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Volumn 67, Issue 6, 2003, Pages 623081-6230815

Construction of extremal local positive-operator-valued measures under symmetry

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; MATRIX ALGEBRA; PROBABILITY;

EID: 0042510721     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (56)
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    • note
    • i} if it is followed by a local von Neumann measurement by Alice and Bob in the basis {|i}.
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    • μU(U⊗U*)Q(U∈U*)†, where the integral is performed with respect to the Haar measure, U ∈U(d). The analogous operations for the Bell, Werner, and 0 ⊗ 0 symmetries will be referred to as the Bell twirl, Werner twirl, and orthogonal twirl, respectively.
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    • There is at least one other computable separability criterion known to be independent of PPT that also gives homogeneous constraints, namely, the criterion first proposed by Rudolph (O. Rudolph, e-print quant-ph/0202121). Hence the techniques discussed may yield further bounds on LOCC observations using that criterion instead of PPT.
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    • note
    • The commutant of a group g of unitaries is defined as the set of all operators A for which [U,A] = 0 for all U ∈ g.
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    • A MAPLE 7 script for this task is available by e-mailing a request to s.virmani@ic.ac.uk
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    • note
    • T}/d]


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