15 citations · 36 across the 7 of their papers we have counts for
10 papers
Quantum algorithms for a set of group theoretic problems
Stephen Fenner, Yong Zhang
We study two group theoretic problems, GROUP INTERSECTION and DOUBLE COSET MEMBERSHIP, in the setting of black-box groups, where DOUBLE COSET MEMBERSHIP generalizes a set of proble…
A note on the classical lower bound for a quantum walk algorithm
Stephen A. Fenner, Yong Zhang
A recent paper on quantum walks by Childs et al. [STOC'03] provides an example of a black-box problem for which there is a quantum algorithm with exponential speedup over the best…
Bounds on the Power of Constant-Depth Quantum Circuits
Stephen Fenner, Frederic Green, Steven Homer +1
We show that if a language is recognized within certain error bounds by constant-depth quantum circuits over a finite family of gates, then it is computable in (classical) polynomi…
Quantum Lower Bounds for Fanout
Maosen Fang, Stephen Fenner, Frederic Green +2
We prove several new lower bounds for constant depth quantum circuits. The main result is that parity (and hence fanout) requires log depth circuits, when the circuits are composed…
Implementing the fanout gate by a Hamiltonian
Stephen A. Fenner
We show that, for even n, evolving n qubits according to a simple Hamiltonian can be used to exactly implement an (n+1)-qubit parity gate, which is equivalent in constant depth to…
A Physics-Free Introduction to the Quantum Computation Model
Stephen A. Fenner
This article defines and proves basic properties of the standard quantum circuit model of computation. The model is developed abstractly in close analogy with (classical) determini…