We consider the \emph{Hidden Subgroup} in the context of quantum \emph{Ordered Binary Decision Diagrams}.
We show several lower bounds for this function.
In this paper we also consider a slightly more general definition of the
hidden subgroup problem (in contrast to that in \cite{khashsp1}). It turns out that ... more >>>

We present a new algorithm for Unique Games which is based on purely {\em spectral} techniques, in contrast to previous
work in the area, which relies heavily on semidefinite programming (SDP). Given a highly satisfiable instance of Unique Games, our algorithm is able to recover a good assignment.
The approximation ... more >>>

Abstract. We show that oblivious on-line simulation with only
polylogarithmic increase in the time and space requirements is possible
on a probabilistic (coin flipping) RAM without using any cryptographic
assumptions. The simulation will fail with a negligible probability.
If $n$ memory locations are used, then the probability of failure is ... more >>>