Reducing the complexity of linear optics quantum circuits

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 5, 2000, Pages 523031-523035

  Howell, John C ^a   Yeazell, John A ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006235184     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.61.052303     Document Type: Article

References (14)

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5. For example, a three-bit Toffoli gate, which uses only spatial degrees of freedom, can be constructed by crossing the 111 and 110 paths and then relabeling the paths. A three-bit Fredkin gate, which uses only spatial degrees of freedom, can be constructed by crossing the 110 and 101 paths and relabeling the paths. Any phase gate can be realized by placing phase shifters in the appropriate paths. In a scheme where two of the bits are represented by spatial degrees of freedom and one of the bits is represented by the polarization degrees of freedom, a Deutsch gate can be realized by placing a polarization rotator in the 11 path. Other combinations of the Toffoli and Fredkin gates exist and all of them only require a single unitary operation.
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