We develop quantum fingerprinting technique for constructing quantum
branching programs (QBPs), which are considered as circuits with an
ability to use classical bits as control variables.

We demonstrate our approach constructing optimal quantum ordered
binary decision diagram (QOBDD) for $MOD_m$ and $DMULT_n$ Boolean
functions. The construction of our technique also ... more >>>

A merger is a probabilistic procedure which extracts the
randomness out of any (arbitrarily correlated) set of random
variables, as long as one of them is uniform. Our main result is
an efficient, simple, optimal (to constant factors) merger, which,
for $k$ random vairables on $n$ bits each, uses a ... more >>>

Representations of Boolean functions by real polynomials
play an important role in complexity theory. Typically,
one is interested in the least degree of a polynomial
p(x_1,...,x_n) that approximates or sign-represents
a given Boolean function f(x_1,...,x_n). This article
surveys a new and growing body of work in communication
complexity that centers ... more >>>