dorsal/arxiv
View SchemaRemarks on Duality Transformations and Generalized Stabilizer States
| Authors | Martin B Plenio |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703007 |
| URL | https://arxiv.org/abs/quant-ph/0703007 |
| DOI | 10.1080/09500340701275774 |
| Journal | J. Mod. Opt. 54, 349 (2007) |
Abstract
We consider the transformation of Hamilton operators under various sets of quantum operations acting simultaneously on all adjacent pairs of particles. We find mappings between Hamilton operators analogous to duality transformations as well as exact characterizations of ground states employing non-Hermitean eigenvalue equations and use this to motivate a generalization of the stabilizer formalism to non-Hermitean operators. The resulting class of states is larger than that of standard stabilizer states and allows for example for continuous variation of local entropies rather than the discrete values taken on stabilizer states and the exact description of certain ground states of Hamilton operators.
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"abstract": "We consider the transformation of Hamilton operators under various sets of\nquantum operations acting simultaneously on all adjacent pairs of particles. We\nfind mappings between Hamilton operators analogous to duality transformations\nas well as exact characterizations of ground states employing non-Hermitean\neigenvalue equations and use this to motivate a generalization of the\nstabilizer formalism to non-Hermitean operators. The resulting class of states\nis larger than that of standard stabilizer states and allows for example for\ncontinuous variation of local entropies rather than the discrete values taken\non stabilizer states and the exact description of certain ground states of\nHamilton operators.",
"arxiv_id": "quant-ph/0703007",
"authors": [
"Martin B Plenio"
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"doi": "10.1080/09500340701275774",
"journal_ref": "J. Mod. Opt. 54, 349 (2007)",
"title": "Remarks on Duality Transformations and Generalized Stabilizer States",
"url": "https://arxiv.org/abs/quant-ph/0703007"
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