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» Quantum Lower Bounds by Polynomials
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STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 6 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
CORR
2010
Springer
87views Education» more  CORR 2010»
13 years 5 months ago
Quantum money from knots
Quantum money is a cryptographic protocol in which a mint can produce a quantum state, no one else can copy the state, and anyone (with a quantum computer) can verify that the sta...
Edward Farhi, David Gosset, Avinatan Hassidim, And...
CORR
2002
Springer
102views Education» more  CORR 2002»
13 years 6 months ago
Quantum Lower Bound for Recursive Fourier Sampling
One of the earliest quantum algorithms was discovered by Bernstein and Vazirani, for a problem called Recursive Fourier Sampling. This paper shows that the Bernstein-Vazirani algo...
Scott Aaronson
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 6 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, ...