dorsal/arxiv
View SchemaA General Framework for Recursive Decompositions of Unitary Quantum Evolutions
| Authors | Mehmet Dagli, Domenico D'Alessandro, Jonathan D. H. Smith |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701193 |
| URL | https://arxiv.org/abs/quant-ph/0701193 |
| DOI | 10.1088/1751-8113/41/15/155302 |
Abstract
Decompositions of the unitary group U(n) are useful tools in quantum information theory as they allow one to decompose unitary evolutions into local evolutions and evolutions causing entanglement. Several recursive decompositions have been proposed in the literature to express unitary operators as products of simple operators with properties relevant in entanglement dynamics. In this paper, using the concept of grading of a Lie algebra, we cast these decompositions in a unifying scheme and show how new recursive decompositions can be obtained. In particular, we propose a new recursive decomposition of the unitary operator on $N$ qubits, and we give a numerical example.
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"abstract": "Decompositions of the unitary group U(n) are useful tools in quantum\ninformation theory as they allow one to decompose unitary evolutions into local\nevolutions and evolutions causing entanglement. Several recursive\ndecompositions have been proposed in the literature to express unitary\noperators as products of simple operators with properties relevant in\nentanglement dynamics. In this paper, using the concept of grading of a Lie\nalgebra, we cast these decompositions in a unifying scheme and show how new\nrecursive decompositions can be obtained. In particular, we propose a new\nrecursive decomposition of the unitary operator on $N$ qubits, and we give a\nnumerical example.",
"arxiv_id": "quant-ph/0701193",
"authors": [
"Mehmet Dagli",
"Domenico D\u0027Alessandro",
"Jonathan D. H. Smith"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/41/15/155302",
"title": "A General Framework for Recursive Decompositions of Unitary Quantum Evolutions",
"url": "https://arxiv.org/abs/quant-ph/0701193"
},
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