메뉴 건너뛰기




Volumn 339, Issue 2-3, 2005, Pages 241-256

On the power of Ambainis lower bounds

Author keywords

Lower bound technique; Quantum adversary method; Quantum computing; Quantum query complexity

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTATIONAL COMPLEXITY; ERROR DETECTION; FUNCTIONS; SET THEORY;

EID: 18544371325     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2005.01.019     Document Type: Article
Times cited : (64)

References (31)
  • 3
    • 0042418642 scopus 로고    scopus 로고
    • Quantum lower bounds by quantum arguments
    • A. Ambainis Quantum lower bounds by quantum arguments J. Comput. System Sci. 64 2002 750 767
    • (2002) J. Comput. System Sci. , vol.64 , pp. 750-767
    • Ambainis, A.1
  • 5
    • 0012526951 scopus 로고    scopus 로고
    • Quantum query algorithms and lower bounds
    • to appear
    • A. Ambainis, Quantum query algorithms and lower bounds, Proc. FOTFS III, to appear.
    • Proc. FOTFS III
    • Ambainis, A.1
  • 8
    • 3342887162 scopus 로고    scopus 로고
    • A lower bound on the quantum query complexity of read-once functions
    • H. Barnum, M. Saks. A lower bound on the quantum query complexity of read-once functions, J. Comput. System Sci. 69 (2) (2004) 244-258.
    • (2004) J. Comput. System Sci. , vol.69 , Issue.2 , pp. 244-258
    • Barnum, H.1    Saks, M.2
  • 14
    • 0037048579 scopus 로고    scopus 로고
    • 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 1 2002 21 43
    • (2002) Theoret. Comput. Sci. , vol.288 , Issue.1 , pp. 21-43
    • Buhrman, H.1    De Wolf, R.2
  • 15
    • 0000119236 scopus 로고
    • Rapid solution of problems by quantum computation
    • D. Deutsch, and R. Jozsa Rapid solution of problems by quantum computation Proc. Royal Society of London A 439 1992 553 558
    • (1992) Proc. Royal Society of London A , vol.439 , pp. 553-558
    • Deutsch, D.1    Jozsa, R.2
  • 19
    • 4944231386 scopus 로고    scopus 로고
    • Lower bounds for randomized and quantum query complexity using Kolmogorov arguments
    • Preliminary version at quant-ph/0311189
    • S. Laplante, F. Magniez, Lower bounds for randomized and quantum query complexity using Kolmogorov arguments, Proc. 19th Annu. IEEE Conf. on Computational Complexity, 2004, pp. 294-304. Preliminary version at quant-ph/0311189.
    • (2004) Proc. 19th Annu. IEEE Conf. on Computational Complexity , pp. 294-304
    • Laplante, S.1    Magniez, F.2
  • 20
    • 0032633492 scopus 로고    scopus 로고
    • The quantum query complexity of approximating the median and related statistics
    • A. Nayak, and F. Wu The quantum query complexity of approximating the median and related statistics Proc. 31st Annu. ACM Symp. on the Theory of Computing 1999 384 393
    • (1999) Proc. 31st Annu. ACM Symp. on the Theory of Computing , pp. 384-393
    • Nayak, A.1    Wu, F.2
  • 21
  • 22
    • 0344838471 scopus 로고    scopus 로고
    • Quantum communication complexity of symmetric predicates
    • Izvestiya of the Russian Academy of Science
    • A. Razborov, Quantum communication complexity of symmetric predicates, Izvestiya of the Russian Academy of Science, Mathematics, 2002.
    • (2002) Mathematics
    • Razborov, A.1
  • 25
    • 0036949002 scopus 로고    scopus 로고
    • Quantum lower bounds for the collision and the element distinctness problems
    • Y. Shi Quantum lower bounds for the collision and the element distinctness problems Proc. 43rd Symp. on Foundations of Computer Science 2002 513 519
    • (2002) Proc. 43rd Symp. on Foundations of Computer Science , pp. 513-519
    • Shi, Y.1
  • 26
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial time algorithms for prime factorization and discrete logarithms on a quantum computer
    • P. Shor Polynomial time algorithms for prime factorization and discrete logarithms on a quantum computer SIAM J. Comput. 26 1997 1484 1509
    • (1997) SIAM J. Comput. , vol.26 , pp. 1484-1509
    • Shor, P.1
  • 27
    • 0009438294 scopus 로고    scopus 로고
    • On the power of quantum computation
    • D. Simon On the power of quantum computation SIAM J. Comput. 26 1997 1474 1483
    • (1997) SIAM J. Comput. , vol.26 , pp. 1474-1483
    • Simon, D.1
  • 30
    • 0032313975 scopus 로고    scopus 로고
    • Quantum oracle interrogation: Getting all information for almost half the price
    • W. van Dam Quantum oracle interrogation: getting all information for almost half the price Proc. 39th IEEE Symp. on Foundations of Computer Science 1998 362 367
    • (1998) Proc. 39th IEEE Symp. on Foundations of Computer Science , pp. 362-367
    • Van Dam, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.