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Journal articlePlenio MB, Knight PL, 1997,
Decoherence limits to quantum computation using trapped ions
, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol: 453, Pages: 2017-2041, ISSN: 1364-5021We investigate the problem of factorization of large numbers on a quantum computer which we imagine to be realized within a linear ion trap. We derive upper bounds on the size of the numbers that can be factorized on such a quantum computer. These upper bounds are independent of the power of the applied laser. We investigate two possible ways to implement qubits, in metastable optical transitions and in Zeeman sublevels of a stable ground state, and show that in both cases the numbers that can be factorized are not large enough to be of practical interest. We also investigate the effect of quantum error correction on our estimates and show that in realistic systems the impact of quantum error correction is much smaller than expected. Again no number of practical interest can be factorized.
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Journal articlePaspalakis E, Protopapas M, Knight PL, 1997,
Population transfer through the continuum with temporally delayed chirped laser pulses
, OPTICS COMMUNICATIONS, Vol: 142, Pages: 34-40, ISSN: 0030-4018- Author Web Link
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- Citations: 38
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Journal articleGerry CC, Knight PL, 1997,
Quantum superpositions and Schrodinger cat states in quantum optics
, AMERICAN JOURNAL OF PHYSICS, Vol: 65, Pages: 964-974, ISSN: 0002-9505- Author Web Link
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- Citations: 128
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Journal articleGauthey FI, Garraway BM, Knight PL, 1997,
High harmonic generation and periodic level crossings
, PHYSICAL REVIEW A, Vol: 56, Pages: 3093-3096, ISSN: 2469-9926- Cite
- Citations: 72
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Journal articleBuzek V, Drobny G, Kim MS, et al., 1997,
Cavity QED with cold trapped ions
, PHYSICAL REVIEW A, Vol: 56, Pages: 2352-2360, ISSN: 2469-9926- Cite
- Citations: 91
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Journal articleDitmire T, Tisch JWG, Gumbrell ET, et al., 1997,
Spatial coherence of short wavelength high-order harmonics
, APPLIED PHYSICS B-LASERS AND OPTICS, Vol: 65, Pages: 313-328, ISSN: 0946-2171- Author Web Link
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- Citations: 26
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Journal articleRathe UW, Keitel CH, Protopapas M, et al., 1997,
Intense laser-atom dynamics with the two-dimensional Dirac equation
, JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, Vol: 30, Pages: L531-L539, ISSN: 0953-4075- Author Web Link
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- Citations: 92
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Conference paperBowyer SM, Miley HS, Thompson RC, et al., 1997,
Automated particulate sampler for comprehensive test ban treaty verification (the DOE radionuclide aerosol sampler/analyzer)
, 1996 Nuclear Science Symposium and Medical Imaging Conference, Publisher: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC, Pages: 551-556, ISSN: 0018-9499 -
Journal articlePlenio MB, Vedral V, Knight PL, 1997,
Conditional generation of error syndromes in fault-tolerant error correction
, PHYSICAL REVIEW A, Vol: 55, Pages: 4593-4596, ISSN: 2469-9926- Cite
- Citations: 14
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Journal articleOliver KW, Rettig SJ, Thompson RC, et al., 1997,
Crystal structure and magnetic behavior of copper(II) dimethylphosphinate: A chain polymer containing triangular trimetallic bis(mu-dimethylphosphinato)copper(II) units
, INORGANIC CHEMISTRY, Vol: 36, Pages: 2465-2468, ISSN: 0020-1669 -
Journal articleGuerra ES, Garraway BM, Knight PL, 1997,
Two-photon parametric pumping versus two-photon absorption: A quantum jump approach
, PHYSICAL REVIEW A, Vol: 55, Pages: 3842-3857, ISSN: 2469-9926- Author Web Link
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- Citations: 28
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Journal articleBuzek V, Vedral V, Plenio MB, et al., 1997,
Broadcasting of entanglement via local copying
, PHYSICAL REVIEW A, Vol: 55, Pages: 3327-3332, ISSN: 2469-9926- Cite
- Citations: 97
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Journal articleEdelson-Averbukh M, Mandelbaum A, 1997,
Chemistry and Stereochemistry of Benzyl-Benzyl Interactions in MH+ Ions of Dibenzyl Esters upon Chemical Ionization and Collision-induced Dissociation Conditions
, Journal of Mass Spectrometry, Vol: 32, Pages: 515-524, ISSN: 1076-5174 -
Journal articleGou SC, Steinbach J, Knight PL, 1997,
Generation of mesoscopic superpositions of two squeezed states of motion for a trapped ion
, PHYSICAL REVIEW A, Vol: 55, Pages: 3719-3723, ISSN: 2469-9926- Cite
- Citations: 59
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Journal articleDitmire T, Smith RA, Tisch JWG, et al., 1997,
High intensity laser absorption by gases of atomic clusters
, PHYSICAL REVIEW LETTERS, Vol: 78, Pages: 3121-3124, ISSN: 0031-9007- Author Web Link
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- Citations: 317
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Conference paperFrerichs GA, Richmond EW, Thompson RC, 1997,
Nonlinear chemical dynamics in the homogeneous system of iodate or bromate with sulfite-carbonate sulfuric acid in a CSTR.
, Publisher: AMER CHEMICAL SOC, Pages: 104-PHYS, ISSN: 0065-7727 -
Conference paperStack DR, Thompson RC, Nicas TI, et al., 1997,
Glycopeptide dimerization: Synthesis and structure activity relationship of covalent glycopeptide dimers.
, Publisher: AMER CHEMICAL SOC, Pages: 251-MEDI, ISSN: 0065-7727 -
Conference paperFrerichs GA, Thompson RC, 1997,
A pH-regulated chemical oscillator: The homogeneous system of hydrogen peroxide-sulfite-carbonate-sulfuric acid in a cstr.
, Publisher: AMER CHEMICAL SOC, Pages: 374-INOR, ISSN: 0065-7727 -
Journal articleDitmire T, Tisch JWG, Springate E, et al., 1997,
High energy ion explosion of atomic clusters: Transition from molecular to plasma behavior
, PHYSICAL REVIEW LETTERS, Vol: 78, Pages: 2732-2735, ISSN: 0031-9007- Author Web Link
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- Citations: 213
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Journal articleProtopapas M, Keitel CH, Knight PL, 1997,
Atomic physics with super-high intensity lasers
, REPORTS ON PROGRESS IN PHYSICS, Vol: 60, Pages: 389-+, ISSN: 0034-4885- Cite
- Citations: 797
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Journal articleHinds ED, Sauer B, 1997,
Electron dipole moments
, PHYSICS WORLD, Vol: 10, Pages: 37-40, ISSN: 0953-8585- Author Web Link
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- Citations: 13
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Journal articleVedral V, Plenio MB, Rippin MA, et al., 1997,
Quantifying entanglement
, PHYSICAL REVIEW LETTERS, Vol: 78, Pages: 2275-2279, ISSN: 0031-9007- Cite
- Citations: 1655
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Journal articleWatson JB, Sanpera A, Lappas DG, et al., 1997,
Nonsequential double ionization of helium
, PHYSICAL REVIEW LETTERS, Vol: 78, Pages: 1884-1887, ISSN: 0031-9007- Author Web Link
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- Citations: 208
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Journal articleDitmire T, Tisch JWG, Springate E, et al., 1997,
High-energy ions produced in explosions of superheated atomic clusters
, NATURE, Vol: 386, Pages: 54-56, ISSN: 0028-0836- Author Web Link
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- Citations: 617
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Journal articleBanaszek K, Knight PL, 1997,
Quantum interference in three-photon down-conversion
, PHYSICAL REVIEW A, Vol: 55, Pages: 2368-2375, ISSN: 2469-9926- Cite
- Citations: 72
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Journal articleWatson JB, Sanpera A, Burnett K, et al., 1997,
Wave-packet recollision and pulse-shape effects in high-harmonic generation
, PHYSICAL REVIEW A, Vol: 55, Pages: 1224-1233, ISSN: 2469-9926- Cite
- Citations: 32
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Journal articleHorvath GZK, Thompson RC, Knight PL, 1997,
Fundamental physics with trapped ions
, CONTEMPORARY PHYSICS, Vol: 38, Pages: 25-48, ISSN: 0010-7514- Author Web Link
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- Citations: 42
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Journal articlePlenio MB, Vedral V, Knight PL, 1997,
Quantum error correction in the presence of spontaneous emission
, PHYSICAL REVIEW A, Vol: 55, Pages: 67-71, ISSN: 2469-9926- Cite
- Citations: 76
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Journal articleGauthey FI, Keitel CH, Knight PL, et al., 1997,
Phase of harmonics from strongly driven two-level atoms
, PHYSICAL REVIEW A, Vol: 55, Pages: 615-621, ISSN: 2469-9926- Cite
- Citations: 36
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Conference paperBerces A, Enright GD, Morton JR, et al., 1997,
The electronic and magnetic properties of SSSNCCNSSS(M)<sub>2</sub> (M = AsF<sub>6</sub><SUP>-</SUP>SbF<sub>6</sub><SUP>-</SUP>, Sb<sub>2</sub>F<sub>11</sub><SUP>-</SUP>) and evidence for the isostructural monocation monoradical (CNSSS)<SUP>+•</SUP>
, 8th International Symposium on Inorganic Ring Systems (IRIS VIII), Publisher: TAYLOR & FRANCIS LTD, Pages: 331-338, ISSN: 1042-6507
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