-
1
-
-
0041513292
-
-
(2 Oct); to appear in Proceedings of the 18th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2003
-
S. Aaronson, Quantum Certificate Complexity, http://arxiv.org/abs/quant-ph/0210020 (2 Oct2002); to appear in Proceedings of the 18th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2003.
-
(2002)
Quantum Certificate Complexity
-
-
Aaronson, S.1
-
2
-
-
5544263287
-
Quantum computability
-
L. M. Adleman, J. Demarrais, and M. A. Huang, Quantum computability, SIAM J. Comput., 26 (1997), pp. 1524-1540.
-
(1997)
SIAM J. Comput.
, vol.26
, pp. 1524-1540
-
-
Adleman, L.M.1
Demarrais, J.2
Huang, M.A.3
-
3
-
-
0003430191
-
The probabilistic method
-
Wiley-Interscience, New York
-
N. Alon and J. H. Spencer, The Probabilistic Method, Wiley-Interscience, New York, 1992.
-
(1992)
-
-
Alon, N.1
Spencer, J.H.2
-
4
-
-
0033684392
-
Quantum lower bounds by quantum arguments
-
A. Ambainis, Quantum lower bounds by quantum arguments, in Proceedings of the 32nd ACM Symposium on Theory of Computing, ACM, New York, 2000, pp. 636-643.
-
Proceedings of the 32nd ACM Symposium on Theory of Computing, ACM, New York, 2000
, pp. 636-643
-
-
Ambainis, A.1
-
5
-
-
0032320435
-
The quantum communication complexity of sampling
-
A. Ambainis, L. Schulman, A. Ta-Shma, U. Vazirani, and A. Wigderson, The quantum communication complexity of sampling, in Proceedings of the 39th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998, pp. 342-351.
-
Proceedings of the 39th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998
, pp. 342-351
-
-
Ambainis, A.1
Schulman, L.2
Ta-Shma, A.3
Vazirani, U.4
Wigderson, A.5
-
6
-
-
0032313840
-
Quantum lower bounds by polynomials
-
R. Beals, H. Buhrman, R. Cleve, M. Mosca, and R. De Wolf, Quantum lower bounds by polynomials, in Proceedings of the 39th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998, pp. 352-361.
-
Proceedings of the 39th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1998
, pp. 352-361
-
-
Beals, R.1
Buhrman, H.2
Cleve, R.3
Mosca, M.4
De Wolf, R.5
-
7
-
-
0037709219
-
Sharp quantum vs. classical query complexity separations
-
N. De Beaudrap, R. Cleve, and J. Watrous, Sharp quantum vs. classical query complexity separations, Algorithmica, 34 (2002), pp. 449-461.
-
(2002)
Algorithmica
, vol.34
, pp. 449-461
-
-
De Beaudrap, N.1
Cleve, R.2
Watrous, J.3
-
8
-
-
0027204515
-
The polynomial method in circuit complexity
-
R. Beigel, The polynomial method in circuit complexity, in Proceedings of the 8th IEEE Structure in Complexity Theory Conference, IEEE, New York, 1993, pp. 82-95.
-
Proceedings of the 8th IEEE Structure in Complexity Theory Conference, IEEE, New York, 1993
, pp. 82-95
-
-
Beigel, R.1
-
9
-
-
0001063035
-
Strengths and weaknesses of quantum computing
-
C. H. Bennett, E. Bernstein, G. Brassard, and U. Vazirani, Strengths and weaknesses of quantum computing, SIAM J. Comput., 26 (1997), pp. 1510-1523.
-
(1997)
SIAM J. Comput.
, vol.26
, pp. 1510-1523
-
-
Bennett, C.H.1
Bernstein, E.2
Brassard, G.3
Vazirani, U.4
-
10
-
-
0038763808
-
-
Personal communication via email, Université de Montréal, Canada
-
G. Brassard, Personal communication via email, Université de Montréal, Canada, 2000.
-
(2000)
-
-
Brassard, G.1
-
12
-
-
0030661550
-
An exact quantum polynomial-time algorithm for Simon's problem
-
G. Brassard and P. Høyer, An exact quantum polynomial-time algorithm for Simon's problem, in Proceedings of the 5th Israeli Symposium on Theory of Computing and Systems, Ramat-Gan, Israel, 1997, pp. 12-23.
-
Proceedings of the 5th Israeli Symposium on Theory of Computing and Systems, Ramat-Gan, Israel, 1997
, pp. 12-23
-
-
Brassard, G.1
Høyer, P.2
-
13
-
-
0002685054
-
Quantum algorithm for the collision problem
-
G. Brassard, P. Høyer, and A. Tapp, Quantum algorithm for the collision problem, ACM SIGACT News (Cryptology Column), 28 (1997), pp. 14-19.
-
(1997)
ACM SIGACT News (Cryptology Column)
, vol.28
, pp. 14-19
-
-
Brassard, G.1
Høyer, P.2
Tapp, A.3
-
14
-
-
84878528377
-
Quantum counting
-
G. Brassard, P. Høyer, and A. Tapp, Quantum counting, in Proceedings of the 25th ICALP, Lecture Notes in Comput. Sci. 1443, Springer-Verlag, New York, 1998, pp. 820-831.
-
Proceedings of the 25th ICALP, Lecture Notes in Comput. Sci. 1443, Springer-Verlag, New York, 1998
, pp. 820-831
-
-
Brassard, G.1
Høyer, P.2
Tapp, A.3
-
16
-
-
42749103634
-
Quantum fingerprinting
-
article 167902
-
H. Buhrman, R. Cleve, J. Watrous, and R. De Wolf, Quantum fingerprinting, Phys. Rev. Lett., 87 (2001), article 167902.
-
(2001)
Phys. Rev. Lett.
, vol.87
-
-
Buhrman, H.1
Cleve, R.2
Watrous, J.3
De Wolf, R.4
-
17
-
-
0031630576
-
Quantum vs. classical communication and computation
-
H. Buhrman, R. Cleve, and A. Wigderson, Quantum vs. classical communication and computation, in Proceedings of the 30th ACM Symposium on Theory of Computing, ACM, New York, 1998, pp. 63-68.
-
Proceedings of the 30th ACM Symposium on Theory of Computing, ACM, New York, 1998
, pp. 63-68
-
-
Buhrman, H.1
Cleve, R.2
Wigderson, A.3
-
18
-
-
0033309275
-
Bounds for small-error and zero-error quantum algorithms
-
H. Burhman, R. Cleve, R. De Wolf, and Ch. Zalka, Bounds for small-error and zero-error quantum algorithms, in Proceedings of the 40th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1999, pp. 358-368.
-
Proceedings of the 40th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1999
, pp. 358-368
-
-
Burhman, H.1
Cleve, R.2
De Wolf, R.3
Zalka, Ch.4
-
19
-
-
0034874723
-
Communication complexity lower bounds by polynomials
-
H. Buhrman and R. De Wolf, Communication complexity lower bounds by polynomials, in Proceedings of the 16th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2001, pp. 120-130.
-
Proceedings of the 16th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2001
, pp. 120-130
-
-
Buhrman, H.1
De Wolf, R.2
-
20
-
-
0037048579
-
Complexity measures and decision tree complexity: A survey
-
H. Buhrman and R. De Wolf, Complexity measures and decision tree complexity: A survey, Theoret. Comput. Sci., 288 (2002), pp. 21-43.
-
(2002)
Theoret. Comput. Sci.
, vol.288
, pp. 21-43
-
-
Buhrman, H.1
De Wolf, R.2
-
21
-
-
0002777201
-
Substituting quantum entanglement for communication
-
R. Cleve and H. Buhrman, Substituting quantum entanglement for communication, Phys. Rev. A (3), 56 (1997), pp. 1201-1204.
-
(1997)
Phys. Rev. A
, vol.56
, Issue.3
, pp. 1201-1204
-
-
Cleve, R.1
Buhrman, H.2
-
22
-
-
0000119236
-
Rapid solution of problems by quantum computation
-
D. Deutsch and R. Jozsa, Rapid solution of problems by quantum computation, Proc. Roy. Soc. London Ser. A, 439 (1992), pp. 553-558.
-
(1992)
Proc. Roy. Soc. London Ser. A
, vol.439
, pp. 553-558
-
-
Deutsch, D.1
Jozsa, R.2
-
23
-
-
0001207678
-
A limit on the speed of quantum computation in determining parity
-
E. Farhi, J. Goldstone, S. Gutmann, and M. Sipser, A limit on the speed of quantum computation in determining parity, Phys. Rev. Lett., 81 (1998), pp. 5442-5444.
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5442-5444
-
-
Farhi, E.1
Goldstone, J.2
Gutmann, S.3
Sipser, M.4
-
24
-
-
0037581102
-
Determining acceptance possibility for a quantum computation is hard for the polynomial hierarchy
-
S. Fenner, F. Green, S. Homer, and R. Pruim, Determining acceptance possibility for a quantum computation is hard for the polynomial hierarchy, in Proceedings of the 6th Italian Conference on Theoretical Computer Science, Prato, Italy, 1998, pp. 241-252.
-
Proceedings of the 6th Italian Conference on Theoretical Computer Science, Prato, Italy, 1998
, pp. 241-252
-
-
Fenner, S.1
Green, F.2
Homer, S.3
Pruim, R.4
-
25
-
-
0032597113
-
Complexity limitations on quantum computation
-
L. Fortnow and J. Rogers, Complexity limitations on quantum computation, J. Comput. System Sci., 59 (1999), pp. 240-252.
-
(1999)
J. Comput. System Sci.
, vol.59
, pp. 240-252
-
-
Fortnow, L.1
Rogers, J.2
-
26
-
-
0029701737
-
A fast quantum mechanical algorithm for database search
-
L. K. Grover, A fast quantum mechanical algorithm for database search, in Proceedings of the 28th ACM Symposium on Theory of Computing, ACM, New York, 1996, pp. 212-219.
-
Proceedings of the 28th ACM Symposium on Theory of Computing, ACM, New York, 1996
, pp. 212-219
-
-
Grover, L.K.1
-
27
-
-
0345530231
-
The Colin de Verdière graph parameter
-
H. Van Der Holst, L. Lovász, and A. Schrijver, The Colin de Verdière graph parameter, in Graph Theory and Combinatorial Biology, János Bolyai Mathematical Society, Budapest, 1999, pp. 29-85.
-
Graph Theory and Combinatorial Biology, János Bolyai Mathematical Society, Budapest, 1999
, pp. 29-85
-
-
Van Der Holst, H.1
Lovász, L.2
Schrijver, A.3
-
29
-
-
84937432486
-
Improved quantum communication complexity bounds for disjointness and equality
-
P. Høyer and R. De Wolf, Improved quantum communication complexity bounds for disjointness and equality, in Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science, Lecture Notes in Comput. Sci. 2285, Springer-Verlag, New York, 2002, pp. 299-310.
-
Proceedings of the 19th Annual Symposium on Theoretical Aspects of Computer Science, Lecture Notes in Comput. Sci. 2285, Springer-Verlag, New York, 2002
, pp. 299-310
-
-
Høyer, P.1
De Wolf, R.2
-
30
-
-
0004342981
-
-
AMS, Providence, RI
-
A. Kitaev, A. Shen, and M. Vyalvi, Classical and Quantum Computation, AMS, Providence, RI, 2002.
-
(2002)
Classical and Quantum Computation
-
-
Kitaev, A.1
Shen, A.2
Vyalvi, M.3
-
31
-
-
0033720106
-
Parallelization, amplification, and exponential time simulation of quantum interactive proof systems
-
A. Kitaev and J. Watrous, Parallelization, amplification, and exponential time simulation of quantum interactive proof systems, in Proceedings of the 32nd ACM Symposium on Theory of Computing, ACM, New York, 2000, pp. 608-617.
-
Proceedings of the 32nd ACM Symposium on Theory of Computing, ACM, New York, 2000
, pp. 608-617
-
-
Kitaev, A.1
Watrous, J.2
-
33
-
-
0005340287
-
Quantum communication complexity
-
H. Klauck, Quantum communication complexity, in Proceedings of the Workshop on Boolean Functions and Applications at the 27th International Colloquium on Automata, Languages and Programming, Geneva, Switzerland, 2000, pp. 241-252.
-
Proceedings of the Workshop on Boolean Functions and Applications at the 27th International Colloquium on Automata, Languages and Programming, Geneva, Switzerland, 2000
, pp. 241-252
-
-
Klauck, H.1
-
34
-
-
0035187013
-
Lower bounds for quantum communication complexity
-
H. Klauck, Lower bounds for quantum communication complexity, in Proceedings of the 42nd IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 2001, pp. 288-297.
-
Proceedings of the 42nd IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 2001
, pp. 288-297
-
-
Klauck, H.1
-
35
-
-
0004174450
-
-
Master's thesis, Computer Science Department, Hebrew University, Jerusalem, Israel
-
I. Kremer, Quantum Communication, Master's thesis, Computer Science Department, Hebrew University, Jerusalem, Israel, 1995.
-
(1995)
Quantum Communication
-
-
Kremer, I.1
-
37
-
-
0035331823
-
Classical simulation of quantum entanglement without local hidden variables
-
article 052305
-
S. Massar, D. Bacon, N. Cerf, and R. Cleve, Classical simulation of quantum entanglement without local hidden variables, Phys. Rev. A (3), 63 (2001), article 052305.
-
(2001)
Phys. Rev. A
, vol.63
, Issue.3
-
-
Massar, S.1
Bacon, D.2
Cerf, N.3
Cleve, R.4
-
38
-
-
84948135289
-
The "log rank" conjecture for modular communication complexity
-
C. Meinel and S. Waack, The "log rank" conjecture for modular communication complexity, in Proceedings of the 13th Annual Symposium on Theoretical Aspects of Computer Science, Lecture Notes in Comput. Sci. 1046, Springer-Verlag, New York, 1996, pp. 619-630.
-
Proceedings of the 13th Annual Symposium on Theoretical Aspects of Computer Science, Lecture Notes in Comput. Sci. 1046, Springer-Verlag, New York, 1996
, pp. 619-630
-
-
Meinel, C.1
Waack, S.2
-
39
-
-
0004290881
-
-
MIT Press, Cambridge, MA
-
M. Minsky and S. Papert, Perceptrons, MIT Press, Cambridge, MA, 1968, 1988.
-
(1968)
Perceptrons
-
-
Minsky, M.1
Papert, S.2
-
40
-
-
84861593360
-
-
Cambridge University Press, Cambridge, UK, 2000
-
M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK, 2000.
-
Quantum Computation and Quantum Information
-
-
Nielsen, M.A.1
Chuang, I.L.2
-
41
-
-
0026389757
-
CREW PRAMs and decision trees
-
N. Nisan, CREW PRAMs and decision trees, SIAM J. Comput., 20 (1991), pp. 999-1007.
-
(1991)
SIAM J. Comput.
, vol.20
, pp. 999-1007
-
-
Nisan, N.1
-
42
-
-
0000607672
-
On the degree of Boolean functions as real polynomials
-
N. Nisan and M. Szegedy, On the degree of Boolean functions as real polynomials, Comput. Complexity, 4 (1994), pp. 301-313.
-
(1994)
Comput. Complexity
, vol.4
, pp. 301-313
-
-
Nisan, N.1
Szegedy, M.2
-
43
-
-
21844488639
-
On rank vs. communication complexity
-
N. Nisan and A. Wigderson, On rank vs. communication complexity, Combinatorica, 15 (1995), pp. 557-565.
-
(1995)
Combinatorica
, vol.15
, pp. 557-565
-
-
Nisan, N.1
Wigderson, A.2
-
44
-
-
0032629110
-
Exponential separation of quantum and classical communication complexity
-
R. Raz, Exponential separation of quantum and classical communication complexity, in Proceedings of the 31st ACM Symposium on Theory of Computing, ACM, New York, 1999, pp. 358-367.
-
Proceedings of the 31st ACM Symposium on Theory of Computing, ACM, New York, 1999
, pp. 358-367
-
-
Raz, R.1
-
45
-
-
0026990361
-
On the distributional complexity of disjointness
-
A. Razborov, On the distributional complexity of disjointness, Theoret. Comput. Sci., 106 (1992), pp. 385-390.
-
(1992)
Theoret. Comput. Sci.
, vol.106
, pp. 385-390
-
-
Razborov, A.1
-
46
-
-
84976779342
-
Fast probabilistic algorithms for verification of polynomial identities
-
J. T. Schwartz, Fast probabilistic algorithms for verification of polynomial identities, J. ACM, 27 (1980), pp. 701-717.
-
(1980)
J. ACM
, vol.27
, pp. 701-717
-
-
Schwartz, J.T.1
-
47
-
-
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 (1997), pp. 1484-1509.
-
(1997)
SIAM J. Comput.
, vol.26
, pp. 1484-1509
-
-
Shor, P.W.1
-
48
-
-
0009438294
-
On the power of quantum computation
-
D. R. Simon, On the power of quantum computation, SIAM J. Comput., 26 (1997), pp. 1474-1483.
-
(1997)
SIAM J. Comput.
, vol.26
, pp. 1474-1483
-
-
Simon, D.R.1
-
49
-
-
0005388418
-
Classical versus quantum communication complexity
-
A. Ta-Shma, Classical versus quantum communication complexity, ACM SIGACT News (Complexity Column 23), 30 (1999), pp. 25-34.
-
(1999)
ACM SIGACT News (Complexity Column 23)
, vol.30
, pp. 25-34
-
-
Ta-Shma, A.1
-
50
-
-
0033700248
-
Characterization of non-deterministic quantum query and quantum communication complexity
-
R. De Wolf, Characterization of non-deterministic quantum query and quantum communication complexity, in Proceedings of the 15th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2000, pp. 271-278.
-
Proceedings of the 15th IEEE Conference on Computational Complexity, IEEE Computer Society, Los Alamitos, CA, 2000
, pp. 271-278
-
-
De Wolf, R.1
-
51
-
-
0037174206
-
Quantum communication and complexity
-
R. De Wolf, Quantum communication and complexity, Theoret. Comput. Sci., 287 (2002), pp. 337-353.
-
(2002)
Theoret. Comput. Sci.
, vol.287
, pp. 337-353
-
-
De Wolf, R.1
-
53
-
-
85039623622
-
Some complexity questions related to distributive computing
-
A. C.-C. Yao, Some complexity questions related to distributive computing, in Proceedings of the 11th ACM Symposium on Theory of Computing, ACM, New York, 1979, pp. 209-213.
-
Proceedings of the 11th ACM Symposium on Theory of Computing, ACM, New York, 1979
, pp. 209-213
-
-
Yao, A.C.-C.1
-
54
-
-
0027873262
-
Quantum circuit complexity
-
A. C.-C. Yao, Quantum circuit complexity, in Proceedings of the 34th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1993, pp. 352-360.
-
Proceedings of the 34th IEEE Symposium on Foundations of Computer Science, IEEE Computer Society, Los Alamitos, CA, 1993
, pp. 352-360
-
-
Yao, A.C.-C.1
|