Cliff Unkefer, and David Cory for their help. *Electronic address: knill@lanl.gov ? Electronic address: laflamme@lanl.gov ,
Ensemble quantum computing by NMR spectroscopy, Proceedings of the National Academy of Sciences, vol.275, issue.5278, p.1634, 1997. ,
DOI : 10.1126/science.273.5278.1073
The Usefulness of NMR Quantum Computing, Science, vol.277, issue.5332, p.1688, 1997. ,
DOI : 10.1126/science.277.5332.1688
Mixed-state entanglement and quantum error correction, Physical Review A, vol.54, issue.5, p.3824, 1996. ,
DOI : 10.1103/PhysRevA.54.3824
Perfect Quantum Error Correcting Code, Physical Review Letters, vol.77, issue.1, p.198, 1996. ,
DOI : 10.1103/PhysRevLett.77.198
Class of quantum error-correcting codes saturating the quantum Hamming bound, Physical Review A, vol.54, issue.3, p.1862, 1996. ,
DOI : 10.1103/PhysRevA.54.1862
Quantum Error Correction and Orthogonal Geometry, Physical Review Letters, vol.78, issue.3, p.405, 1997. ,
DOI : 10.1103/PhysRevLett.78.405
URL : http://arxiv.org/abs/quant-ph/9605005
Sending entanglement through noisy quantum channels, Physical Review A, vol.54, issue.4, p.2614, 1996. ,
DOI : 10.1103/PhysRevA.54.2614
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.123.8322
An algorithmic benchmark for quantum information processing, Nature, vol.404, issue.6776, p.368, 2000. ,
DOI : 10.1038/35006012
Experimental Quantum Error Correction, Physical Review Letters, vol.81, issue.10, p.2152, 1998. ,
DOI : 10.1103/PhysRevLett.81.2152
Experimental Implementation of Fast Quantum Searching, Physical Review Letters, vol.80, issue.15, p.3408, 1998. ,
DOI : 10.1103/PhysRevLett.80.3408
Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer, Physical Review Letters, vol.85, issue.25, p.5452, 2000. ,
DOI : 10.1103/PhysRevLett.85.5452
Experimental realization of a two-bit phase damping quantum code, Physical Review A, vol.60, issue.3, p.1924, 1999. ,
DOI : 10.1103/PhysRevA.60.1924
A Search for Interstellar HFormula, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.303, issue.1480, pp.543-549, 1981. ,
DOI : 10.1098/rsta.1981.0223
H3(+) fundamental band in Jupiter's auroral zones at high resolution from 2400 to 2900 inverse centimeters, The Astrophysical Journal, vol.363, pp.37-41, 1990. ,
DOI : 10.1086/185859
Detection of H3+ on Jupiter, Nature, vol.340, issue.6234, pp.539-541, 1989. ,
DOI : 10.1038/340539a0
Detection of Extended Thermal Infrared Emission around the Vega-like Source HD 141569, The Astrophysical Journal, vol.532, issue.2, pp.141-144, 2000. ,
DOI : 10.1086/312575
The Circumstellar Disk of HD 141569 Imaged with NICMOS, The Astrophysical Journal, vol.525, issue.1, pp.53-56, 1999. ,
DOI : 10.1086/312334
Inhibition of giant-planet formation by rapid gas depletion around young stars, Nature, vol.373, issue.6514, pp.494-496, 1995. ,
DOI : 10.1038/373494a0
An ultraviolet, optical and infrared study of Herbig Ae/Be stars, Astron. Astrophys, vol.331, pp.211-223, 1998. ,
Stellar Companions and the Age of HD 141569 and Its Circumstellar Disk, The Astrophysical Journal, vol.544, issue.2, pp.937-943, 2000. ,
DOI : 10.1086/317243
and CO Emission from Disks around T Tauri and Herbig Ae Pre???Main???Sequence Stars and from Debris Disks around Young Stars: Warm and Cold Circumstellar Gas, The Astrophysical Journal, vol.561, issue.2, pp.1074-1094, 2001. ,
DOI : 10.1086/323361
The dynamical evolution of the protosolar nebula, The Astrophysical Journal, vol.375, pp.740-760, 1991. ,
DOI : 10.1086/170239
Planet Formation, Annual Review of Astronomy and Astrophysics, vol.31, issue.1, pp.129-174, 1993. ,
DOI : 10.1146/annurev.aa.31.090193.001021
Infrared emission of H 3 þ in the atmosphere of Jupiter in the 2 ,
Observations of the 4 micron fundamental band of H3(+) in Jupiter, The Astrophysical Journal, vol.351, pp.53-56, 1990. ,
DOI : 10.1086/185678
H3+ in dense and diffuse clouds, Faraday Discussions, vol.109, pp.267-280, 1998. ,
DOI : 10.1039/a800655e
Planetary Systems in the Universe, pp.202-205, 2000. ,
Formation of extrasolar giant planets: core accretion or disk instability?, Earth, Moon, and Planets, vol.81, issue.1, pp.19-26, 1998. ,
DOI : 10.1023/A:1006370021545
Direct integration transmittance model, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.14, issue.8, pp.803-817, 1974. ,
DOI : 10.1016/0022-4073(74)90124-1
The HITRAN molecular database: Editions of 1991 and 1992, Journal of Quantitative Spectroscopy and Radiative Transfer, vol.48, issue.5-6, pp.469-507, 1992. ,
DOI : 10.1016/0022-4073(92)90115-K
High-resolution spectroscopy of Vega-like stars -- I. Effective temperatures, gravities and photospheric abundances, Monthly Notices of the Royal Astronomical Society, vol.286, issue.3, pp.604-616, 1997. ,
DOI : 10.1093/mnras/286.3.604
Radial velocities in selected B-G stars, The Astrophysical Journal Supplement Series, vol.65, pp.313-317, 1987. ,
DOI : 10.1086/191227
Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuum, Physical Review Letters, vol.70, issue.9, pp.1244-1247, 1993. ,
DOI : 10.1103/PhysRevLett.70.1244
Quantum measurements and the Abelian stabilizer problem, 1995. ,
Universal Quantum Simulators, Science, vol.273, issue.5278, pp.1073-1078, 1996. ,
DOI : 10.1126/science.273.5278.1073
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer, SIAM Journal on Computing, vol.26, issue.5, pp.1484-1509, 1997. ,
DOI : 10.1137/S0097539795293172
Quantum algorithms revisited, Proc. R. Soc. Lond. A 454, pp.339-354, 1998. ,
DOI : 10.1098/rspa.1998.0164
URL : http://arxiv.org/abs/quant-ph/9708016
Elementary gates for quantum computation, Physical Review A, vol.52, issue.5, pp.3457-3467, 1995. ,
DOI : 10.1103/PhysRevA.52.3457
Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, pp.467-488, 1962. ,
DOI : 10.1007/BF02650179
Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors, Physical Review Letters, vol.83, issue.24, pp.5162-5165, 1999. ,
DOI : 10.1103/PhysRevLett.83.5162
Power of One Bit of Quantum Information, Physical Review Letters, vol.81, issue.25, pp.5672-5675, 1999. ,
DOI : 10.1103/PhysRevLett.81.5672
Distribution functions in physics: Fundamentals, Physics Reports, vol.106, issue.3, pp.121-167, 1984. ,
DOI : 10.1016/0370-1573(84)90160-1
A Wigner-function formulation of finite-state quantum mechanics, Annals of Physics, vol.176, issue.1, pp.1-21, 1987. ,
DOI : 10.1016/0003-4916(87)90176-X
Discrete Wigner function and quantum-state tomography, Physical Review A, vol.53, issue.5, pp.2998-3013, 1996. ,
DOI : 10.1103/PhysRevA.53.2998
Quantum computers in phase space A (in the press); preprint quant-ph, Phys. Rev, 2002. ,
Factoring in a dissipative quantum computer, Physical Review A, vol.54, issue.4, pp.2605-2613, 1996. ,
DOI : 10.1103/PhysRevA.54.2605
Sub-Planck structure in phase space and its relevance for quantum decoherence, Nature, vol.95, issue.6848, pp.712-717, 2001. ,
DOI : 10.1038/35089017
Experimental Quantum Error Correction, Physical Review Letters, vol.81, issue.10, pp.2152-2155, 1998. ,
DOI : 10.1103/PhysRevLett.81.2152
Effective pure states for bulk quantum computation, Physical Review A, vol.57, issue.5, pp.3348-3363, 1998. ,
DOI : 10.1103/PhysRevA.57.3348
Method for Direct Measurement of the Wigner Function in Cavity QED and Ion Traps, Physical Review Letters, vol.78, issue.13, pp.2547-2550, 1997. ,
DOI : 10.1103/PhysRevLett.78.2547
Quantum State Reconstruction of the Single-Photon Fock State, Physical Review Letters, vol.87, issue.5, pp.402-405, 2001. ,
DOI : 10.1103/PhysRevLett.87.050402
Measurement of a negative value for the Wigner function of radiation, Physical Review A, vol.62, issue.5, pp.4101-4104, 2000. ,
DOI : 10.1103/PhysRevA.62.054101
Significance of Electromagnetic Potentials in the Quantum Theory, Physical Review, vol.115, issue.3, 1959. ,
DOI : 10.1103/PhysRev.115.485
Generalized Jordan-Wigner Transformations, Physical Review Letters, vol.86, issue.6, p.1082, 2001. ,
DOI : 10.1103/PhysRevLett.86.1082
URL : http://arxiv.org/abs/cond-mat/0008374
Logical Reversibility of Computation, IBM Journal of Research and Development, vol.17, issue.6, pp.525-557, 1973. ,
DOI : 10.1147/rd.176.0525
NMR implementation of a building block for scalable quantum computation, Chemical Physics Letters, vol.338, issue.4-6, pp.337-344, 2001. ,
DOI : 10.1016/S0009-2614(01)00280-9
Quantum algorithms revisited, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.454, issue.1969, p.339, 1998. ,
DOI : 10.1098/rspa.1998.0164
URL : http://arxiv.org/abs/quant-ph/9708016
Ensemble quantum computing by NMR spectroscopy, Proc. Nat. Acad. Sci. USA, pp.1634-1639, 1997. ,
DOI : 10.1126/science.273.5278.1073
NMR Based Quantum Information Processing: Achievements and Prospects, Fortschritte der Physik, vol.48, issue.9-11, pp.875-907, 2000. ,
DOI : 10.1002/1521-3978(200009)48:9/11<875::AID-PROP875>3.0.CO;2-V
URL : http://arxiv.org/abs/quant-ph/0004104
Experimental Quantum Error Correction, Physical Review Letters, vol.81, issue.10, pp.2152-2155, 1998. ,
DOI : 10.1103/PhysRevLett.81.2152
Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing, Physica D: Nonlinear Phenomena, vol.120, issue.1-2, pp.82-101, 1998. ,
DOI : 10.1016/S0167-2789(98)00046-3
Quantum theory, the Church-Turing principle and the universal quqntum computer, Proc.R.Soc.Lond.A, pp.97-117, 1985. ,
Two-bit gates are universal for quantum computation, Physical Review A, vol.51, issue.2, pp.1015-1022, 1995. ,
DOI : 10.1103/PhysRevA.51.1015
The Physical Implementation of Quantum Computation, Fortschritte der Physik, vol.48, issue.9-11, pp.771-783, 2000. ,
DOI : 10.1002/1521-3978(200009)48:9/11<771::AID-PROP771>3.0.CO;2-E
Simulating physics with computers, International Journal of Theoretical Physics, vol.21, issue.6-7, p.467, 1982. ,
DOI : 10.1007/BF02650179
Design of strongly modulating pulses to implement precise effective Hamiltonians for quantum information processing, The Journal of Chemical Physics, vol.116, issue.17, pp.7599-7606, 2002. ,
DOI : 10.1063/1.1465412
Spin choreography. Spektrum, 1997. ,
Bulk Spin-Resonance Quantum Computation, Science, vol.58, issue.1907, pp.350-356, 1997. ,
DOI : 10.1098/rspa.1992.0167
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.28.8877
Theory of fault-tolerant quantum computation, Physical Review A, vol.57, issue.1, pp.127-137, 1998. ,
DOI : 10.1103/PhysRevA.57.127
Efficient Refocusing of One-Spin and Two-Spin Interactions for NMR Quantum Computation, Journal of Magnetic Resonance, vol.141, issue.2, pp.322-325, 1999. ,
DOI : 10.1006/jmre.1999.1890
Effective pure states for bulk quantum computation, Physical Review A, vol.57, issue.5, pp.3348-3363, 1998. ,
DOI : 10.1103/PhysRevA.57.3348
URL : http://arxiv.org/abs/quant-ph/9706053
Benchmarking Quantum Computers: The Five-Qubit Error Correcting Code, Physical Review Letters, vol.86, issue.25, pp.5811-5814, 2001. ,
DOI : 10.1103/PhysRevLett.86.5811
An algorithmic benchmark for quantum information processing, Nature, vol.404, issue.6776, pp.368-370, 2000. ,
DOI : 10.1038/35006012
Resilient Quantum Computation, Science, vol.279, issue.5349, pp.342-345, 1998. ,
DOI : 10.1126/science.279.5349.342
Power of One Bit of Quantum Information, Physical Review Letters, vol.81, issue.25, pp.5672-5675, 1998. ,
DOI : 10.1103/PhysRevLett.81.5672
Perfect Quantum Error Correcting Code, Physical Review Letters, vol.77, issue.1, p.198, 1996. ,
DOI : 10.1103/PhysRevLett.77.198
NMR quantum information processing and entanglement, Quantum Information and Computation, pp.166-176, 2002. ,
Universal Quantum Simulators, Science, vol.273, issue.5278, pp.1073-1078, 1996. ,
DOI : 10.1126/science.273.5278.1073
Quantum dynamics of two coupled qubits, Physical Review A, vol.65, issue.3, 2002. ,
DOI : 10.1103/PhysRevA.65.032316
Interpretation of tomography and spectroscopy as dual forms of quantum computation, Nature, vol.176, issue.6893, pp.59-62, 2002. ,
DOI : 10.1103/PHYSREVA.62.054101
Demonstration of a Fundamental Quantum Logic Gate, Physical Review Letters, vol.75, issue.25, p.4714, 1995. ,
DOI : 10.1103/PhysRevLett.75.4714
Anyonic quantum simulations. en préparation ,
Complete quantum teleportation, Nature, vol.396, issue.6706, pp.52-55, 1998. ,
DOI : 10.1038/23891
Quantum algorithms for fermionic simulations, Physical Review A, vol.64, issue.2, 2001. ,
DOI : 10.1103/PhysRevA.64.022319
Step-by-Step Engineered Multiparticle Entanglement, Science, vol.288, issue.5473, pp.2024-2028, 2000. ,
DOI : 10.1126/science.288.5473.2024
Experimental entanglement of four particules, Nature, vol.404, pp.256-258, 2000. ,
Scalable NMR quantum computation, Proc. 31 st ACM Symp. on Theory of Computing, pp.322-329, 1998. ,
Algorithms for quantum computation: discrete logarithms and factoring, Proceedings 35th Annual Symposium on Foundations of Computer Science, pp.116-123, 1994. ,
DOI : 10.1109/SFCS.1994.365700
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.3862
Scheme for reducing decoherence in quantum computer memory, Physical Review A, vol.52, issue.4, p.2493, 1995. ,
DOI : 10.1103/PhysRevA.52.R2493
Scheme for reducing decoherence in quantum computer memory, Physical Review A, vol.52, issue.4, p.2493, 1995. ,
DOI : 10.1103/PhysRevA.52.R2493
Quantum Simulations on a Quantum Computer, Physical Review Letters, vol.82, issue.26, pp.5381-5384, 1999. ,
DOI : 10.1103/PhysRevLett.82.5381
Simulating physical phenomena by quantum networks, Physical Review A, vol.65, issue.4, pp.1-17, 2002. ,
DOI : 10.1103/PhysRevA.65.042323
Product operator formalism for the description of NMR pulse experiments, Progess in NMR spectroscopy, pp.163-192, 1983. ,
DOI : 10.1016/0079-6565(84)80005-9
Error Correcting Codes in Quantum Theory, Physical Review Letters, vol.77, issue.5, p.793, 1996. ,
DOI : 10.1103/PhysRevLett.77.793
Introduction to quantum error correction. phil, Trans. R. Lond. A, vol.356, pp.1739-1758, 1998. ,
Measurement of Conditional Phase Shifts for Quantum Logic, Physical Review Letters, vol.75, issue.25, p.4710, 1995. ,
DOI : 10.1103/PhysRevLett.75.4710
Quantum simulation of a three-body-interaction Hamiltonian on an NMR quantum computer, Physical Review A, vol.61, issue.1, pp.1-6, 2000. ,
DOI : 10.1103/PhysRevA.61.012302
On computable numbers, with an application to the entscheidungsproblem, Proc. Lond, p.230, 1936. ,
Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance, Nature, vol.61, issue.3, pp.883-887, 2001. ,
DOI : 10.1038/414883a
Experimental Realization of Noiseless Subsystems for Quantum Information Processing, Science, vol.293, issue.5537, pp.2059-2063, 2001. ,
DOI : 10.1126/science.1064460
Constructing qubits in physical systems, Journal of Physics A: Mathematical and General, vol.34, issue.35, pp.7067-7080, 2001. ,
DOI : 10.1088/0305-4470/34/35/331
Environment-induced superselection rules, Physical Review D, vol.26, issue.8, pp.1862-1880, 1982. ,
DOI : 10.1103/PhysRevD.26.1862
Decoherence and the Transition from Quantum to Classical, Physics Today, vol.44, issue.10, pp.36-44, 1991. ,
DOI : 10.1063/1.881293