Quantum deconvolution

Article

Abstract

We propose a method for stably removing noise from measurements of a quantum many-body system. The question is cast to a linear inverse problem by using a quantum Fischer information metric as figure of merit. This requires the ability to compute the adjoint of the noise channel with respect to the metric, which can be done analytically when the metric is evaluated at a Gaussian (quasi-free) state. This approach can be applied effectively to n-point functions of a quantum field theory. For translation invariant noise, this yields a stable deconvolution method on the first moments of the field which differs from what one would obtain from a purely classical analysis.

Keywords

Quantum tomography Quantum Fischer information Gaussian channel Channel reversal Quantum field theory 

Notes

Acknowledgements

This work was supported by the research fund of Hanyang University (HY-2016-2237).

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© Springer Science+Business Media, LLC, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Applied MathematicsHanyang University (ERICA)AnsanKorea

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