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In two of our previous works (Refs.), we studied charge qubits in multiresonator systems. In that case, we performed numerical simulations to study the geometric first-order capacitance between two resonators [in a configuration similar to that of Fig. 1]. We found a scattering matrix element Sab -50 dB at approximately 4 GHz, which gives CAB =c=3× 10-3 CBB. Assuming CAQ ≈ CQB, we can easily compare c to the second-order cross capacitance between A and B and obtain c/ (C AQ 2 / CQQ) 0.9. For these calculations, we use CBB 2.2 pF, CAQ 22 fF, and CQQ 67 fF from Ref.. In particular, we find c7 fF and CAQ CQB / CQQ 7.5 fF. In this case, an example of third-order cross capacitance is CAQ CQB CBQ / CQQ CBB 76 aF, which is negligible.
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PRBMDO 0163-1829 10.1103/PhysRevB.72.060506
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B. L. T. Plourde, T. L. Robertson, P. A. Reichardt, T. Hime, S. Linzen, C.-E. Wu, and J. Clarke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 060506 72, 060506 (R) (2005).
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(2005)
Phys. Rev. B
, vol.72
, pp. 060506
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Plourde, B.L.T.1
Robertson, T.L.2
Reichardt, P.A.3
Hime, T.4
Linzen, S.5
Wu, C.-E.6
Clarke, J.7
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98
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52249095997
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Obviously, this does not mean that sharp edges of the microwave on-chip structures are needed (which would imply unwanted radiation effects). It only means that the lines of the two resonators have to rapidly depart from each other.
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Obviously, this does not mean that sharp edges of the microwave on-chip structures are needed (which would imply unwanted radiation effects). It only means that the lines of the two resonators have to rapidly depart from each other.
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101
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52249097064
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In all our calculations and simulations, for the permittivity of vacuum we use the standard value provided by the National Institute of Standards and Technology (NIST), retaining all given decimal digits. The same applies for all other fundamental physical constants, which can be found at
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In all our calculations and simulations, for the permittivity of vacuum we use the standard value provided by the National Institute of Standards and Technology (NIST), retaining all given decimal digits. The same applies for all other fundamental physical constants, which can be found at http://physics.nist. gov/cuu/Constants/
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