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Volumn 82, Issue 10, 2010, Pages

Analysis of a tunable coupler for superconducting phase qubits

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EID: 77957588646     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.104522     Document Type: Article
Times cited : (33)

References (48)
  • 32
    • 0042919238 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.91.057003
    • D. V. Averin and C. Bruder, Phys. Rev. Lett. 91, 057003 (2003). 10.1103/PhysRevLett.91.057003
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 057003
    • Averin, D.V.1    Bruder, C.2
  • 39
    • 77957603598 scopus 로고    scopus 로고
    • arXiv:quant-ph/0703208 (unpublished).
    • A. Galiautdinov and M. Geller, arXiv:quant-ph/0703208 (unpublished).
    • Galiautdinov, A.1    Geller, M.2
  • 45
    • 77957551945 scopus 로고    scopus 로고
    • The classical magnetic energy in the coupler is Em = L4 I42 /2+ L5 I52 /2-M I4 I5, where I4 and I5 are the currents through the inductors L4 and L5 (flowing in the "down" direction in Fig. ). When expressed in terms of the fluxes Φ4 = L4 I4 -M I5 and Φ5 = L5 I5 -M I4, it becomes Em = Φ42 /2K L4 + Φ52 /2K L5 + (M/K L4 L5 ) Φ4 Φ5, where K=1- M2 / L4 L5. Notice the sign change in the interaction term, which is important in Eqs. .
    • The classical magnetic energy in the coupler is E m = L 4 I 4 2 / 2 + L 5 I 5 2 / 2 - M I 4 I 5, where I 4 and I 5 are the currents through the inductors L 4 and L 5 (flowing in the "down" direction in Fig.). When expressed in terms of the fluxes Φ 4 = L 4 I 4 - M I 5 and Φ 5 = L 5 I 5 - M I 4, it becomes E m = Φ 4 2 / 2 K L 4 + Φ 5 2 / 2 K L 5 + (M / K L 4 L 5) Φ 4 Φ 5, where K = 1 - M 2 / L 4 L 5. Notice the sign change in the interaction term, which is important in Eqs..
  • 48
    • 77957603896 scopus 로고    scopus 로고
    • In the experiment (Ref.) the regime of the OFF coupling was actually realized at the bias current IB close to zero. This happened because of designed M/ L3 ≈ 1 at IB =0. We think that a better mode is when the coupling is OFF at | IB | / I3,cr 1 and consider M/ L3 2 at IB =0.
    • In the experiment (Ref.) the regime of the OFF coupling was actually realized at the bias current I B close to zero. This happened because of designed M / L 3 ≈ 1 at I B = 0. We think that a better mode is when the coupling is OFF at | I B | / I 3, cr 1 and consider M / L 3 2 at I B = 0.


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