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Quantum query complexity and distributed computing
Röhrig, H.P.
Publication date
2004
Link to publication
Citation for published version (APA):
Röhrig, H. P. (2004). Quantum query complexity and distributed computing. Institute for Logic,
Language and Computation.
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Abelson,, H., 95 Aharonov,, D., 121 AllOutputs,, 80 Ambainis,, A., 117, 126 amplitude,, 4 amplification,, 24, 27, 33, 38 ancilla,, 11 Aspect,, A., 89 axiom,, 2 balancedd function, 20 Beals,, R., 22, 58, 71, 73, 78 Belll inequality, 89, 93 Bell,, J. S., 16, 89 Bennett,, C. H., 71 Bernstein,, E., 22, 58-60, 71 binding,, 118 bitt commitment, 117 blackk box, 19 bra,, 3 bracket,, 3 Brassard,, G., 52, 62, 64, 71, 90, 95, 96 6 broadcast,, 119, 123 Buhrman,, H., iv, 22, 57, 58, 71, 73, 75,, 78, 89, 91, 95, 96, 105, 115,, 117 CCNOT,, 18 Chau,, H. F., 118 Chen,, X., 76 CHSHH inequality, 93 Church-Turingg thesis, 24 strong,, 19, 24 circuit,, 17 Boolean,, 17 quantum,, 17 Cirel'son,, B. S., 93 Clauser,, J. F., 90, 93 claw w finding,, 35 Cleve,, R., 22, 58, 71, 73, 78, 95, 96 click,, 101 coinn tossing strong,, 118 weak,, 118 communicationn complexity, 95, 106, 107 7 computability,, 24 concealing,, 118 convolutionn product, 36 correlation,, 15 problem,, 99 decoherence,, 41, 86 densityy matrix, 13, 41-45 reduced,, 14 detection n efficiency,, 101 loophole,, 94, 98 Deutsch,, D., 1, 20, 96
Deutsch-- Jozsa algorithm, 20-22 Diracc notation, 3
148 8 Index Index discretee log, 23 Dodis,, Y., 117 duall space, 3 dynamics,, 5 Einstein,, A., 12, 16, 89 ensemble,, 13 entanglement,, 4, 15 EPRR pair, 12, 93, 124 errorr probability, 102 evolution,, 5, 48 factoring,, 1, 23 faultt tolerance, 41 Feige,, U., 75, 118, 120, 128 Feynman,, R., 1 FindAUBad,, 80 Fortnow,, L., 57 Fourierr transform discrete,, 36 fast,, 37 quantum,, 23, 37 Frankl,, P., 98 Friedl,, K., 62, 73 function n balanced,, 20 total,, 22 gate,, 17 GHZ,, 89 Gisin,, B., 90, 95 Gisin,, N., 90, 95 Goldreich,, O., 57, 58 Goldwasser,, S., 57 Greenberger,, D. M., 89 Grover'ss algorithm, 23, 27, 30, 33, 41 Grover,, L. K., 23, 27, 30, 33, 41, 76 Hadamard d matrix,, 8 transformation,, 20, 33 Hamiltonian,, 6, 10, 48 Heisenberg,, W., 2 Holevoo bound, 98 Holt,, R. A., 90, 93 Home,, M. A., 89, 90, 93 Hromkovic,, J., 95 H0yer,, P., 48, 52, 62, 64, 73, 76, 79, 89 9 InitialGuess,, 80 innerr product modd 2, 22
inversionn about average, see reflection aboutt average Jozsa,, R., 20, 96 ket,, 3 Kitaev,, A. Yu., 119, 120, 128, 132 Kushilevitz,, E., 95 lhv,, 99 Lo,, H-K., 118 local,, 92, 99
locall hidden variable, 92 deterministicc model, 99 model,, 89, 99
modell with communication, 100 loophole e detection,, 94 Massar,, S., 89, 90, 95, 96, 101 Mayers,, D., 118 measurement,, 2, 7, 111 partial,, 10 projective,, 35 scenario,, 99 Mermin,, N. D., 105 Mosca,, M., 22, 48, 58, 71, 73, 78, 79 negativee input, 60 vonn Neumann, J., I l l Newman,, I., 57, 75 Nisan,, N., 95 nonlocal,, 92 normalization,, 4 observable,, 7, 10, 39 operator,, 5 oracle,, 19, 35 quantum,, 20
orthonormal,, 9, 14 Ozhigov,, Y., 27 Papadimitriou,, C. H., 17 particlee statistics, 16 Pearle,, P., 90 perturbation,, 83 phase,, 8 Pironio,, S.t 101 Podolsky,, B., 12, 16, 89 polynomial l approximating,, 58, 71-73 robust,, 83 positive,, 12 positivee input, 60
positivee operator valued measure, 12, 99 9 postulate,, 2 Preskill,, J., 39 promise,, 22 property y tester,, 58 testing,, 57 quantization,, 2 quantumm circuit, 17
quantumm error correction, 41 quantumm query, 20-21, 28 qubit,, 4 query y quantum,, 20 Rödl,, V., 98 Raz,, R., 115 rectangle,, 104
reflectionn about average, 28, 49 relativityy theory special,, 91 reversibility,, 7 RobustFind,, 79 robustness s polynomials,, 83 Ron,, D., 57 Rosen,, N., 12, 16, 89 RSA,, 23 Rubinfeld,, R., 57 Rudolph,, T., 119, 126 SampleBad,, 80 Schmidtt decomposition, 14 Schrödingerr equation, 6 Schrödinger,, E., 2 search h binary,, 23 quantum,, 23-24, 27 unordered,, 23, 27 self-adjoint,, 6 Shimony,, A., 90, 93 Shor,, P., 1, 23 Simon,, D., 22, 58, 62, 64 SimonSampler,, 65 SimonTester,, 65 Solovay,, R., 71 space-time,, 91 Spekkens,, R. W., 119, 126 state,, 2, 3 completelyy mixed, 13 mixed,, 13 pure,, 13
singlet,, see EPR pair statee space, 2 Steiner,, M., 90 Sudan,, M., 57 superluminal,, 92, 100 superposition,, 4 principle,, 5 uniform,, 28 superselectionn rules, 16 Szegedy,, M., 58, 73, 76 Tapp,, A., 52 tensorr product, 4 testable,, 59 timelike,, 91 Toffolii gate, 18 Toffoli,, T., 18 total-variationn distance, 102 trace,, 13 partial,, 14 trajectory,, 3 Turingg machine, 17, 19 quantum,, 17
150 0 Index Index uniform,, 19 universality,, 17, 19 Vazirani,, U., 22, 58-60, 71 Vitinyi,, P., iv Wigderson,, A., 95, 96 wire,, 17 dee Wolf, R., 22, 48, 58, 71, 73, 75, 78, 79 9 Yao,, A., 60, 63, 71, 95, 98 Zeilinger,, A., 89
