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Non-ideal monitoring of a qubit state using a quantum tunnelling device

Neil P Oxtoby1,2, He-Bi Sun1,3 and Howard M Wiseman2

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We propose a model for non-ideal monitoring of the state of a coupled quantum dot qubit by a quantum tunnelling device. The non-ideality is modelled using an equivalent measurement circuit. This allows realistically available measurement results to be related to the state of the quantum system (qubit). We present a quantum trajectory that describes the stochastic evolution of the qubit state conditioned by tunnelling events (i.e. current) through the device. We calculate and compare the noise power spectra of the current in an ideal and a non-ideal measurement. The results show that when the two qubit dots are strongly coupled the non-ideal measurement cannot detect the qubit state precisely. The limitation of the ideal model for describing a realistic system may be estimated from the noise spectra.


PACS

03.67.Lx Quantum computation architectures and implementations

73.23.Hk Coulomb blockade; single-electron tunneling

Subjects

Computational physics

Surfaces, interfaces and thin films

Quantum information and quantum mechanics

Dates

Issue 46 (26 November 2003)

Received 28 July 2003

Published 7 November 2003



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