Robust and parsimonious realisations of unitaries in the one-way model

Details Robust and parsimonious realisations of unitaries in the one-way model Robust and parsimonious realisations of unitaries in the one-way model

2004-11-10

arxiv.org/abs/quant-ph/0411071v1

Physics

Quantum Physics

8 pages, 2 figures, keywords: unitary transformations, measurement-based quantum computing

Scientific paper

We present a new set of generators for unitary maps over \otimes^n(C^2) which differs from the traditional rotation-based generating set in that it uses a single-parameter family of 1-qubit unitaries J(a), together with a single 2-qubit unitary controlled-Z. Each generator is implementable in the one-way model using only two qubits, and this leads to both parsimonious and robust implementations of general unitaries. As an illustration, we give an implementation of the controlled-U family which uses only 14 qubits, and has a 2-colourable underlying entanglement graph (known to yield robust entangled states).

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