Entanglement of Gaussian states using a beam splitter

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

  Tahira, Rabia ^a   Ikram, Manzoor ^a   Nha, Hyunchul ^b   Zubairy, M Suhail ^a,b,c  

^a Department of Electrical Computer Engineering   (Pakistan)

^b TEXAS A AND M UNIVERSITY AT QATAR   (Qatar)

^c TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL BEAM SPLITTERS; OPTICAL INSTRUMENTS; PARTICLE BEAMS; PRISMS; QUANTUM OPTICS; TRELLIS CODES;

A THERMALS; BEAM SPLITTERS; DEGREE OF ENTANGLEMENTS; ENTANGLEMENT GENERATIONS; EXPERIMENTAL CONDITIONS; EXPERIMENTAL SCHEMES; GAUSSIAN; GAUSSIAN STATE; INPUT MODES; MODE ENTANGLED STATE; NON CLASSICALITIES; SINGLE MODES; SQUEEZED STATE;

GAUSSIAN BEAMS;

EID: 62549161748     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.023816     Document Type: Article

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46. Furthermore, the convolution of two P functions, P (η) = d2 ζ P1 (ζ) P2 (η-ζ) as in Eq. 6, which reads as C (ξ) = e1/2 |ξ| 2 C1 (ξ) C2 (ξ) at the level of characteristic function, does not necessarily represent a physical state. For example, take one-photon Fock states, ρ1,2 = |1 1|. It is straightforward, using the method described in, to obtain the resulting quasidensity operator as ρ= |0 0| -2 |1 1| +2 |2 2|, which is unphysical.