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Linear optics and quantum maps

2006/11/16 by Andrea Aiello, A. Aiello, Graciana Puentes +2 · 1 citation
Computer Science · Physics and Astronomy · #Classical mechanics #Formalism (music) #Neural Networks and Reservoir Computing #Open quantum system #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum imaging #Quantum mechanics #Quantum optics #Quantum technology #Qubit #quant-ph

paper · pdf · doi:10.1103/physreva.76.032323

13 pages, 8 figures

arxiv created 2006/11/16 · openalex publication_date 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a theoretical analysis of the connection between classical polarization optics and quantum mechanics of two-level systems. First, we review the matrix formalism of classical polarization optics from a quantum information perspective. In this manner the passage from the Stokes-Jones-Mueller description of classical optical processes to the representation of one- and two-qubit quantum operations, becomes straightforward. Second, as a practical application of our classical-vs-quantum formalism, we show how two-qubit maximally entangled mixed states can be generated by using polarization and spatial modes of photons generated via spontaneous parametric down conversion.

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