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Phys. Rev. A 73, 040304(R) (2006) [4 pages]

Heisenberg-limited measurements with superconducting circuits

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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

Received 8 August 2005; revised 30 December 2005; published 27 April 2006

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).

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.73.040304
DOI:
10.1103/PhysRevA.73.040304
PACS:
03.67.Mn, 42.50.Pq, 03.67.Lx, 85.25.Hv

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