-
2
-
-
0032058198
-
Proof verification and the hardness of approximation problems
-
S. Arora, C. Lund, R. Motwani, M. Sudan, M. Szegedy. Proof verification and the hardness of approximation problems, J. ACM 45 (3) (1998) 501-555.
-
(1998)
J. ACM
, vol.45
, Issue.3
, pp. 501-555
-
-
Arora, S.1
Lund, C.2
Motwani, R.3
Sudan, M.4
Szegedy, M.5
-
3
-
-
0031651077
-
Probabilistic checking of proofs: A new characterization of NP
-
S. Arora, S. Safra, Probabilistic checking of proofs: a new characterization of NP, J. ACM 45 (1) (1998) 70-122.
-
(1998)
J. ACM
, vol.45
, Issue.1
, pp. 70-122
-
-
Arora, S.1
Safra, S.2
-
5
-
-
0002771903
-
Non-deterministic exponential time has two-prover interactive protocols
-
L. Babai, L.J. Fortnow, C. Lund, Non-deterministic exponential time has two-prover interactive protocols, Comput. Complexity 1(1) (1991)3-40.
-
(1991)
Comput. Complexity
, vol.1
, Issue.1
, pp. 3-40
-
-
Babai, L.1
Fortnow, L.J.2
Lund, C.3
-
6
-
-
84878628062
-
On the role of shared randomness in two prover proof systems
-
M. Bellare, U. Feige, J. Kilian, On the role of shared randomness in two prover proof systems. in: Proceedings of the Third Israel Symposium on the Theory of Computing and Systems, 1995, pp. 199-208.
-
Proceedings of the Third Israel Symposium on the Theory of Computing and Systems, 1995
, pp. 199-208
-
-
Bellare, M.1
Feige, U.2
Kilian, J.3
-
7
-
-
84898945449
-
Multi-prover interactive proofs: How to remove the intractability assumptions
-
M. Ben-Or, S. Goldwasser, J. Kilian, A. Wigderson, Multi-prover interactive proofs: how to remove the intractability assumptions. in: Proceedings of the 20th Annual ACM Symposium on Theory of Computing, 1988, pp. 113-131.
-
Proceedings of the 20th Annual ACM Symposium on Theory of Computing, 1988
, pp. 113-131
-
-
Ben-Or, M.1
Goldwasser, S.2
Kilian, J.3
Wigderson, A.4
-
8
-
-
0001063035
-
Strengths and weaknesses of quantum computing
-
C.H. Bennett, E. Bernstein, G. Brassard, U.V. Vazirani, Strengths and weaknesses of quantum computing, SIAM J. Comput. 26 (5) 1510-1523.
-
(1997)
SIAM J. Comput.
, vol.26
, Issue.5
, pp. 1510-1523
-
-
Bennett, C.H.1
Bernstein, E.2
Brassard, G.3
Vazirani, U.V.4
-
9
-
-
0034249254
-
A new universal and fault-tolerant quantum basis
-
P.O. Boykin, T. Mor, M. Pulver, V.P. Roychowdhury, F. Vatan, A new universal and fault-tolerant quantum basis. Inform. Process. Lett. 75 (3) (2000) 101-107.
-
(2000)
Inform. Process. Lett.
, vol.75
, Issue.3
, pp. 101-107
-
-
Boykin, P.O.1
Mor, T.2
Pulver, M.3
Roychowdhury, V.P.4
Vatan, F.5
-
10
-
-
0025686844
-
On bounded round multi-prover interactive proof systems
-
J.-Y. Cai, A. Condon, R.J. Lipton, On bounded round multi-prover interactive proof systems. in: Proceedings of the Fifth Annual Structure in Complexity Theory Conference, 1990, pp. 45-54.
-
Proceedings of the Fifth Annual Structure in Complexity Theory Conference, 1990
, pp. 45-54
-
-
Cai, J.-Y.1
Condon, A.2
Lipton, R.J.3
-
11
-
-
0028370954
-
PSPACE is provable by two provers in one round
-
J.-Y. Cai, A. Condon, R.J. Lipton, PSPACE is provable by two provers in one round, J. Comput. System Sci. 48 (1) (1994) 183-193.
-
(1994)
J. Comput. System Sci.
, vol.48
, Issue.1
, pp. 183-193
-
-
Cai, J.-Y.1
Condon, A.2
Lipton, R.J.3
-
13
-
-
0022421379
-
Quantum theory, the Church-Turing principle and the universal quantum computer
-
D. Deutsch, Quantum theory, the Church-Turing principle and the universal quantum computer, Proc. Roy. Soc. London A 400 (1985) 97-117.
-
(1985)
Proc. Roy. Soc. London A
, vol.400
, pp. 97-117
-
-
Deutsch, D.1
-
16
-
-
0038435616
-
Complexity-theoretic aspects of interactive proof systems
-
Ph.D. Thesis, Department of Mathematics, Massachussetts Institute of Technology, May
-
L.J. Fortnow, Complexity-theoretic aspects of interactive proof systems, Ph.D. Thesis, Department of Mathematics, Massachussetts Institute of Technology, May 1989.
-
(1989)
-
-
Fortnow, L.J.1
-
17
-
-
0028544648
-
On the power of multi-prover interactive protocols
-
L.J. Fortnow, J. Rompel, M. Sipser, On the power of multi-prover interactive protocols, Theoret. Comput. Sci. 134 (2) (1994) 545-557.
-
(1994)
Theoret. Comput. Sci.
, vol.134
, Issue.2
, pp. 545-557
-
-
Fortnow, L.J.1
Rompel, J.2
Sipser, M.3
-
18
-
-
0024611659
-
The knowledge complexity of interactive proof systems
-
S. Goldwasser, S. Micali, C. Rackoff, The knowledge complexity of interactive proof systems, SIAM J. Comput. 18 (1) (1989) 186-208.
-
(1989)
SIAM J. Comput.
, vol.18
, Issue.1
, pp. 186-208
-
-
Goldwasser, S.1
Micali, S.2
Rackoff, C.3
-
19
-
-
0001796243
-
Private coins versus public coins in interactive proof systems
-
in: S. Micali (Ed.); JAI Press
-
S. Goldwasser, M. Sipser, Private coins versus public coins in interactive proof systems, in: S. Micali (Ed.), Randomness and Computation, Advances in Computing Research, Vol. 5, JAI Press, 1989, pp. 73-90.
-
(1989)
Randomness and Computation, Advances in Computing Research
, vol.5
, pp. 73-90
-
-
Goldwasser, S.1
Sipser, M.2
-
21
-
-
0001992982
-
A complete classification of quantum ensembles having a given density matrix
-
L.P. Hughston, R. Jozsa, W.K. Wootters, A complete classification of quantum ensembles having a given density matrix. Phys. Lett. A 183 (1993) 14-18.
-
(1993)
Phys. Lett. A
, vol.183
, pp. 14-18
-
-
Hughston, L.P.1
Jozsa, R.2
Wootters, W.K.3
-
22
-
-
0033720106
-
Parallelization, amplification, and exponential time simulation of quantum interactive proof systems
-
A. Yu. Kitaev, J.H. Watrous, Parallelization, amplification, and exponential time simulation of quantum interactive proof systems, in: Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, 2000, pp. 608-617.
-
Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, 2000
, pp. 608-617
-
-
Kitaev, A.Yu.1
Watrous, J.H.2
-
23
-
-
0038435610
-
Quantum certificate verification: Single versus multiple quantum certificates
-
Los Alamos e-print archive, quant-ph/0110006
-
H. Kobayashi, K. Matsumoto, T. Yamakami, Quantum certificate verification: single versus multiple quantum certificates, Los Alamos e-print archive, quant-ph/0110006, 2001.
-
(2001)
-
-
Kobayashi, H.1
Matsumoto, K.2
Yamakami, T.3
-
24
-
-
0031122054
-
Fully parallelized multi prover protocols for NEXP-time
-
D. Lapidot, A. Shamir, Fully parallelized multi prover protocols for NEXP-time, J. Comput. System Sci. 54 (2) (1997) 215-220.
-
(1997)
J. Comput. System Sci.
, vol.54
, Issue.2
, pp. 215-220
-
-
Lapidot, D.1
Shamir, A.2
-
25
-
-
0026930922
-
Algebraic methods for interactive proof systems
-
C. Lund, L.J. Fortnow, H. Karloff, N. Nisan, Algebraic methods for interactive proof systems, J. ACM 39 (4) (1992) 859-868.
-
(1992)
J. ACM
, vol.39
, Issue.4
, pp. 859-868
-
-
Lund, C.1
Fortnow, L.J.2
Karloff, H.3
Nisan, N.4
-
27
-
-
84861593360
-
Quantum computation and quantum information
-
Cambridge University Press, Cambridge
-
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, 2000.
-
(2000)
-
-
Nielsen, M.A.1
Chuang, I.L.2
-
29
-
-
0026930543
-
IP = PSPACE
-
A. Shamir, IP = PSPACE. J. ACM 39 (4) (1992).
-
(1992)
J. ACM
, vol.39
, Issue.4
, pp. 869-877
-
-
Shamir, A.1
-
31
-
-
0142051871
-
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
-
P.W. Shor, Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer, SIAM J. Comput. 26 (5) (1997) 1484-1509.
-
(1997)
SIAM J. Comput.
, vol.26
, Issue.5
, pp. 1484-1509
-
-
Shor, P.W.1
-
32
-
-
0343012756
-
Parallel transport and "quantum holonomy" along density operators
-
A. Uhlman, Parallel transport and "quantum holonomy" along density operators, Rep. Math. Phys. 24 (1986) 229-240.
-
(1986)
Rep. Math. Phys.
, vol.24
, pp. 229-240
-
-
Uhlman, A.1
-
33
-
-
0037473943
-
PSPACE has constant-round quantum interactive proof systems
-
J.H. Watrous, PSPACE has constant-round quantum interactive proof systems, Theoret. Comput. Sci. 292 (2003) 575-588.
-
(2003)
Theoret. Comput. Sci.
, vol.292
, pp. 575-588
-
-
Watrous, J.H.1
|