Classical and Quantum Computation
Classical and Quantum Computation
Journal of the ACM (JACM)
Finding Optimal Flows Efficiently
ICALP '08 Proceedings of the 35th international colloquium on Automata, Languages and Programming, Part I
Parallelizing quantum circuits
Theoretical Computer Science
Computational model underlying the one-way quantum computer
Quantum Information & Computation
Quantum computing and polynomial equations over the finite field Z2
Quantum Information & Computation
Optimal synthesis of linear reversible circuits
Quantum Information & Computation
An extremal result for geometries in the one-way measurement model
Quantum Information & Computation
Implementation of Shor's algorithm on a linear nearest neighbour qubit array
Quantum Information & Computation
Cluster states, algorithms and graphs
Quantum Information & Computation
Programmable Hamiltonian for One-way Patterns
Electronic Notes in Theoretical Computer Science (ENTCS)
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We introduce techniques to analyze unitary operations in terms of quadratic form expansions , a form similar to a sum over paths in the computational basis where the phase contributed by each path is described by a quadratic form over ***. We show how to relate such a form to an entangled resource akin to that of the one-way measurement model of quantum computing. Using this, we describe various conditions under which it is possible to efficiently implement a unitary operation U , either when provided a quadratic form expansion for U as input, or by finding a quadratic form expansion for U from other input data.