Quantum nondemolition photon detection in circuit QED and the quantum Zeno effect

Ferdinand Helmer, Matteo Mariantoni, Enrique Solano, and Florian Marquardt
Phys. Rev. A 79, 052115 – Published 20 May 2009

Abstract

We analyze the detection of itinerant photons using a quantum nondemolition measurement. An important example is the dispersive detection of microwave photons in circuit quantum electrodynamics, which can be realized via the nonlinear interaction between photons inside a superconducting transmission line resonator. We show that the back action due to the continuous measurement imposes a limit on the detector efficiency in such a scheme. We illustrate this using a setup where signal photons have to enter a cavity in order to be detected dispersively. In this approach, the measurement signal is the phase shift imparted to an intense beam passing through a second cavity mode. The restrictions on the fidelity are a consequence of the quantum Zeno effect, and we discuss both analytical results and quantum trajectory simulations of the measurement process.

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  • Received 17 December 2007

DOI:https://doi.org/10.1103/PhysRevA.79.052115

©2009 American Physical Society

Authors & Affiliations

Ferdinand Helmer1, Matteo Mariantoni2,3, Enrique Solano1,4, and Florian Marquardt1

  • 1Department of Physics, Center for NanoScience, and Arnold Sommerfeld Center, Ludwig-Maximilians-Universität, Theresienstrasse 37, D-80333 Munich, Germany
  • 2Walther-Meissner-Institut, Bayerische Akademie der Wissenschaften, Walther-Meissner-Str. 8, D-85748 Garching, Germany
  • 3Physics Department, Technische Universität München, James-Franck-Str., D-85748 Garching, Germany
  • 4Departamento de Quimica Fisica, Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, 48080 Bilbao, Spain

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Issue

Vol. 79, Iss. 5 — May 2009

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