dorsal/arxiv
View SchemaAn Algebraic Approach to Linear-Optical Schemes for Deterministic Quantum Computing
| Authors | P. Aniello, R. Coen Cagli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504108 |
| URL | https://arxiv.org/abs/quant-ph/0504108 |
| DOI | 10.1088/1464-4266/7/12/038 |
| Journal | J.Opt.B Quant.Semiclass.Opt. 7 (2005) S711-S720 |
Abstract
Linear-Optical Passive (LOP) devices and photon counters are sufficient to implement universal quantum computation with single photons, and particular schemes have already been proposed. In this paper we discuss the link between the algebraic structure of LOP transformations and quantum computing. We first show how to decompose the Fock space of N optical modes in finite-dimensional subspaces that are suitable for encoding strings of qubits and invariant under LOP transformations (these subspaces are related to the spaces of irreducible unitary representations of U(N)). Next we show how to design in algorithmic fashion LOP circuits which implement any quantum circuit deterministically. We also present some simple examples, such as the circuits implementing a CNOT gate and a Bell-State Generator/Analyzer.
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"abstract": "Linear-Optical Passive (LOP) devices and photon counters are sufficient to\nimplement universal quantum computation with single photons, and particular\nschemes have already been proposed. In this paper we discuss the link between\nthe algebraic structure of LOP transformations and quantum computing. We first\nshow how to decompose the Fock space of N optical modes in finite-dimensional\nsubspaces that are suitable for encoding strings of qubits and invariant under\nLOP transformations (these subspaces are related to the spaces of irreducible\nunitary representations of U(N)). Next we show how to design in algorithmic\nfashion\n LOP circuits which implement any quantum circuit deterministically. We also\npresent some simple examples, such as the circuits implementing a CNOT gate and\na Bell-State Generator/Analyzer.",
"arxiv_id": "quant-ph/0504108",
"authors": [
"P. Aniello",
"R. Coen Cagli"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/7/12/038",
"journal_ref": "J.Opt.B Quant.Semiclass.Opt. 7 (2005) S711-S720",
"title": "An Algebraic Approach to Linear-Optical Schemes for Deterministic Quantum Computing",
"url": "https://arxiv.org/abs/quant-ph/0504108"
},
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