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How long does it take to obtain a physical density matrix?

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arxiv 1512.06866 v1 pith:C7Y7A4NU submitted 2015-12-21 quant-ph

Lukas Knips , Christian Schwemmer , Nico Klein , Jonas Reuter , Géza Tóth , Harald Weinfurter This is my paper · ORCID
classification quant-ph
keywords estimatesmeasurementsnumberobtainphysicalunphysicalalonealready
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The statistical nature of measurements alone easily causes unphysical estimates in quantum state tomography. We show that multinomial or Poissonian noise results in eigenvalue distributions converging to the Wigner semicircle distribution for already a modest number of qubits. This enables to specify the number of measurements necessary to avoid unphysical solutions as well as a new approach to obtain physical estimates.

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  1. Experimental demonstration of enhanced quantum tomography via quantum reservoir processing

    quant-ph 2024-12 conditional novelty 6.0 of 10

    A quantum reservoir processing protocol learns a bosonic cQED device's true measurement dynamics from 36 training states and reconstructs unseen kitten states with fidelity above 91%, outperforming the idealized model map.

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