Manipulation of single-photon states encoded in transverse spatial modes : possible and impossible tasks
Fernández Calvo, Gabriel (Universitat Autònoma de Barcelona. Departament de Física)
Picón Álvarez, Antonio (Universitat Autònoma de Barcelona. Departament de Física)
American Physical Society

Date:	2008
Abstract:	Controlled generation and manipulation of photon states encoded in their spatial degrees of freedom is a crucial ingredient in many quantum-information tasks exploiting higher-than-two dimensional encoding. Here, we prove the impossibility to arbitrarily modify d-level state superpositions (qudits) for d>2, encoded in the transverse modes of light, with optical components associated to the group of symplectic transforms (Gaussian operations). Surprisingly, we also provide an explicit construction of how non-Gaussian operations acting on mode subspaces do enable one to overcome the limit d=2. In addition, this set of operations realizes the full SU(3) algebra.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Physical review. A, Vol. 77, Issue 1 (January 2008) , p. 012302-1-012302-7, ISSN 1050-2947

DOI: 10.1103/PhysRevA.77.012302

7 p, 1.5 MB

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