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» Quantum Lower Bounds by Polynomials
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STACS
2000
Springer
13 years 10 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
STACS
2007
Springer
14 years 25 days 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 6 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
STOC
1993
ACM
134views Algorithms» more  STOC 1993»
13 years 10 months ago
Quantum complexity theory
In this paper we study quantum computation from a complexity theoretic viewpoint. Our first result is the existence of an efficient universal quantum Turing machine in Deutsch’s...
Ethan Bernstein, Umesh V. Vazirani
APPML
2007
76views more  APPML 2007»
13 years 6 months ago
A distance bound for pseudospectra of matrix polynomials
In this note, we obtain a lower bound for the distance between the pseudospectrum of a matrix polynomial and a given point that lies out of it, generalizing a known result on pseu...
Panayiotis Psarrakos