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Volumn 94, Issue 15, 2005, Pages

Hilbert's 17th problem and the quantumness of states

Author keywords

[No Author keywords available]

Indexed keywords

ANNIHILATION OPERATORS; NONCLASSICAL STATES; QUANTUM ENTANGLEMENT; QUANTUM SYSTEMS;

EID: 18144365184     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.153601     Document Type: Article
Times cited : (41)

References (27)
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    • (1987) Speakable and Unspeakable in Quantum Mechanics
    • Bell, J.S.1
  • 3
    • 0004150286 scopus 로고
    • Kluwer, Dordrecht
    • J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, England, 1987); A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993); R. F. Werner and M. M. Wolf, quant-ph/0107093.
    • (1993) Quantum Theory: Concepts and Methods
    • Peres, A.1
  • 4
    • 18144379047 scopus 로고    scopus 로고
    • R. F. Werner and M. M. Wolf, quant-ph/0107093
    • J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge University Press, Cambridge, England, 1987); A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993); R. F. Werner and M. M. Wolf, quant-ph/0107093.
  • 6
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    • E. C. G. Sudarshan, Phys. Rev. Lett. 10, 277 (1963); R. J. Glauber, Phys. Rev. 131, 2766 (1963).
    • (1963) Phys. Rev. , vol.131 , pp. 2766
    • Glauber, R.J.1
  • 9
    • 18144420284 scopus 로고    scopus 로고
    • Real Algebraic Geometry and Ordered Structures, edited by C. N. Delzell and J. J. Madden, American Mathematical Society, Providence
    • B. Reznick, in Real Algebraic Geometry and Ordered Structures, edited by C. N. Delzell and J. J. Madden, Contemporary Mathematics Vol. 253 (American Mathematical Society, Providence, 2000).
    • (2000) Contemporary Mathematics Vol. 253 , vol.253
    • Reznick, B.1
  • 11
    • 18144380183 scopus 로고    scopus 로고
    • note
    • 2(α - β).
  • 17
    • 0000458474 scopus 로고
    • -|α|2/2f(α*), where f(α*) is an entire function; J. R. Klauder and E. C. G. Sudarshan Fundamentals of Quantum Optics (Benjamin, New. York, 1968); E. A. Carlen, J. Funct. Anal. 97, 231 (1991).
    • (1991) J. Funct. Anal. , vol.97 , pp. 231
    • Carlen, E.A.1
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    • 0000592520 scopus 로고    scopus 로고
    • M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996); B. M. Terhal, Phys. Lett. A 271, 319 (2000).
    • (2000) Phys. Lett. A , vol.271 , pp. 319
    • Terhal, B.M.1
  • 24
    • 0037174198 scopus 로고    scopus 로고
    • M.-D. Choi, Linear Algebra and Its Applications 12, 95 (1975); B. Terhal, Theor. Comput. Sci. 287, 313 (2002).
    • (2002) Theor. Comput. Sci. , vol.287 , pp. 313
    • Terhal, B.1
  • 25
    • 18144367588 scopus 로고    scopus 로고
    • note
    • Any homogeneous polynomial from ℝ[x,y, z] can be dehomogenized by setting z = 1, and vice versa: by introducing a third variable z, generic v ε ℝ[x, y] can be homogenized. The property of being PSD or SOS is conserved under de- and homogenization.
  • 26
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    • M. Barbieri et al., Phys. Rev. Lett. 91, 227901 (2003); M. Bourennane et al., ibid. 92, 087902 (2004).
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 227901
    • Barbieri, M.1
  • 27
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    • M. Barbieri et al., Phys. Rev. Lett. 91, 227901 (2003); M. Bourennane et al., ibid. 92, 087902 (2004).
    • (2004) Phys. Rev. Lett. , vol.92 , pp. 087902
    • Bourennane, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.