Abstract.
The impedance measurement technique consists in that the phase-dependent (parametric) inductance of the system is probed by the classical tank circuit via measuring the voltage. The notion of the parametric inductance for the impedance measurement technique is revisited for the case when a quantum system is probed. Measurement of the quantum state of the system of superconducting circuits (qubits) is studied theoretically. It is shown that the result of the measurement is defined by the partial energy levels population in the qubits and by its derivative.
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References
A.H. Silver, J.E. Zimmerman, Phys. Rev. 157, 317 (1967)
K.K. Likharev, Introduction in the Dynamics of Josephson Junctions (Nauka, Moscow) 1985 (In Russian)
V.I. Shnyrkov, V.A. Khlus, G.M. Tsoi, J. Low Temp. Phys. 39, 477 (1980)
R. Rifkin, B.S. Deaver, Jr., Phys. Rev. B 13, 3894 (1976)
E. Il'ichev, V. Zakosarenko, L. Fritzsch, R. Stolz, H.E. Hoenig, H.-G. Meyer, M. Götz, A.B. Zorin, V.V. Khanin, A.B. Pavolotsky, J. Niemeyer, Rev. Sci. Instr. 72, 1882 (2001)
A.B. Zorin, Physica C 368, 284 (2002)
W. Krech, M. Grajcar, D. Born, I. Zhilyaev, Th. Wagner, E. Il'ichev, Ya. Greenberg, Phys. Lett. A 303, 352 (2002)
Ya.S. Greenberg, A. Izmalkov, M. Grajcar, E. Il'ichev, W. Krech, H.-G. Meyer, M.H.S. Amin, A. Maassen van den Brink, Phys. Rev. B 66, 214525 (2002)
A.Yu. Smirnov, Phys. Rev. B 68, 134514 (2003)
E. Il'ichev, N. Oukhanski, Th. Wagner, H.-G. Meyer, A.Yu. Smirnov, M. Grajcar, A. Izmalkov, D. Born, W. Krech, A. Zagoskin, Low Temp. Phys. 30, 620 (2004)
V.I. Shnyrkov, Th. Wagner, D. Born, S.N. Shevchenko, W. Krech, A.N. Omelyanchouk, E. Il'ichev, H.-G. Meyer, Phys. Rev. B 73, 024506 (2006)
J.E. Mooij, T.P. Orlando, L. Levitov, L. Tian, C.H. van der Wal, S. Lloyd, Science 285, 1036 (1999)
A. Izmalkov, M. Grajcar, E. Il'ichev, Th. Wagner, H.-G. Meyer, A.Yu. Smirnov, M.H.S. Amin, A. Maassen van den Brink, A.M. Zagoskin, Phys. Rev. Lett. 93, 037003 (2004)
Ya.S. Greenberg, A. Izmalkov, M. Grajcar, E. Il'ichev, W. Krech, H.-G. Meyer, Phys. Rev. B 66, 224511 (2002)
M.J. Everitt, T.D. Clark, P.B. Stiffell, C.J. Harland, J.F. Ralph, Phys Rev. B 72, 094509 (2005)
A.B. Zorin, Phys. Rev. Lett. 96, 167001 (2006)
E. Il'ichev, Ya.S. Greenberg, Europhys. Lett. 77, 58005 (2007)
A. Lupaşcu, C.J.M. Verwijs, R.N. Schouten, C.J.P.M. Harmans, J.E. Mooij, Phys. Rev. Lett. 93, 177006 (2004)
S.N. Shevchenko, A.S. Kiyko, A.N. Omelyanchouk, W. Krech, Low Temp. Phys. 31, 564 (2005)
A.S. Kiyko, A.N. Omelyanchouk, S.N. Shevchenko, Low Temp. Phys. 33, 1015 (2007)
M. Grajcar, A. Izmalkov, E. Il'ichev, Th. Wagner, N. Oukhanski, U. Hübner, T. May, I. Zhilyaev, H.E. Hoenig, Ya.S. Greenberg, V.I. Shnyrkov, D. Born, W. Krech, H.-G. Meyer, A. Maassen van den Brink, M.H.S. Amin, Phys. Rev. B 69, 060501 (2004)
C. Cohen-Tannoudji, B. Diu, F. Laloë, Quantum Mechanics (Wiley, New York, 1986), Vol. 1, p. 450
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Shevchenko, S. Impedance measurement technique for quantum systems. Eur. Phys. J. B 61, 187–191 (2008). https://doi.org/10.1140/epjb/e2008-00061-9
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DOI: https://doi.org/10.1140/epjb/e2008-00061-9