dorsal/arxiv
View SchemaEquivalence of Decoupling Schemes and Orthogonal Arrays
| Authors | Martin Roetteler, Pawel Wocjan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409135 |
| URL | https://arxiv.org/abs/quant-ph/0409135 |
| DOI | 10.1109/TIT.2006.880059 |
| Journal | IEEE Transactions on Information Theory 52(9): 4171-4181 (2006) |
Abstract
We consider the problem of switching off unwanted interactions in a given multi-partite Hamiltonian. This is known to be an important primitive in quantum information processing and several schemes have been presented in the literature to achieve this task. A method to construct decoupling schemes for quantum systems of pairwise interacting qubits was introduced by M. Stollsteimer and G. Mahler and is based on orthogonal arrays. Another approach based on triples of Hadamard matrices that are closed under pointwise multiplication was proposed by D. Leung. In this paper, we show that both methods lead to the same class of decoupling schemes. Moreover, we establish a characterization of orthogonal arrays by showing that they are equivalent to decoupling schemes which allow a refinement into equidistant time-slots. Furthermore, we show that decoupling schemes for networks of higher-dimensional quantum systems with t-local Hamiltonians can be constructed from classical error-correcting codes.
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"abstract": "We consider the problem of switching off unwanted interactions in a given\nmulti-partite Hamiltonian. This is known to be an important primitive in\nquantum information processing and several schemes have been presented in the\nliterature to achieve this task. A method to construct decoupling schemes for\nquantum systems of pairwise interacting qubits was introduced by M.\nStollsteimer and G. Mahler and is based on orthogonal arrays. Another approach\nbased on triples of Hadamard matrices that are closed under pointwise\nmultiplication was proposed by D. Leung. In this paper, we show that both\nmethods lead to the same class of decoupling schemes. Moreover, we establish a\ncharacterization of orthogonal arrays by showing that they are equivalent to\ndecoupling schemes which allow a refinement into equidistant time-slots.\nFurthermore, we show that decoupling schemes for networks of higher-dimensional\nquantum systems with t-local Hamiltonians can be constructed from classical\nerror-correcting codes.",
"arxiv_id": "quant-ph/0409135",
"authors": [
"Martin Roetteler",
"Pawel Wocjan"
],
"categories": [
"quant-ph",
"cs.ET"
],
"doi": "10.1109/TIT.2006.880059",
"journal_ref": "IEEE Transactions on Information Theory 52(9): 4171-4181 (2006)",
"title": "Equivalence of Decoupling Schemes and Orthogonal Arrays",
"url": "https://arxiv.org/abs/quant-ph/0409135"
},
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