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Volumn 66, Issue 6, 2002, Pages 7-

Bounds on entanglement in qudit subsystems

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EID: 85037239585     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.66.062310     Document Type: Article
Times cited : (13)

References (40)
  • 10
    • 85037226629 scopus 로고    scopus 로고
    • P. Stelmachovic and V. Bužek (unpublished)
    • P. Stelmachovic and V. Bužek (unpublished).
  • 31
    • 85037195055 scopus 로고    scopus 로고
    • P. Rungta, W.J. Munro, K. Nemoto, P. Deuar, G.J. Milburn, and C.M. Caves, in Directions in Quantum Optics A Collection of Papers Dedicated to the Memory of Dan Walls, edited by H.J. Carmichael, R.J. Glauber, and M.O. Scully (Springer-Verlag, Berlin, 2001), pp. 149–164
    • P. Rungta, W.J. Munro, K. Nemoto, P. Deuar, G.J. Milburn, and C.M. Caves, in Directions in Quantum Optics: A Collection of Papers Dedicated to the Memory of Dan Walls, edited by H.J. Carmichael, R.J. Glauber, and M.O. Scully (Springer-Verlag, Berlin, 2001), pp. 149–164.
  • 34
    • 85037181378 scopus 로고    scopus 로고
    • By “positive measure” we mean that we have divided the Hilbert space into two regions with measures of comparable size in (Formula presented) i.e., the ratio of the measures of the two parts is finite (neither infinite nor zero)
    • By “positive measure” we mean that we have divided the Hilbert space into two regions with measures of comparable size in (Formula presented) i.e., the ratio of the measures of the two parts is finite (neither infinite nor zero).
  • 39
    • 85037251022 scopus 로고    scopus 로고
    • For two qubits, (Formula presented) is at the boundary of the maximal ball (PPT implies separable in this case, see also Ref. 30), which is why the exact results for the bounds for two qubits are the same [right-hand side of Eqs. (8) and (13) are equal]. But this isn’t so for (Formula presented) or (Formula presented) hence we get a different value for the bound from this method, in general. The states in between are maximally entangled mixed states, see, Refs. 35. 3637
    • For two qubits, (Formula presented) is at the boundary of the maximal ball (PPT implies separable in this case, see also Ref. 30), which is why the exact results for the bounds for two qubits are the same [right-hand side of Eqs. (8) and (13) are equal]. But this isn’t so for (Formula presented) or (Formula presented) hence we get a different value for the bound from this method, in general. The states in between are maximally entangled mixed states, see, Refs. 353637.
  • 40
    • 85037255370 scopus 로고    scopus 로고
    • M.L. Mehta, Matrix Theory (Hindustan Publishing, Delhi, 1989)
    • M.L. Mehta, Matrix Theory (Hindustan Publishing, Delhi, 1989).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.