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» Quantum Algorithmic Entropy
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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
16 years 6 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
ICALP
2004
Springer
15 years 11 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...
RTSS
1998
IEEE
15 years 10 months ago
Efficient Object Sharing in Quantum-Based Real-Time Systems
We consider the problem of implementing shared objects in uniprocessor and multiprocessor real-time systems in which tasks are executed using a scheduling quantum. In most quantum...
James H. Anderson, Rohit Jain, Kevin Jeffay
CORR
2000
Springer
81views Education» more  CORR 2000»
15 years 5 months ago
Poly-locality in quantum computing
A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state space. It is a reasonable belief [Fe], [L], [FKW] that, at ...
Michael H. Freedman
STOC
2009
ACM
107views Algorithms» more  STOC 2009»
16 years 6 months ago
Efficient discrete-time simulations of continuous-time quantum query algorithms
The continuous-time query model is a variant of the discrete query model in which queries can be interleaved with known operations (called "driving operations") continuo...
Richard Cleve, Daniel Gottesman, Michele Mosca, Ro...