dorsal/arxiv
View SchemaRobust and parsimonious realisations of unitaries in the one-way model
| Authors | Vincent Danos, Elham Kashefi, Prakash Panangaden |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411071 |
| URL | https://arxiv.org/abs/quant-ph/0411071 |
| DOI | 10.1103/PhysRevA.72.064301 |
Abstract
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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"date_created": "2026-03-02T18:02:13.259000Z",
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"abstract": "We present a new set of generators for unitary maps over \\otimes^n(C^2) which\ndiffers from the traditional rotation-based generating set in that it uses a\nsingle-parameter family of 1-qubit unitaries J(a), together with a single\n2-qubit unitary controlled-Z.\n Each generator is implementable in the one-way model using only two qubits,\nand this leads to both parsimonious and robust implementations of general\nunitaries. As an illustration, we give an implementation of the controlled-U\nfamily which uses only 14 qubits, and has a 2-colourable underlying\nentanglement graph (known to yield robust entangled states).",
"arxiv_id": "quant-ph/0411071",
"authors": [
"Vincent Danos",
"Elham Kashefi",
"Prakash Panangaden"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.064301",
"title": "Robust and parsimonious realisations of unitaries in the one-way model",
"url": "https://arxiv.org/abs/quant-ph/0411071"
},
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"type": "Model",
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