51 search results - page 1 / 11 » Quantum lower bounds for the Goldreich-Levin problem |
IPL
2006
13 years 10 months ago
2006
At the heart of the Goldreich-Levin Theorem is the problem of determining an n-bit string a by making queries to two oracles, referred to as IP (inner product) and EQ (equivalence...
FOCS
2003
IEEE
14 years 4 months ago
2003
IEEE
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
ECCC
2008
13 years 11 months ago
2008
We obtain the first nontrivial time-space lower bound for quantum algorithms solving problems related to satisfiability. Our bound applies to MajSAT and MajMajSAT, which are compl...
STOC
2004
ACM
14 years 11 months ago
2004
ACM
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
STOC
2002
ACM
14 years 11 months ago
2002
ACM
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...