메뉴 건너뛰기




Volumn 44, Issue 11, 2003, Pages 5003-5020

Radon-Nikodym derivatives of quantum operations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0242635626     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1615697     Document Type: Review
Times cited : (42)

References (39)
  • 1
  • 10
    • 0242639453 scopus 로고    scopus 로고
    • Comparison of completely positive maps on a C*-algebra and a Lebesgue decomposition theorem
    • Lecture Notes in Statistics, Springer-Verlag, New York
    • K. R. Parthasarathy, "Comparison of completely positive maps on a C*-algebra and a Lebesgue decomposition theorem," Athens Conference on Applied Probability and Time Series Analysis I, Lecture Notes in Statistics, Vol. 114 (Springer-Verlag, New York, 1996), pp. 34-54.
    • (1996) Athens Conference on Applied Probability and Time Series Analysis I , vol.114 , pp. 34-54
    • Parthasarathy, K.R.1
  • 14
    • 0242723810 scopus 로고    scopus 로고
    • note
    • Strictly speaking, one should start with the Schrödinger-picture map T*, extend it by linearity to the trace class script T sign(H), and then define the Heisenberg-picture map T by noting that, for a fixed A ∈ B(H), Tr[T*(p)A] is a continuous linear functional on the trace class, and therefore has the form Tr(pA′) for some A′∈ B(H). We then set T(A) = A′. However, since we have assumed at the outset that T is normal, we do not have to worry too much about this nuance.
  • 16
    • 0001339906 scopus 로고
    • Conditional expectation and repeated measurement of continuous quantum observables
    • Lecture Notes in Mathematics, (Springer-Verlag, Berlin)
    • M. Ozawa, "Conditional expectation and repeated measurement of continuous quantum observables," Probability Theory and Mathematical Statistics, Lecture Notes in Mathematics, Vol. 1021 (Springer-Verlag, Berlin, 1983), pp. 518-525.
    • (1983) Probability Theory and Mathematical Statistics , vol.1021 , pp. 518-525
    • Ozawa, M.1
  • 26
    • 0242554661 scopus 로고    scopus 로고
    • This looks suspiciously like the Stinespring dilation of a CP map and, in fact, it is [for details see, e.g., Davies' proof (Ref. 2, Sec. 9.3) of the Naimark theorem]
    • This looks suspiciously like the Stinespring dilation of a CP map and, in fact, it is [for details see, e.g., Davies' proof (Ref. 2, Sec. 9.3) of the Naimark theorem].
  • 38
    • 0004151496 scopus 로고    scopus 로고
    • Springer-Verlag, New York
    • R. Bhatia, Matrix Analysis (Springer-Verlag, New York, 1997).
    • (1997) Matrix Analysis
    • Bhatia, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.