Tomography of a spin qubit in a double quantum dot

Abstract

We investigate a range of methods to perform tomography in a solid-state qubit device, for which a priori initialization and measurement of the qubit is restricted to a single basis of the Bloch sphere. We explore and compare several methods to acquire precise descriptions of additional states and measurements, quantifying both stochastic and systematic errors, ultimately leading to a tomographically-complete set that can be subsequently used in process tomography. We focus in detail on the example of a spin qubit formed by the singlet-triplet subspace of two electron spins in a GaAs double quantum dot, although our approach is quite general.

10 pages, 5 figures, comments welcome; v2 published version

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• Optimization of quantum state tomography in the presence of experimental constraints
• N-qubit system in a pure state: a necessary and sufficient condition for unentanglement
• Beyond the density operator and Tr(ρA): Exploiting the higher-order statistics of random-coefficient pure states for quantum information processing
• Statistical intrusion detection and eavesdropping in quantum channels with coupling: Multiple-preparation and single-preparation methods