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ICALP
2004
Springer
14 years 4 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
FCT
2007
Springer
14 years 5 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
FOCS
2009
IEEE
14 years 5 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
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
14 years 8 months ago
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a p...
Rahul Jain, Zhengfeng Ji, Sarvagya Upadhyay and Jo...
CORR
2010
Springer
83views Education» more  CORR 2010»
13 years 11 months ago
Investigating the Performance of an Adiabatic Quantum Optimization Processor
We calculate median adiabatic times (in seconds) of a specific superconducting adiabatic quantum processor for an NP-hard Ising spin glass instance class with up to N = 128 binary ...
Geordie Rose, Kamran Karimi, Neil G. Dickson, Fira...