dorsal/arxiv
View SchemaDecoherence-Free Subspaces in Supersymmetric Oscillator Networks
| Authors | Jeffrey Satinover |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211172 |
| URL | https://arxiv.org/abs/quant-ph/0211172 |
Abstract
Quantum superpositions can be used for parallel information processing, but only if protected against decoherence. A two-particle four-state system may have two-dimensional subspaces that are partially or completely decoherence-free, e.g., the symmetric triplet state as an example of the former, the anti-symmetric singlet state of the latter. By extension, a multiparticle system that in the laboratory basis is plagued by decoherence may in some other basis exhibit the symmetries that yield such decoherence-free subspaces (DFS's). Fully-interacting many-fermion spin 1/2 networks may be mathematically transformed to a more tractable many-to-one (or -to-some) variant. This paper applies such a transformation to a hypothetical network of boson-like operators and then argues that a fully-interacting particle number-preserving network of bosons plus fermions with supersymmetric degrees of freedom may be more plausibly exploited so as to contain DFS's. Physical systems that in some basis are inherently anti-symmetric are already known to be useful for quantum information processing. Supersymmetric systems may be likewise.
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"abstract": "Quantum superpositions can be used for parallel information processing, but\nonly if protected against decoherence. A two-particle four-state system may\nhave two-dimensional subspaces that are partially or completely\ndecoherence-free, e.g., the symmetric triplet state as an example of the\nformer, the anti-symmetric singlet state of the latter. By extension, a\nmultiparticle system that in the laboratory basis is plagued by decoherence may\nin some other basis exhibit the symmetries that yield such decoherence-free\nsubspaces (DFS\u0027s). Fully-interacting many-fermion spin 1/2 networks may be\nmathematically transformed to a more tractable many-to-one (or -to-some)\nvariant. This paper applies such a transformation to a hypothetical network of\nboson-like operators and then argues that a fully-interacting particle\nnumber-preserving network of bosons plus fermions with supersymmetric degrees\nof freedom may be more plausibly exploited so as to contain DFS\u0027s. Physical\nsystems that in some basis are inherently anti-symmetric are already known to\nbe useful for quantum information processing. Supersymmetric systems may be\nlikewise.",
"arxiv_id": "quant-ph/0211172",
"authors": [
"Jeffrey Satinover"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"title": "Decoherence-Free Subspaces in Supersymmetric Oscillator Networks",
"url": "https://arxiv.org/abs/quant-ph/0211172"
},
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