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Volumn 67, Issue 16, 2003, Pages

Quantum-limited measurement and information in mesoscopic detectors

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC METHOD; ARTICLE; MATHEMATICAL ANALYSIS; MOLECULAR INTERACTION; QUANTITATIVE ANALYSIS; QUANTUM MECHANICS; SIGNAL DETECTION;

EID: 0041290285     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.67.165324     Document Type: Article
Times cited : (134)

References (34)
  • 1
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    • Y. Makhlin, Gerd Schon, and Alexander Shnirman, Phys. Rev. Lett. 85, 4578 (2000);
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 4578
    • Makhlin, Y.1
  • 2
  • 4
    • 85038332550 scopus 로고    scopus 로고
    • quant-ph/0008114 (unpublished);
    • D.V. Averin, quant-ph/0008114 (unpublished);
    • Averin, D.V.1
  • 5
    • 85038324864 scopus 로고    scopus 로고
    • cond-mat/0004364 (unpublished)
    • D.V. Averincond-mat/0004364 (unpublished).
    • Averin, D.V.1
  • 7
    • 85038313322 scopus 로고    scopus 로고
    • V.B. Braginsky and F.Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992)
    • V.B. Braginsky and F.Y. Khalili, Quantum Measurement (Cambridge University Press, Cambridge, 1992).
  • 12
  • 13
    • 85038304052 scopus 로고    scopus 로고
    • Note that in Ref. 2, the quantum limit is written as χ<2. This results from using a definition of (Formula presented) that is twice as large as the one used here
    • Note that in Ref. 2, the quantum limit is written as χ<2. This results from using a definition of (Formula presented) that is twice as large as the one used here.
  • 14
    • 85038272685 scopus 로고    scopus 로고
    • The proportionality condition expressed in Eq. (16) only involves a subset of matrix elements, and is thus not incompatible with the operators (Formula presented) and (Formula presented) being Hermitian. In the case where the state (Formula presented) in this equation, one simply needs that the corresponding matrix elements of (Formula presented) and (Formula presented) vanish
    • The proportionality condition expressed in Eq. (16) only involves a subset of matrix elements, and is thus not incompatible with the operators (Formula presented) and (Formula presented) being Hermitian. In the case where the state (Formula presented) in this equation, one simply needs that the corresponding matrix elements of (Formula presented) and (Formula presented) vanish.
  • 15
    • 85038285965 scopus 로고    scopus 로고
    • E.C. Titchmarsh, Introduction to the Theory of Fourier Integrals (Oxford, University Press, Oxford, 1937)
    • E.C. Titchmarsh, Introduction to the Theory of Fourier Integrals (Oxford, University Press, Oxford, 1937).
  • 16
    • 85038284996 scopus 로고    scopus 로고
    • L.B. Levitin, in Quantum Communication and Measurement, edited by V.P. Belavkin, O. Hirota, and R.L. Hudson (Plenum Press, New York, 1995), p. 439
    • L.B. Levitin, in Quantum Communication and Measurement, edited by V.P. Belavkin, O. Hirota, and R.L. Hudson (Plenum Press, New York, 1995), p. 439.
  • 17
    • 85038277260 scopus 로고    scopus 로고
    • quant-ph/9601020 (unpublished);
    • C.A. Fuchs, quant-ph/9601020 (unpublished);
    • Fuchs, C.A.1
  • 20
    • 85174221129 scopus 로고    scopus 로고
    • M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
    • M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
  • 22
    • 85038336818 scopus 로고    scopus 로고
    • More generally, there will be two different detector density matrices (Formula presented) corresponding to the two qubit states; we consider the case of pure states for simplicity
    • More generally, there will be two different detector density matrices (Formula presented) corresponding to the two qubit states; we consider the case of pure states for simplicity.
  • 23
    • 84889281816 scopus 로고    scopus 로고
    • See, e.g., T.M. Cover and J.A. Thomas, Elements of Information Theory (Wiley, New York, 1991)
    • See, e.g., T.M. Cover and J.A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
  • 24
    • 3042988056 scopus 로고    scopus 로고
    • For simplicity, we do not consider self-consistency effects that can become important when the current is no longer linear with voltage, see, e.g., T. Christen and M. Büttiker, Europhys. Lett. 35, 523 (1996).
    • (1996) Europhys. Lett. , vol.35 , pp. 523
    • Christen, T.1    Büttiker, M.2
  • 27
    • 0004473015 scopus 로고    scopus 로고
    • Ya.M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000)
    • Ya.M. Blanter and M. Büttiker, Phys. Rep. 336, 1 (2000).
  • 29
    • 85038285026 scopus 로고    scopus 로고
    • Note that our Eq. (40) has a constant on the right-hand side, while the corresponding equation in Ref. 6 [Eq. (12)] has an arbitrary energy-dependent function on the right-hand side. This difference results from the fact that Ref. 6 considers voltages so small that the effects of energy averaging can be neglected
    • Note that our Eq. (40) has a constant on the right-hand side, while the corresponding equation in Ref. 6 [Eq. (12)] has an arbitrary energy-dependent function on the right-hand side. This difference results from the fact that Ref. 6 considers voltages so small that the effects of energy averaging can be neglected.
  • 30
    • 85038334654 scopus 로고    scopus 로고
    • Note that by left-right symmetry, we mean that the scalar potential (Formula presented) in the scattering region is a symmetric function of x, where x is the transport direction. One can still have an absence of time-reversal symmetry if, e.g., there is a vector potential in the scattering region
    • Note that by left-right symmetry, we mean that the scalar potential (Formula presented) in the scattering region is a symmetric function of x, where x is the transport direction. One can still have an absence of time-reversal symmetry if, e.g., there is a vector potential in the scattering region.


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