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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > FREDERIC GREEN:
All reports by Author Frederic Green:

TR08-078 | 15th April 2008
Debajyoti Bera, Stephen A. Fenner, Frederic Green, Steve Homer

Universal Quantum Circuits

Abstract:We define and construct efficient depth-universal and almost-size-universal quantum circuits. Such circuits can be viewed as general-purpose simulators for central classes of quantum circuits and can be used to capture the computational power of the circuit class being simulated. For depth we construct universal circuits whose depth is the same ... more >>>


TR99-003 | 18th December 1998
Stephen A. Fenner, Frederic Green, Steven Homer, Randall Pruim

Determining Acceptance Possibility for a Quantum Computation is Hard for the Polynomial Hierarchy

It is shown that determining whether a quantum computation
has a non-zero probability of accepting is at least as hard as the
polynomial time hierarchy. This hardness result also applies to
determining in general whether a given quantum basis state appears
with nonzero amplitude in a superposition, or whether a ... more >>>


TR95-027 | 30th May 1995
Frederic Green

Lower Bounds for Circuits with Mod Gates and One Exact Threshold Gate

We say an integer polynomial $p$, on Boolean inputs, weakly
$m$-represents a Boolean function $f$ if $p$ is non-constant and is zero (mod
$m$), whenever $f$ is zero. In this paper we prove that if a polynomial
weakly $m$-represents the Mod$_q$ function on $n$ inputs, where $q$ and $m$
more >>>




ISSN 1433-8092 | Imprint