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Parallelization, amplification, and exponential time simulation of quantum interactive proof systems
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Source Annual ACM Symposium on Theory of Computing archive
Proceedings of the thirty-second annual ACM symposium on Theory of computing table of contents
Portland, Oregon, United States
Pages: 608 - 617  
Year of Publication: 2000
ISBN:1-58113-184-4
Authors
Alexei Kitaev  Microsoft Research, One Microsoft Way, Redmond, WA
John Watrous  Department of Computer Science, University of Calgary, 2500 University Drive NW, Calgary (Alberta), Canada T2N 1N4
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 12,   Downloads (12 Months): 52,   Citation Count: 10
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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F. Alizadeh. Interior point methods in semidefinite programming with applications to combinatorial optimization. SIAM Journal on Optimization, 5(1):13-51, 1995.
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L. Babai, L. Fortnow, and C. Lund. Non-deterministic exponential time has two-prover interactive protocols. Computational Complexity, 1(1):3-40, 1991.
 
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A. Barenco. A universal two-bit gate for quantum computation. Proceedings of the Royal Society of London, 449:679-683, 1995.
 
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A. Barenco, C. H. Bennett, R. Cleve, D. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. Smolin, and H. Weinfurter. Elementary gates for quantum computation. Physical Review Letters A, 52:3457-3467, 1995.
 
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J. Cai, A. Condon, and R. Lipton. On bounded round multi-prover interactive proof systems. In Proceedings of the Fifth Annual Conference on Structure in Complexity Theory, pages 45-54, 1990.
 
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D. Deutsch. Quantum theory, the Church-Turing principle and the universal quantum computer. Proceedings of the Royal Society of London, A400:97-117, 1985.
 
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D. Deutsch. Quantum computational networks. Proceedings of the Royal Society of London, A425:73-90, 1989.
 
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D. DiVincenzo. Two-bit gates are universal for quantum computation. Physical Review A, 50:1015-1022, 1995.
 
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U. Feige. On the success probability of two provers in one-round proof systems. In Proceedings of the Sixth Annual Conference on Structure in Complexity Theory, pages 116-123, 1991.
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C. Fuchs and J. van de Graaf. Cryptographic distinguishability measures for quantum-mechanical states. IEEE Transactions on Information Theory, 45(4):1216-1227, 1999.
 
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S. Goldwasser and M. Sipser. Private coins versus public coins in interactive proof systems. In S. Micali, editor, Randomness and Computation, volume 5 of Advances in Computing Research, pages 73-90. JAI Press, 1989.
 
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M. GrStschel, L. Lov~sz, and A. Schrijver. The ellipsoid method and its consequences in combinatorial optimization. Combinatorica, 1, 1981.
 
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L. Hughston, R. Jozsa, and W. Wootters. A complete classification of quantum ensembles having a given density matrix. Physics Letters A, 183:14-18, 1993.
 
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R. Jozsa. Fidelity for mixed quantum states. Journal of Modern Optics, 41(12):2315-2323, 1994.
 
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A. Kitaev. Quantum computations: algorithms and error correction. Russian Mathematical Surveys, 52(6):1191-1249, 1997.
 
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A. Yao. Quantum circuit complexity. In Proceedings of the 3jth Annual Symposium on Foundations of Computer Science, pages 352-361, 1993.

CITED BY  10

Collaborative Colleagues:
Alexei Kitaev: colleagues
John Watrous: colleagues