NMR Experiment Factors Numbers with Gauss Sums
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We factor the number 157573 using an NMR implementation of Gauss sums. Although the current implementation is classical and scales exponentially, we believe that an extension to the quantum regime using entangled states is possible.
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Since current experimental estimates of the line width are of the order of 5 meV for B=10 T, observation of revivals of the electric current in graphene would require either stronger magnetic fields, which lead to lower T_R and line width, or the use of high quality graphene samples.
“Since current experimental estimates of the line width are of the order of 5 meV for B = 10 T, the observation of revivals of the electric current in graphene would require either stronger magnetic fields, which lead to lower T R and line width 27 , or the use of high quality graphene samples.”
From Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene (2009) · cites this paper as [27]
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Cites
Born, M., Wolf, E., Bhatia, A. B., Clemmow, P. C., Gabor, D., Stokes, A. R., Taylor, A. M., Wayman, P. A., & Wilcock, W. L. (1999) · Cambridge University Press eBooks · doi:10.1017/9781108769914 · Cited by 26,405 · see citing works
<i>Quantum Computation and Quantum Information</i>
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895 · see citing works
Quantum computation and quantum information
Law, J. (2001) · ACM SIGSOFT Software Engineering Notes · doi:10.1145/505482.505499 · Cited by 20,449 · see citing works
Effects of Diffusion on Free Precession in Nuclear Magnetic Resonance Experiments
Carr, H. Y., & Purcell, E. M. (1954) · Physical Review · doi:10.1103/physrev.94.630 · Cited by 6,445 · see citing works
Modified Spin-Echo Method for Measuring Nuclear Relaxation Times
Meiboom, S., & Gill, D. (1958) · Review of Scientific Instruments · doi:10.1063/1.1716296 · Cited by 6,001 · see citing works
Principles of Nuclear Magnetic Resonance in One and Two Dimensions
Ernst, R. R., Bodenhausen, G., Wokaun, A. J., & Redfield, A. G. (1989) · Physics Today · doi:10.1063/1.2811094 · Cited by 4,202 · see citing works
Davenport, H. (1980) · Graduate texts in mathematics · doi:10.1007/978-1-4757-5927-3 · Cited by 1,943 · see citing works
Schleich, W. P. (2001) · Wiley eBooks · doi:10.1002/3527602976 · Cited by 1,928 · see citing works
Self-citationExperimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
Vandersypen, L. M. K., Steffen, M., Breyta, G., Yannoni, C. S., Sherwood, M. H., & Chuang, I. L. (2001) · Nature · doi:10.1038/414883a · Cited by 1,738 · see citing works
Schleich, W. P. (2001) · Cited by 1,068 · see citing works
Self-citationPrinciples of nuclear magnetic resonance in one and two dimensions
V.S.D. (1988) · Journal of Molecular Structure · doi:10.1016/0022-2860(88)80261-8 · Cited by 954 · see citing works
Proceedings 35th Annual Symposium on Foundations of Computer Science
(1994) · Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365747 · Cited by 617 · see citing works
Quantum carpets, carpets of light
Berry, M., Marzoli, I., & Schleich, W. P. (2001) · Physics World · doi:10.1088/2058-7058/14/6/30 · Cited by 241 · see citing works
Self-citationQuantum Approach to Informatics
Stenholm, S., & Suominen, K. (2005) · Wiley eBooks · doi:10.1002/0471739367 · Cited by 117 · see citing works
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics
Derbyshire, J., & Silverman, M. P. (2005) · American Journal of Physics · doi:10.1119/1.1858489 · Cited by 104 · see citing works
Berry, M., & Goldberg, J. (1988) · Nonlinearity · doi:10.1088/0951-7715/1/1/001 · Cited by 95 · see citing works
One- and two-dimensional ensemble quantum computing in spin Liouville space
Mádi, Z. L., Brüschweiler, R., & Ernst, R. R. (1998) · The Journal of Chemical Physics · doi:10.1063/1.477759 · Cited by 92 · see citing works
Parallel quantum computing in a single ensemble quantum computer
Long, G. L., & Li, X. (2004) · Physical Review A · doi:10.1103/physreva.69.052303 · Cited by 78 · see citing works
Factoring integers with Young’sN-slit interferometer
Clauser, J. F., & Dowling, J. P. (1996) · Physical Review A · doi:10.1103/physreva.53.4587 · Cited by 72 · see citing works
Experimental realization of a fetching algorithm in a 7-qubit NMR spin Liouville space computer
Long, G. L., & Li, X. (2003) · The Journal of Chemical Physics · doi:10.1063/1.1611177 · Cited by 60 · see citing works
Sargent, M., Scully, M. O., Lamb, W. E., & Bloembergen, N. (1975) · Physics Today · doi:10.1063/1.3069060 · Cited by 59 · see citing works
Novel Strategy for Database Searching in Spin Liouville Space by NMR Ensemble Computing
Brüschweiler, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.4815 · Cited by 35 · see citing works
Factorization of numbers with physical systems
Merkel, W., Averbukh, I. S., Girard, B., Paulus, G. G., & Schleich, W. P. (2006) · Fortschritte der Physik · doi:10.1002/prop.200610315 · Cited by 33 · see citing works
Self-citationRandom renormalization in the semiclassical long-time limit of a precessing spin
Berry, M. (1988) · Physica D Nonlinear Phenomena · doi:10.1016/s0167-2789(98)90006-9 · Cited by 27 · see citing works
Fetching marked items from an unsorted database in NMR ensemble computing
Li, X., & Long, G. (2002) · Physical Review A · doi:10.1103/physreva.66.052320 · Cited by 24 · see citing works
Prime Numbers 101: A Primer on Number Theory
Schleich, W. P., & Maier, H. (2012) · Cited by 24 · see citing works
Self-citationHigh-order selective sequences in multiple-quantum NMR
Warren, W. S., Weitekamp, D. P., & Pines, A. (1980) · Journal of Magnetic Resonance (1969) · doi:10.1016/0022-2364(80)90015-3 · Cited by 22 · see citing works
Wave Packets can Factorize NumbersPreprint
Mack, H., Bienert, M., Haug, F., Freyberger, M., & Schleich, W. P. (2002) · Cited by 21 · see citing works
Self-citationQuantum-fractal revival structure in CN quadratic spectra: Base-Nquantum computer registers
Harter, W. G. (2001) · Physical Review A · doi:10.1103/physreva.64.012312 · Cited by 20 · see citing works
CHIRPED PULSES, GAUSS SUMS AND THE FACTORIZATION OF NUMBERS
Merkel, W., Crasser, O., Haug, F., Lutz, E., Mack, H., Freyberger, M., Schleich, W. P., Averbukh, I. S., Bienert, M., Girard, B., et al. (2006) · International Journal of Modern Physics B · doi:10.1142/s021797920603439x · Cited by 16 · see citing works
Self-citation
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Sorted by citations
Jones, J. A. (2010) · Progress in Nuclear Magnetic Resonance Spectroscopy · doi:10.1016/j.pnmrs.2010.11.001 · Cited by 185 · see citing works
de Chatellus, H. G., Lacot, É., Glastre, W., Jacquin, O., & Hugon, O. (2013) · Physical Review A · doi:10.1103/physreva.88.033828 · Cited by 88 · see citing works
Bigourd, D., Chatel, B., Schleich, W. P., & Girard, B. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.030202 · Cited by 84 · see citing works
Self-citationGauss Sum Factorization with Cold Atoms
Gilowski, M., Wendrich, T., Müller, T., Jentsch, C., Ertmer, W. A., Rasel, E. M., & Schleich, W. P. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.030201 · Cited by 80 · see citing works
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Romera, E., & Santos, F. D. L. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.263601 · Cited by 76 · see citing works
Kang, Y., Chen, Y., Wang, X., Song, J., Xia, Y., Miranowicz, A., Zheng, S., & Nori, F. (2022) · Physical Review Research · doi:10.1103/physrevresearch.4.013233 · Cited by 75 · see citing works
Revivals, classical periodicity, and zitterbewegung of electron currents in monolayer graphene
Romera, E., & de los Santos, F. (2009) · Physical Review B · doi:10.1103/physrevb.80.165416 · Cited by 69 · see citing works
Revivals of quantum wave packets in graphene
Krueckl, V., & Kramer, T. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/9/093010 · Cited by 62 · see citing works
Fractional revivals through Rényi uncertainty relations
Romera, E., & Santos, F. D. L. (2008) · Physical Review A · doi:10.1103/physreva.78.013837 · Cited by 40 · see citing works
Vibrational computing: Simulation of a full adder by optimal control
Bomble, L., Lauvergnat, D., Remacle, F., & Desouter-Lecomte, M. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2806800 · Cited by 38 · see citing works
Enhanced Factoring with a Bose-Einstein Condensate
Sadgrove, M., Kumar, S., & Nakagawa, K. (2008) · Physical Review Letters · doi:10.1103/physrevlett.101.180502 · Cited by 35 · see citing works
Revivals of zitterbewegung of a bound localized Dirac particle
Romera, E. (2011) · Physical Review A · doi:10.1103/physreva.84.052102 · Cited by 34 · see citing works
Ndong, M., Lauvergnat, D., Chapuisat, X., & Desouter-Lecomte, M. (2007) · The Journal of Chemical Physics · doi:10.1063/1.2743429 · Cited by 34 · see citing works
Factorization of numbers with physical systems
Merkel, W., Averbukh, I. S., Girard, B., Paulus, G. G., & Schleich, W. P. (2006) · Fortschritte der Physik · doi:10.1002/prop.200610315 · Cited by 33 · see citing works
Self-citationSearch an unsorted database with quantum mechanics
Long, G., & Liu, Y. (2007) · Frontiers of Computer Science in China · doi:10.1007/s11704-007-0026-z · Cited by 31 · see citing works
An Efficient Exact Quantum Algorithm for the Integer Square-free Decomposition Problem
Li, J., Peng, X., Du, J., & Suter, D. (2012) · Scientific Reports · doi:10.1038/srep00260 · Cited by 28 · see citing works
Factoring numbers with a single interferogram
Tamma, V., Zhang, H., He, X., Garuccio, A., Schleich, W. P., & Shih, Y. H. (2011) · Physical Review A · doi:10.1103/physreva.83.020304 · Cited by 26 · see citing works
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Farías, O. J., de Melo, F., Milman, P., & Walborn, S. P. (2015) · Physical Review A · doi:10.1103/physreva.91.062328 · Cited by 24 · see citing works
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Pelka, K., Graf, J., Mehringer, T., & von Zanthier, J. (2018) · Optics Express · doi:10.1364/oe.26.015009 · Cited by 24 · see citing works
Factorization of numbers with Gauss sums: I. Mathematical background
Wölk, S., Merkel, W., Schleich, W. P., Averbukh, I. S., & Girard, B. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/10/103007 · Cited by 23 · see citing works
Self-citationNMR implementation of factoring large numbers with Gauß sums: Suppression of ghost factors
Peng, X., & Suter, D. (2008) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/84/40006 · Cited by 23 · see citing works
Factoring numbers with interfering random waves
Weber, S. J., Chatel, B., & Girard, B. (2008) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/83/34008 · Cited by 22 · see citing works
Quantum oscillations and wave packet revival in conical graphene structure
Sinha, D., & Berche, B. (2016) · The European Physical Journal B · doi:10.1140/epjb/e2016-60907-y · Cited by 20 · see citing works
Factorizing numbers with classical interference: several implementations in optics
Rangelov, A. A. (2009) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/42/2/021002 · Cited by 20 · see citing works
New factorization algorithm based on a continuous representation of truncated Gauss sums
Tamma, V., Zhang, H., He, X., Garuccio, A., & Shih, Y. H. (2009) · Journal of Modern Optics · doi:10.1080/09500340903254700 · Cited by 18 · see citing works
Revival times at quantum phase transitions
Santos, F. D. L., & Romera, E. (2013) · Physical Review A · doi:10.1103/physreva.87.013424 · Cited by 18 · see citing works
Srivastava, H. M., Chaudhry, M. A., Qadir, A., & Tassaddiq, A. (2011) · Russian Journal of Mathematical Physics · doi:10.1134/s1061920811010110 · Cited by 18 · see citing works
Quantum phase measurement and Gauss sum factorization of large integers in a superconducting circuit
Ng, H. T., & Nori, F. (2010) · Physical Review A · doi:10.1103/physreva.82.042317 · Cited by 15 · see citing works
Factorization with exponential sums
Štefaňák, M., Haase, D., Merkel, W., Zubairy, M. S., & Schleich, W. P. (2008) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/41/30/304024 · Cited by 15 · see citing works
Self-citationPrime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers
Tamma, V., Alley, C. O., Schleich, W. P., & Shih, Y. H. (2010) · Foundations of Physics · doi:10.1007/s10701-010-9522-3 · Cited by 14 · see citing works
Self-citationNMR implementations of Gauss sums
Jones, J. A. (2008) · Physics Letters A · doi:10.1016/j.physleta.2008.07.019 · Cited by 14 · see citing works
Merkel, W., Wölk, S., Schleich, W. P., Averbukh, I. S., Girard, B., & Paulus, G. G. (2011) · New Journal of Physics · doi:10.1088/1367-2630/13/10/103008 · Cited by 13 · see citing works
Self-citationBanerji, J. (2007) · Contemporary Physics · doi:10.1080/00107510701666869 · Cited by 13 · see citing works
Axial Correlation Revivals and Number Factorization with Structured Random Waves
Liu, X., Liang, C., Cai, Y., & Ponomarenko, S. A. (2023) · Physical Review Applied · doi:10.1103/physrevapplied.20.l021004 · Cited by 11 · see citing works
Tamma, V. (2015) · Quantum Information Processing · doi:10.1007/s11128-015-1189-4 · Cited by 11 · see citing works
Speeding up implementation for Shor’s factorization quantum algorithm
Fu, X.-Q., Bao, W., & Zhou, C. H. (2010) · Chinese Science Bulletin · doi:10.1007/s11434-010-3039-1 · Cited by 11 · see citing works
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Antonosyan, D. A., Tamazyan, A. R., & Kryuchkyan, G. Y. (2012) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/45/21/215502 · Cited by 10 · see citing works
Emaranhamento multicolor entre feixes intensos de luz
Villar, A. S. (2007) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/t.43.2007.tde-15042008-175327 · Cited by 10 · see citing works
Tamma, V. (2015) · Quantum Information Processing · doi:10.1007/s11128-015-1190-y · Cited by 9 · see citing works
Factorization of numbers with truncated Gauss sums at rational arguments
Wölk, S., Feiler, C., & Schleich, W. P. (2009) · Journal of Modern Optics · doi:10.1080/09500340903194625 · Cited by 9 · see citing works
Self-citationPrime number factorization with light beams carrying orbital angular momentum
Li, X., Liu, X., Wu, Q., Zeng, J., Cai, Y., Ponomarenko, S. A., & Liang, C. (2024) · APL Photonics · doi:10.1063/5.0192223 · Cited by 8 · see citing works
Fisher information, nonclassicality and quantum revivals
Romera, E., & Santos, F. D. L. (2013) · Physics Letters A · doi:10.1016/j.physleta.2013.06.037 · Cited by 7 · see citing works
Signal analysis with atom optics
Sadgrove, M., Kumar, S., & Nakagawa, K. (2009) · Physical Review A · doi:10.1103/physreva.79.053618 · Cited by 7 · see citing works
Prime number factorization and degree of coherence of speckled light beams
Cao, T., Liu, X., Chen, Q., Ponomarenko, S. A., Cai, Y., & Liang, C. (2024) · Optics Letters · doi:10.1364/ol.537537 · Cited by 5 · see citing works
Zubairy, M. S. (2007) · Science · doi:10.1126/science.1140915 · Cited by 5 · see citing works
Application of new Rényi uncertainty relations to wave packet revivals
Santos, F. D. L., Guglieri, C., & Romera, E. (2009) · Physica E Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2009.06.078 · Cited by 5 · see citing works
Factorization of numbers with Gauss sums: III. Algorithms with EntanglementPreprint
Schleich, W. P. (2016) · Cited by 5 · see citing works
Self-citationFactorization of numbers with Gauss sums: III. Algorithms with entanglement
Wölk, S., & Schleich, W. P. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/1/013049 · Cited by 4 · see citing works
Self-citationBomble, L., Lavorel, B., Remacle, F., & Desouter-Lecomte, M. (2008) · The Journal of Chemical Physics · doi:10.1063/1.2920486 · Cited by 4 · see citing works
Principles of quantum computing
Mehring, M. (2007) · physica status solidi (b) · doi:10.1002/pssb.200776173 · Cited by 4 · see citing works
Self-citationGhost factors in Gauss-sum factorization with transmon qubits
Zaw, L. H., Tan, Y. P., Nguyen, L. H., Budoyo, R. P., Park, K. H., Koh, Z. Y., Landra, A., Hufnagel, C., Yap, Y. S., Koh, T. S., et al. (2021) · Physical Review A · doi:10.1103/physreva.104.062606 · Cited by 3 · see citing works
Extended Fermi-Dirac and Bose-Einstein functions with applications to the family of zeta functionsPreprint
Chaudhry, M. A., Qadir, A., & Tassaddiq, A. (2010) · arXiv (Cornell University) · doi:10.48550/arxiv.1004.0588 · Cited by 3 · see citing works
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Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_3 · Cited by 2 · see citing works
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Schleich, W. P. (2008) · Frontiers in Optics · doi:10.1364/fio.2008.stha2 · Cited by 1 · see citing works
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Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_5 · Cited by 1 · see citing works
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Spiridonov, V. P. (2022) · Theoretical and Mathematical Physics · doi:10.1134/s0040577922090069 · Cited by 1 · see citing works
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Santos, F. D. L., & Romera, E. (2023) · Physics Letters A · doi:10.1016/j.physleta.2023.129062 · Cited by 1 · see citing works
Tamma, V., Zhang, H., He, X., Garuccio, A., & Shih, Y. H. (2010) · Lecture notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering · doi:10.1007/978-3-642-11731-2_37 · Cited by 1 · see citing works
Number theoretic application of a spin network model
Coffey, M. W., & Deiotte, R. (2010) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/90/40006 · Cited by 1 · see citing works
Factorization of Numbers with Physical Systems
Merkel, W., Averbukh, I. S., Girard, B., Mehring, M., Paulus, G. G., & Schleich, W. P. (2007) · Wiley eBooks · doi:10.1002/9783527611065.ch17 · Cited by 1 · see citing works
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Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_6
Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_2
Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_13
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Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_10
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Tamma, V., Zhang, H., He, X., Garuccio, A., & Shih, Y. H. (2009) · Frontiers in Optics · doi:10.1364/fio.2009.fwi4
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Tamma, V., Zhang, H., He, X., & Garuccio, A. (2010) · Physica Scripta · doi:10.1088/0031-8949/2010/t140/014036
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Tamma, V., Garuccio, A., & Shih, Y. H. (2011) · Optics and Spectroscopy · doi:10.1134/s0030400x11110294
Seiden, G. (2012) · Physical Review A · doi:10.1103/physreva.85.043842
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Kumar, D. S. (2012) · Institutional Repositories DataBase (IRDB)
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Akulin, V. M. (2013) · Theoretical and mathematical physics · doi:10.1007/978-94-007-7205-2_12
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- Authors
- Mehring, M., Müller, K., Averbukh, I. S., Merkel, W., & Schleich, W. P.
- Affiliations
- University of Stuttgart (DE)
- Weizmann Institute of Science (IL)
- Universität Ulm (DE)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2007-03-22
- Volume
- 98
- Issue
- 12
- Pages
- 120502-120502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2001040405
- Cited by
- 85
- References
- 30
- Citations by year
- 2026: 2 · 2024: 2 · 2023: 2 · 2022: 3 · 2021: 1 · 2018: 2 · 2016: 2 · 2015: 3 · 2013: 16 · 2012: 5
- FWCI
- 14.58
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Institutional Research Information System (Università degli Studi di Trento) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Iris (University of Trento) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Computer Science › Information Systems › Cryptography and Residue Arithmetic
- Physical Sciences › Mathematics › Algebra and Number Theory › Analytic Number Theory Research
- Keywords
- Gauss sums, NMR quantum computing, integer factorization, Shor's algorithm, entangled states, quantum computing
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Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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