Examples of Gaussian cluster computation

Journal of the Optical Society of America B: Optical Physics

Volumn 24, Issue 2, 2007, Pages 340-346

  van Loock, Peter ^a  

^a NATIONAL INSTITUTE OF INFORMATICS   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CLUSTER ANALYSIS; GAUSSIAN DISTRIBUTION; NETWORK PROTOCOLS;

GAUSSIAN CONTINUOUS-VARIABLE CLUSTER STATES; GAUSSIAN SINGLE-MODE TRANSFORMATIONS;

QUANTUM COMPUTERS;

EID: 33947191911     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.24.000340     Document Type: Article

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25. Usually, the quantum optical phase-space displacement operator D(α)=exp(αâ±-α*â) is used to describe the displacements in Alice's measurement basis and Bob's correction operation for continuous-variable quantum teleportation. Here, we prefer to stick to the WH group elements, where Z(v)X(u) differs from D(α) only by a global phase with α=u+iv. Alice's measurement basis is then described by [Z(v)X(u)⊗l]∫dx x〉 x〉/√π. Bob's correction operation would be Z(v)X(u) in this case. In a communication rather than computation scenario where Alice and Bob are spatially separated, of course, Alice needs to send the results u and v to Bob via a classical channel.