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Volumn 90, Issue 19, 2003, Pages

Kochen-Specker theorem for a single qubit using positive operator-valued measures

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ELEMENTARY PARTICLES; MATHEMATICAL OPERATORS; NUMERICAL METHODS; QUANTUM THEORY;

EID: 0037933485     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (35)

References (29)
  • 10
    • 84927388618 scopus 로고
    • Reprinted in Foundations of Quantum Mechanics since the Bell Inequalities, Selected Reprints, edited by L. E. Ballentine (American Association of Physics Teachers, College Park, MD, 1988), p. 100
    • A. Peres, Am. J. Phys. 46, 745 (1978). Reprinted in Foundations of Quantum Mechanics since the Bell Inequalities, Selected Reprints, edited by L. E. Ballentine (American Association of Physics Teachers, College Park, MD, 1988), p. 100.
    • (1978) Am. J. Phys. , vol.46 , pp. 745
    • Peres, A.1
  • 18
    • 0037493887 scopus 로고    scopus 로고
    • quant-ph/0205039
    • C. A. Fuchs, quant-ph/0205039.
    • Fuchs, C.A.1
  • 19
    • 0037493875 scopus 로고    scopus 로고
    • note
    • Since a generalized measurement represented by POVMs can only be implemented by means of a von Neumann's measurement on a higher dimensional system, and since the standard KS theorem shows that there cannot be a noncontextual hidden-variables theory for the higher dimensional system, then one might think that the impossibility of a noncontextual hidden-variables theory for the lower dimensional system follows from the impossibility of a noncontextual hidden-variables theory for the higher dimensional system. However, there is a need for a proof using POVMs similar to the one introduced in this Letter, because at present it has not been proved that a standard proof of a KS theorem in the higher dimensional system would lead to a proof of the KS theorem using POVMs in the lower dimensional system.
  • 20
    • 0038169177 scopus 로고    scopus 로고
    • note
    • According to Peres, "measurements are processes in which an apparatus interacts with the physical system under study, in such a way that a property of that system affects a corresponding property of the apparatus" [8]. The approach to the KS theorem using POVMs is fully consistent with this definition: here the physical system under study is a single qubit and the apparatus includes the ancilla.
  • 23
    • 0037831417 scopus 로고    scopus 로고
    • quant-ph/9909073
    • P. Busch, quant-ph/9909073.
    • Busch, P.1
  • 26
    • 2942670448 scopus 로고    scopus 로고
    • edited by J. Ellis and D. Amati (Cambridge University Press, Cambridge)
    • R. Penrose, in Quantum Reflections, edited by J. Ellis and D. Amati (Cambridge University Press, Cambridge, 2000), p. 1.
    • (2000) Quantum Reflections , pp. 1
    • Penrose, R.1
  • 29
    • 0038169172 scopus 로고    scopus 로고
    • (private communication)
    • M. Nakamura (private communication).
    • Nakamura, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.