dorsal/arxiv
View SchemaHolonomic Quantum Computation
| Authors | Paolo Zanardi, Mario Rasetti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9904011 |
| URL | https://arxiv.org/abs/quant-ph/9904011 |
| DOI | 10.1016/S0375-9601(99)00803-8 |
| Journal | Phys.Lett. A264 (1999) 94-99 |
Abstract
We show that the notion of generalized Berry phase i.e., non-abelian holonomy, can be used for enabling quantum computation. The computational space is realized by a $n$-fold degenerate eigenspace of a family of Hamiltonians parametrized by a manifold $\cal M$. The point of $\cal M$ represents classical configuration of control fields and, for multi-partite systems, couplings between subsystem. Adiabatic loops in the control $\cal M$ induce non trivial unitary transformations on the computational space. For a generic system it is shown that this mechanism allows for universal quantum computation by composing a generic pair of loops in $\cal M.$
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"abstract": "We show that the notion of generalized Berry phase i.e., non-abelian\nholonomy, can be used for enabling quantum computation. The computational space\nis realized by a $n$-fold degenerate eigenspace of a family of Hamiltonians\nparametrized by a manifold $\\cal M$. The point of $\\cal M$ represents classical\nconfiguration of control fields and, for multi-partite systems, couplings\nbetween subsystem. Adiabatic loops in the control $\\cal M$ induce non trivial\nunitary transformations on the computational space. For a generic system it is\nshown that this mechanism allows for universal quantum computation by composing\na generic pair of loops in $\\cal M.$",
"arxiv_id": "quant-ph/9904011",
"authors": [
"Paolo Zanardi",
"Mario Rasetti"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1016/S0375-9601(99)00803-8",
"journal_ref": "Phys.Lett. A264 (1999) 94-99",
"title": "Holonomic Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/9904011"
},
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