Period-doubling bifurcation readout for a Josephson qubit

Alexander B. Zorin and Yuriy Makhlin
Phys. Rev. B 83, 224506 – Published 22 June 2011

Abstract

We propose a threshold detector with an operating principle based on a parametric period-doubling bifurcation in an externally pumped nonlinear resonance circuit. The ac-driven resonance circuit includes a dc-current–biased Josephson junction ensuring parametric frequency conversion (period-doubling bifurcation) due to its quadratic nonlinearity. A sharp onset of oscillations at the half-frequency of the drive allows for the detection of small variations of an effective inductance and, therefore, the readout of the quantum state of a coupled Josephson qubit. The bifurcation characteristics of this circuit are compared with those of the conventional Josephson bifurcation amplifier, and its possible advantages are discussed.

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  • Received 25 January 2011

DOI:https://doi.org/10.1103/PhysRevB.83.224506

©2011 American Physical Society

Authors & Affiliations

Alexander B. Zorin

  • Physikalisch-Technische Bundesanstalt, Bundesallee 100, D-38116 Braunschweig, Germany and Skobeltsyn Institute of Nuclear Physics, Moscow State University, 119899 Moscow, Russia

Yuriy Makhlin

  • Landau Institute for Theoretical Physics, Kosygin st. 2, 119334 Moscow, Russia and Moscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia

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Vol. 83, Iss. 22 — 1 June 2011

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