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CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 7 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, ...
ICIC
2007
Springer
14 years 1 months ago
Quantum Integration Error on Some Classes of Multivariate Functions
Abstract. We study the approximation of the integration of multivariate functions classes in the quantum model of computation. We first obtain a lower bound of the n-th minimal qu...
Peixin Ye, Qing He
QCQC
1998
Springer
115views Communications» more  QCQC 1998»
13 years 11 months ago
Quantum Entanglement and the Communication Complexity of the Inner Product Function
Abstract. We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of partic...
Richard Cleve, Wim van Dam, Michael Nielsen, Alain...
STACS
2007
Springer
14 years 1 months ago
A New Rank Technique for Formula Size Lower Bounds
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
Troy Lee
CC
2006
Springer
125views System Software» more  CC 2006»
13 years 7 months ago
A tight lower bound for restricted pir protocols
We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are 1-bit long must ask questions that are at least n - 2 bits long, which is nearly equa...
Richard Beigel, Lance Fortnow, William I. Gasarch