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» Robust Polynomials and Quantum Algorithms
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CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 8 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...
CORR
2000
Springer
81views Education» more  CORR 2000»
13 years 8 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
ICCAD
2007
IEEE
153views Hardware» more  ICCAD 2007»
14 years 5 months ago
Checking equivalence of quantum circuits and states
Among the post-CMOS technologies currently under investigation, quantum computing (QC) holds a special place. QC offers not only extremely small size and low power, but also expon...
George F. Viamontes, Igor L. Markov, John P. Hayes
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 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
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
14 years 3 months ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman