Continuous measurements of two qubits

Details Continuous measurements of two qubits Continuous measurements of two qubits

2004-08-21

arxiv.org/abs/cond-mat/0408471v2

Phys. Rev. B 71, 085320 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

14 pages, 6 figures

Scientific paper

10.1103/PhysRevB.71.085320

We develop a theory of coherent quantum oscillations in two, in general interacting, qubits measured continuously by a mesoscopic detector with arbitrary non-linearity and discuss an example of SQUID magnetometer that can operate as such a detector. Calculated spectra of the detector output show that the detector non-linearity should lead to mixing of the oscillations of the two qubits. For non-interacting qubits oscillating with frequencies $\Omega_1$ and $\Omega_2$, the mixing manifests itself as spectral peaks at the combination frequencies $\Omega_1\pm \Omega_2$. Additional nonlinearity introduced by the qubit-qubit interaction shifts all the frequencies. In particular, for identical qubits, the interaction splits coherent superposition of the single-qubit peaks at $\Omega_1=\Omega_2$. Quantum mechanics of the measurement imposes limitations on the height of the spectral peaks.

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