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Volumn , Issue , 2010, Pages 77-86

A strong direct product theorem for disjointness

Author keywords

communication complexity; communication space tradeoffs; complexity theory; direct product theorems; disjointness problem; lower bounds

Indexed keywords

COMMUNICATION COMPLEXITY; COMPLEXITY THEORY; DIRECT PRODUCT; DISJOINTNESS; LOWER BOUNDS;

EID: 77954718012     PISSN: 07378017     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1806689.1806702     Document Type: Conference Paper
Times cited : (64)

References (40)
  • 1
    • 84860707636 scopus 로고    scopus 로고
    • Quantum search of spatial regions
    • quant-ph/0303041
    • S. Aaronson and A. Ambainis. Quantum search of spatial regions. In Proceedings of 44th IEEE FOCS, pages 200-209, 2003. quant-ph/0303041.
    • (2003) Proceedings of 44th IEEE FOCS , pp. 200-209
    • Aaronson, S.1    Ambainis, A.2
  • 2
    • 0025721499 scopus 로고
    • A time-space tradeoff for Boolean matrix multiplication
    • K. Abrahamson. A time-space tradeoff for Boolean matrix multiplication. In Proceedings of 31st IEEE FOCS, pages 412-419, 1990.
    • (1990) Proceedings of 31st IEEE FOCS , pp. 412-419
    • Abrahamson, K.1
  • 3
    • 67650661204 scopus 로고    scopus 로고
    • A New Quantum Lower Bound Method, with Applications to Direct Product Theorems and Time-Space Tradeoffs
    • Andris Ambainis, Robert Spalek, Ronald de Wolf. A New Quantum Lower Bound Method, with Applications to Direct Product Theorems and Time-Space Tradeoffs. InAlgorithmica, 55(3): 422-461, 2009.
    • (2009) Algorithmica , vol.55 , Issue.3 , pp. 422-461
    • Ambainis, A.1    Spalek, R.2    De Wolf, R.3
  • 4
    • 0022877553 scopus 로고
    • Complexity classes in communication complexity theory
    • L. Babai, P. Frankl, and J. Simon. Complexity classes in communication complexity theory. In Proceedings of 27th IEEE FOCS, pages 337-347, 1986.
    • (1986) Proceedings of 27th IEEE FOCS , pp. 337-347
    • Babai, L.1    Frankl, P.2    Simon, J.3
  • 5
    • 3042569519 scopus 로고    scopus 로고
    • An information statistics approach to data stream and communication complexity
    • Ziv Bar-Yossef, T. S. Jayram, Ravi Kumar, D. Sivakumar. An information statistics approach to data stream and communication complexity. In J. Comput. Syst. Sci., 68(4): 702-772, 2004.
    • (2004) J. Comput. Syst. Sci. , vol.68 , Issue.4 , pp. 702-772
    • Bar-Yossef, Z.1    Jayram, T.S.2    Kumar, R.3    Sivakumar, D.4
  • 7
    • 0028454911 scopus 로고
    • Communication-space tradeoffs for unrestricted protocols
    • P. Beame, M. Tompa, and P. Yan. Communication-space tradeoffs for unrestricted protocols. SIAM Journal on Computing, 23(3):652-661, 1994.
    • (1994) SIAM Journal on Computing , vol.23 , Issue.3 , pp. 652-661
    • Beame, P.1    Tompa, M.2    Yan, P.3
  • 8
    • 34249038028 scopus 로고    scopus 로고
    • A Strong Direct Product Theorem for Corruption and the Multiparty Communication Complexity of Disjointness
    • Paul Beame, Toniann Pitassi, Nathan Segerlind, Avi Wigderson. A Strong Direct Product Theorem for Corruption and the Multiparty Communication Complexity of Disjointness. In Computational Complexity, 15(4): 391-432, 2006.
    • (2006) Computational Complexity , vol.15 , Issue.4 , pp. 391-432
    • Beame, P.1    Pitassi, T.2    Segerlind, N.3    Wigderson, A.4
  • 9
    • 57949116863 scopus 로고    scopus 로고
    • A Hypercontractive Inequality for Matrix-Valued Functions with Applications to Quantum Computing and LDCs
    • Avraham Ben-Aroya, Oded Regev, Ronald de Wolf. A Hypercontractive Inequality for Matrix-Valued Functions with Applications to Quantum Computing and LDCs. In FOCS 2008, pages 477-486, 2008.
    • (2008) FOCS 2008 , pp. 477-486
    • Ben-Aroya, A.1    Regev, O.2    De Wolf, R.3
  • 10
    • 77952387031 scopus 로고    scopus 로고
    • Multiparty Communication Complexity of Disjointness
    • A. Chattopadhyay, A. Ada. Multiparty Communication Complexity of Disjointness. ECCC Technical Report 15(002), 2008.
    • (2008) ECCC Technical Report , vol.15 , Issue.2
    • Chattopadhyay, A.1    Ada, A.2
  • 11
    • 51849156726 scopus 로고    scopus 로고
    • Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized
    • R. Impagliazzo, R. Jaiswal, V. Kabanets, A. Wigderson. Uniform Direct Product Theorems: Simplified, Optimized, and Derandomized. In: STOC 2008, pages 579-588, 2008.
    • (2008) STOC 2008 , pp. 579-588
    • Impagliazzo, R.1    Jaiswal, R.2    Kabanets, V.3    Wigderson, A.4
  • 12
    • 57049147509 scopus 로고    scopus 로고
    • Direct product theorems for classical communication complexity via subdistribution bounds
    • Rahul Jain, Hartmut Klauck, Ashwin Nayak. Direct product theorems for classical communication complexity via subdistribution bounds. In: STOC 2008, pages 599-608, 2008.
    • (2008) STOC 2008 , pp. 599-608
    • Jain, R.1    Klauck, H.2    Nayak, A.3
  • 13
    • 77955250891 scopus 로고    scopus 로고
    • The Partition Bound for Classical Communication Complexity and Query Complexity
    • To appear in. See arXiv:0910.4266
    • Rahul Jain, Hartmut Klauck. The Partition Bound for Classical Communication Complexity and Query Complexity. To appear in IEEE Conference on Computational Complexity 2010. See arXiv:0910.4266.
    • IEEE Conference on Computational Complexity 2010
    • Jain, R.1    Klauck, H.2
  • 14
    • 0038784485 scopus 로고    scopus 로고
    • Two applications of information complexity
    • T. S. Jayram, Ravi Kumar, D. Sivakumar. Two applications of information complexity. In STOC 2003, pages 673-682, 2003.
    • (2003) STOC 2003 , pp. 673-682
    • Jayram, T.S.1    Kumar, R.2    Sivakumar, D.3
  • 16
    • 0028518133 scopus 로고
    • Non-Deterministic Communication Complexity with Few Witnesses
    • Mauricio Karchmer, Ilan Newman, Michael E. Saks, Avi Wigderson. Non-Deterministic Communication Complexity with Few Witnesses. In J. Comput. Syst. Sci., 49(2): 247-257, 1994.
    • (1994) J. Comput. Syst. Sci. , vol.49 , Issue.2 , pp. 247-257
    • Karchmer, M.1    Newman, I.2    Michael, E.3    Saks, A.W.4
  • 17
    • 0040362362 scopus 로고
    • Fractional Covers and Communication Complexity
    • Mauricio Karchmer, Eyal Kushilevitz, Noam Nisan. Fractional Covers and Communication Complexity. In SIAM J. Discrete Math., 8(1): 76-92, 1995.
    • (1995) SIAM J. Discrete Math. , vol.8 , Issue.1 , pp. 76-92
    • Karchmer, M.1    Kushilevitz, E.2    Nisan, N.3
  • 18
    • 0042515224 scopus 로고    scopus 로고
    • Rectangle Size Bounds and Threshold Covers in Communication Complexity
    • Hartmut Klauck. Rectangle Size Bounds and Threshold Covers in Communication Complexity. In: IEEE Conference on Computational Complexity 2003, pages 118-134, 2003.
    • (2003) IEEE Conference on Computational Complexity 2003 , pp. 118-134
    • Klauck, H.1
  • 19
    • 35048835341 scopus 로고    scopus 로고
    • Quantum and Classical Communication-Space Tradeoffs from Rectangle Bounds
    • Hartmut Klauck. Quantum and Classical Communication-Space Tradeoffs from Rectangle Bounds. In FSTTCS 2004, pages 384-395, 2004.
    • (2004) FSTTCS 2004 , pp. 384-395
    • Klauck, H.1
  • 20
    • 38149078000 scopus 로고    scopus 로고
    • Lower bounds for quantum communication complexity
    • DOI 10.1137/S0097539702405620
    • Hartmut Klauck. Lower Bounds for Quantum Communication Complexity. SIAM J. Comput., 37(1): 20-46, 2007. (Pubitemid 351321986)
    • (2007) SIAM Journal on Computing , vol.37 , Issue.1 , pp. 20-46
    • Klauck, H.1
  • 21
    • 35448953473 scopus 로고    scopus 로고
    • Quantum and classical strong direct product theorems and optimal time-space tradeoffs
    • DOI 10.1137/05063235X
    • Hartmut Klauck, Robert Spalek, Ronald de Wolf. Quantum and Classical Strong Direct Product Theorems and Optimal Time-Space Tradeoffs. In SIAM J. Comput., 36(5): 1472-1493, 2007. (Pubitemid 47632456)
    • (2006) SIAM Journal on Computing , vol.36 , Issue.5 , pp. 1472-1493
    • Klauck, H.1    Spalek, R.2    De Wolf, R.3
  • 23
    • 0027066563 scopus 로고
    • Trade-offs between communication and space
    • Earlier version in STOC'89
    • T.W. Lam, P. Tiwari, and M. Tompa. Trade-offs between communication and space. Journal of Computer and Systems Sciences, 45(3):296-315, 1992. Earlier version in STOC'89.
    • (1992) Journal of Computer and Systems Sciences , vol.45 , Issue.3 , pp. 296-315
    • Lam, T.W.1    Tiwari, P.2    Tompa, M.3
  • 25
    • 68149169176 scopus 로고    scopus 로고
    • Disjointness is Hard in the Multiparty Number-on-the-Forehead Model
    • Troy Lee, Adi Shraibman. Disjointness is Hard in the Multiparty Number-on-the-Forehead Model. Computational Complexity, 18(2): 309-336, 2009.
    • (2009) Computational Complexity , vol.18 , Issue.2 , pp. 309-336
    • Lee, T.1    Shraibman, A.2
  • 26
    • 67649118164 scopus 로고    scopus 로고
    • Lower bounds in communication complexity based on factorization norms
    • Nati Linial, Adi Shraibman. Lower bounds in communication complexity based on factorization norms. Random Struct. Algorithms, 34(3), pages 368-394, 2009.
    • (2009) Random Struct. Algorithms , vol.34 , Issue.3 , pp. 368-394
    • Linial, N.1    Shraibman, A.2
  • 27
    • 0003234791 scopus 로고
    • Communication Complexity: A Survey
    • edited by B. H. Korte, Springer
    • L. Lovász. Communication Complexity: A Survey. In Paths, Flows, and VLSI Layout, edited by B. H. Korte, Springer, 1990.
    • (1990) Paths, Flows, and VLSI Layout
    • Lovász, L.1
  • 29
    • 0000607672 scopus 로고
    • On the degree of Boolean functions as real polynomials
    • Earlier version in STOC'92
    • N. Nisan and M. Szegedy. On the degree of Boolean functions as real polynomials. Computational Complexity, 4(4):301-313, 1994. Earlier version in STOC'92.
    • (1994) Computational Complexity , vol.4 , Issue.4 , pp. 301-313
    • Nisan, N.1    Szegedy, M.2
  • 30
    • 0030671785 scopus 로고    scopus 로고
    • Direct product results and the GCD problem, in old and new communication models
    • I. Parnafes, R. Raz, and A. Wigderson. Direct product results and the GCD problem, in old and new communication models. In Proceedings of 29th ACM STOC, pages 363-372, 1997.
    • (1997) Proceedings of 29th ACM STOC , pp. 363-372
    • Parnafes, I.1    Raz, R.2    Wigderson, A.3
  • 31
    • 0026990361 scopus 로고
    • On the distributional complexity of disjointness
    • A. Razborov. On the distributional complexity of disjointness. Theoretical Computer Science, 106(2):385-390, 1992.
    • (1992) Theoretical Computer Science , vol.106 , Issue.2 , pp. 385-390
    • Razborov, A.1
  • 32
    • 0344838471 scopus 로고    scopus 로고
    • Quantum communication complexity of symmetric predicates
    • quant-ph/0204025
    • A. Razborov. Quantum communication complexity of symmetric predicates. Izvestiya of the Russian Academy of Science, mathematics, 67(1):159-176, 2003. quant-ph/0204025.
    • (2003) Izvestiya of the Russian Academy of Science, Mathematics , vol.67 , Issue.1 , pp. 159-176
    • Razborov, A.1
  • 34
    • 57049164391 scopus 로고    scopus 로고
    • The pattern matrix method for lower bounds on quantum communication
    • Alexander A. Sherstov. The pattern matrix method for lower bounds on quantum communication. STOC 2008, pages 85-94, 2008.
    • (2008) STOC 2008 , pp. 85-94
    • Sherstov, A.A.1
  • 35
    • 77952360334 scopus 로고    scopus 로고
    • A Probabilistic Inequality with Applications to Threshold Direct-product Theorems
    • Falk Unger. A Probabilistic Inequality with Applications to Threshold Direct-product Theorems. FOCS 2009, 2009.
    • (2009) FOCS 2009
    • Unger, F.1
  • 37
    • 74549191037 scopus 로고    scopus 로고
    • Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols
    • Emanuele Viola, Avi Wigderson. Norms, XOR Lemmas, and Lower Bounds for Polynomials and Protocols. In Theory of Computing 4(1): 137-168, 2008.
    • (2008) Theory of Computing , vol.4 , Issue.1 , pp. 137-168
    • Viola, E.1    Wigderson, A.2
  • 38
    • 85039623622 scopus 로고
    • Some Complexity Questions Related to Distributive Computing
    • A. C-C. Yao. Some Complexity Questions Related to Distributive Computing . In Proceedings of STOC 1979, pages 209-213, 1979.
    • (1979) Proceedings of STOC 1979 , pp. 209-213
    • Yao, A.C.-C.1
  • 39
    • 0020301290 scopus 로고
    • Theory and applications of trapdoor functions
    • A. C-C. Yao. Theory and applications of trapdoor functions. In Proceedings of 23rd IEEE FOCS, pages 80-91, 1982.
    • (1982) Proceedings of 23rd IEEE FOCS , pp. 80-91
    • Yao, A.C.-C.1


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