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Abstract: . The Church-Turing thesis says that a digital computer is a universal computational device; that is, it is able to simulate any physically realizable computational device. It has generally been believed that this simulation can be made efficient so that it entails at most a polynomial increase in computation time. This may not be true if quantum mechanics is taken into consideration. A quantum computer is a hypothetical machine based on quantum mechanics. We explain quantum computing, and give ... (Update)
Context of citations to this paper: More
...bit , the qubit. Its state can be described by means of the state . X ) refers to the complex probability amplitudes and G G 5 [8], 9] 6] The expression G denotes the probability that after measuring the qubit it can be found in computational base , and G shows...
.... Its state can be described by means of the state # = # 0# # 1#, where #, # C refers to the complex probability amplitudes and # = 1 [7, 8, 6]. The expression denotes the probability that after measuring the qubit it can be found in computational base, and shows the...
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BibTeX entry: (Update)
P. W. Shor, Quantum Computing, ICM 1998 lecture, http://www.research.att.com/ ~ shor/papers/ICM.ps. http://citeseer.ist.psu.edu/shor98quantum.html More
@inproceedings{ shor98quantum,
author = "Peter W. Shor",
title = "Quantum Computing",
booktitle = "{ICM}: Proceedings of the International Congress of Mathematicians",
year = "1998",
url = "citeseer.ist.psu.edu/shor98quantum.html" }
Citations (may not include all citations):1529 A method of obtaining digital signatures and public-key cryp.. - Rivest, Shamir et al. - 1978
175 Logical reversibility of computation (context) - Bennett - 1973
173 Quantum complexity theory - Bernstein, Vazirani - 1997 ACM DBLP
164 Polynomial-time algorithms for prime factorization and discr.. - Shor - 1997 ACM DBLP
144 the power of quantum computation - Simon - 1997
124 Elementary gates for quantum computation - Barenco, Bennett et al. - 1995
118 the Church--Turing principle and the universal quantum compu.. (context) - Deutsch, theory - 1985
116 Simulating physics with computers - Feynman - 1982
90 Quantum cryptography: public key distribution and coin tossi.. (context) - Bennett, Brassard - 1984
86 Conservative logic (context) - Fredkin, Toffoli - 1982
85 Quantum circuit complexity - Yao - 1993 DBLP
55 Teleporting an unknown quantum state via dual classical and .. - Bennett, Brassard et al. - 1993
52 Good quantum error-correcting codes exist - Calderbank, Shor - 1995
46 Quantum computations with cold trapped ions (context) - Cirac, Zoller - 1995
45 Fault-tolerant quantum computation - Shor - 1996 ACM DBLP
42 Multiple particle interference and quantum error correction (context) - Steane - 1996
35 Quantum error correction via codes over GF - Calderbank, Rains et al. - 1998
34 A class of quantum error-correcting codes saturating the qua.. (context) - Gottesman - 1996
28 Substituting quantum entanglement for communication (context) - Cleve, Burhman - 1997
22 A framework for fast quantum mechanical algorithms (context) - Grover - 1998 ACM DBLP
18 Ensemble quantum computing by nuclear magnetic resonance spe.. - Cory, Fahmy et al. - 1997
14 Universal quantum simulators (context) - Lloyd - 1996
12 Simulation of many-body Fermi systems on a universal quantum.. (context) - Abrams, Lloyd - 1997
10 A silicon-based nuclear spin quantum computer (context) - Kane - 1998
9 Stabilizer Codes and Quantum Error Correction (context) - Gottesman - 1997
6 classical communication and computation (context) - Burhman, Cleve et al. - 1998
6 Efficient simulation of quantum systems by quantum computers (context) - Zalka - 1998
5 Fast versions of Shor's quantum factoring algorithm - Zalka - 1998
2 to appear (context) - Bennett, Shor et al. - 1998
1 available online at http://www (context) - Preskill, for - 1998
1 16--20 (context) - Brassard, cryptography et al. - 1993
1 Bulk spin resonance quantum computation Science (context) - Gershenfeld, Chuang - 1997
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://elib.uni-osnabrueck.de/EMIS/journals/DMJDMV/xvol-icm/Fields/Fields.html):
What is Moonshine? - Borcherds (1998) (Correct)
Rigidity and Inflexibility in Conformal Dynamics - McMullen (1998) (Correct)
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