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Heisenberg-limited measurements with superconducting circuits

Alexandre Guillaume and Jonathan P. Dowling
Phys. Rev. A 73, 040304(R) – Published 27 April 2006

Abstract

We describe an assembly of N superconducting qubits contained in a single-mode cavity. In the dispersive regime, the correlation between the cavity field and each qubit results in an effective interaction between qubits that can be used to dynamically generate maximally entangled states. With only collective manipulations, we show how to create maximally entangled quantum states and how to use these states to reach the Heisenberg limit in the determination of the qubit bias control parameter (gate charge for charge qubits, external magnetic flux for rf-superconducting quantum interference devices).

  • Received 8 August 2005

DOI:https://doi.org/10.1103/PhysRevA.73.040304

©2006 American Physical Society

Authors & Affiliations

Alexandre Guillaume*

  • Jet Propulsion Laboratory, California Institute of Technology, Mail Stop 302-306, 4800 Oak Grove Drive, Pasadena, California 91109-8099, USA

Jonathan P. Dowling

  • Hearne Institute for Theoretical Physics, Department of Physics and Astronomy, Louisiana State University, 202 Nicholson Hall, Tower Drive, Baton Rouge, Louisiana 70803-4001, USA and Institute for Quantum Studies & Department of Physics, Texas A&M University, College Station, Texas 77843-4242, USA

  • *Electronic address: Alexandre.Guillaume@jpl.nasa.gov

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Issue

Vol. 73, Iss. 4 — April 2006

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