tensor product
spectral for quantum electrodynamics, 116
density, 274 of general Hilbert spaces, 196
½ Index

operator, 649
of operators, 197
test function, see good function universal cloning machine, 609
unperturbed Hamiltonian, 124
thermal
unpolarized light, 55
distribution in number, 59
unused port, 248, 255
state, 177
up-conversion, 399
third-harmonic generation, 412
Thompson scattering, 11
three-wave mixing, 392 vacuum
time ¬‚uctuation, 45, 253
reversal, 118, 667 ¬eld strength, 61
translation, 123, 225, 684 Rabi ¬‚opping, 385
state, 43, 45
TM-polarization, 239
variance, 51, 150
tomography
classical, 529 normal-ordered, 474
optical homodyne, 532 vector
quantum, 529 norm, 647
quantum-state, 533 space, 645
velocity operator, 117, 694
total number operator, 46
trace Verdet constant, 256
of a matrix, 650 von Neumann
of an operator, 173, 683 entropy, 55
projection postulate, 52, 193, 684
partial, 198
trajectory
classical, 39, 103 wave
quantum, 573 coordinates, 513
transit broadening, 458 packet, 46, 74, 104, 168
transition operator, 104
probability, 127 quantization, 103
rate, 128, 130, 140 plate, see retarder plate
transpose matrix, 650 weakly dispersive medium, 91
transversality condition, 663 weakly nonlinear media, 392
transverse Weisskopf“Wigner method, 360
delta function, 36 Weyl product, 175, 686
relaxation time, 377 which-path information, 308, 325
vector ¬eld, 35 white noise, 434
trapping state, 497 white-light fringe, 314, 346
traveling-wave ampli¬er, 502 Wien™s law, 18
trombone prism, 324 Wigner
tunneling time, 337 distribution and characteristic function,
two-channel device, 248 173
two-level atoms, 351 theorem, 119
two-photon
work function, 10
coherent state, 472, 478
world, 422
interference, 315
density operator, 425
Hamiltonian, 423
uncertainty relation
canonical, 690
X gate, 632
generalized, 690
uncorrelated quantum ¬‚uctuations, 203
Y-junction, 254
undepleted pump approximation, 402
uniaxial crystal, 677
Z gate, 633
unitary
matrix, 650 zero-point energy, 45

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. 97
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