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• W2044112617 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." @default.
• W2044112617 created "2016-06-24" @default.
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• W2044112617 date "2005-11-22" @default.
• W2044112617 modified "2023-10-14" @default.
• W2044112617 title "An algebraic approach to linear-optical schemes for deterministic quantum computing" @default.
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• W2044112617 doi "https://doi.org/10.1088/1464-4266/7/12/038" @default.
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