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» Quantum Lower Bounds by Polynomials
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STOC
2006
ACM
166views Algorithms» more  STOC 2006»
15 years 12 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»
14 years 10 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»
14 years 11 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»
14 years 11 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, ...