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ISAAC
2009
Springer
98views Algorithms» more  ISAAC 2009»
14 years 2 months ago
On the Tightness of the Buhrman-Cleve-Wigderson Simulation
Abstract. Buhrman, Cleve and Wigderson gave a general communication protocol for block-composed functions f(g1(x1 , y1 ), · · · , gn(xn , yn )) by simulating a decision tree com...
Shengyu Zhang
FOCS
2009
IEEE
14 years 2 months ago
The Quantum and Classical Complexity of Translationally Invariant Tiling and Hamiltonian Problems
— We study the complexity of a class of problems involving satisfying constraints which remain the same under translations in one or more spatial directions. In this paper, we sh...
Daniel Gottesman, Sandy Irani
FOCS
2000
IEEE
13 years 11 months ago
Succinct quantum proofs for properties of finite groups
In this paper we consider a quantum computational variant of nondeterminism based on the notion of a quantum proof, which is a quantum state that plays a role similar to a certifi...
John Watrous
STACS
2000
Springer
13 years 11 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
FSTTCS
1998
Springer
13 years 12 months ago
Alternative Computational Models: A Comparison of Biomolecular and Quantum Computation
Molecular Computation (MC) is massively parallel computation where data is stored and processed within objects of molecular size. Biomolecular Computation (BMC) is MC using biotec...
John H. Reif