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Determining Acceptance Possibility for a Quantum (2000)  (Make Corrections)  
Computation is Hard for the Polynomial Hierarchy Stephen Fenner University...



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Abstract: It is shown that determining whether a quantum computation has a non-zero probability of accepting is at least as hard as the polynomial time hierarchy. This hardness result also applies to determining in general whether a given quantum basis state appears with nonzero amplitude in a superposition, or whether a given quantum bit has positive expectation value at the end of a quantum computation. This result is achieved by showing that the complexity class NQP of Adleman, Demarrais, and Huang... (Update)

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BibTeX entry:   (Update)

@misc{ hard-determining,
  author = "Computation Is Hard",
  title = "Determining Acceptance Possibility for a Quantum",
  url = "citeseer.ist.psu.edu/713923.html" }
Citations (may not include all citations):
173   Quantum Complexity Theory - Bernstein, Vazirani - 1997
168   Algorithms for quantum computation: Discrete logarithms and .. - Shor - 1994
144   the power of quantum computation - Simon - 1997
126   PP is as hard as the polynomial-time hierarchy (context) - Toda - 1991
126   Rapid solutions of problems by quantum computation (context) - Deutsch, Jozsa - 1992
86   Gap-definable counting classes - Fenner, Fortnow et al. - 1994
53   Counting classes are at least as hard as the polynomial-time.. (context) - Toda, Ogiwara - 1992
45   Quantum computation - Berthiaume - 1997
44   The Graph Isomorphism Problem: Its Structural Complexity (context) - Kobler, Schoning et al. - 1993
42   The quantum challenge to structural complexity theory - Berthiaume, Brassard - 1992
36   Complexity limitations on quantum computation - Fortnow, Rogers - 1998
34   Quantum mechanical hamiltonian models of turing machines (context) - Benioff - 1982
24   volume 11 of EATCS Monographs on Theoretical Computer Scienc.. (context) - Balc'azar, 'iaz et al. - 1988
20   SIAM Journal on Computing (context) - Adleman, DeMarrais et al. - 1997
18   Counting Complexity - Fortnow - 1997
14   Polynomial-time algorithms for prime number factorization an.. (context) - Shor - 1997
13   Theoretical Computer Science (context) - Tarui, AC et al. - 1993
13   Strengths and weaknesses of quantum computation (context) - Bennett, Bernstein et al. - 1997
12   Complexity classes defined bycounting quantifiers (context) - Tor'an - 1991
9   The Power of Counting (context) - Schoning - 1990
9   and the universal quantum computer (context) - Deutsch, the - 1985
7   Quantum NP is Hard for PH - Fenner, Green et al. - 1998
3   Private communication (context) - Watrous - 1997
2   The complexityofcombinatorial problems with succinct input r.. (context) - Wagner - 1986
2   Los Alamos Archive for Quantum Physics (context) - Yamakami, Yao et al.
1   InProceedings of the 34th IEEE SymposiumonFoundations of Com.. (context) - Yao, complexity - 1993

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