Tomography via Correlation of Noisy Measurement Records

We present methods and results of shot-by-shot correlation of noisy measurements to extract entangled state and process tomography in a superconducting qubit architecture. We show that averaging continuous values, rather than counting discrete thresholded values, is a valid tomographic strategy and...

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Bibliographic Details
Published in:arXiv.org 2013-12
Main Authors: Ryan, Colm A, Johnson, Blake R, Gambetta, Jay M, Chow, Jerry M, da Silva, Marcus P, Dial, Oliver E, Ohki, Thomas A
Format: Article
Language:English
Subjects:
Balances (scales)
Correlation analysis
Entangled states
Quantum theory
Shot
Tomography
Online Access:Get full text
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Summary:We present methods and results of shot-by-shot correlation of noisy measurements to extract entangled state and process tomography in a superconducting qubit architecture. We show that averaging continuous values, rather than counting discrete thresholded values, is a valid tomographic strategy and is in fact the better choice in the low signal-to-noise regime. We show that the effort to measure \(N\)-body correlations from individual measurements scales exponentially with \(N\), but with sufficient signal-to-noise the approach remains viable for few-body correlations. We provide a new protocol to optimally account for the transient behavior of pulsed measurements. Despite single-shot measurement fidelity that is less than perfect, we demonstrate appropriate processing to extract and verify entangled states and processes.
ISSN:2331-8422
DOI:10.48550/arxiv.1310.6448