van Enk, S. J. and Blume-Kohout, Robin (2013) When quantum tomography goes wrong: drift of quantum sources and other errors. New Journal of Physics, 15 . Art. No. 025024. ISSN 1367-2630. doi:10.1088/1367-2630/15/2/025024. https://resolver.caltech.edu/CaltechAUTHORS:20130320-140831416
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Abstract
The principle behind quantum tomography is that a large set of observations—many samples from a 'quorum' of distinct observables—can all be explained satisfactorily as measurements on a single underlying quantum state or process. Unfortunately, this principle may not hold. When it fails, any standard tomographic estimate should be viewed skeptically. Here we propose a simple way to test for this kind of failure using the Akaike information criterion. We point out that the application of this criterion in a quantum context, while still powerful, is not as straightforward as it is in classical physics. This is especially the case when future observables differ from those constituting the quorum.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2013 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Content from this work may be used under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Issue 2 (February 2013); Received 31 May 2012; Published 18 February 2013. This work was supported by NSF grant no. PHY-1004219. Sandia National Laboratories is a multi-program laboratory operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the US Department of Energy, National Nuclear Security Administration under contract no. DE-AC04-94AL85000. Note added in proof: Upon completion of this paper [18] appeared, which is similar in spirit to our paper, but which uses χ2 tests to detect errors in tomography. It points out, too, the problem with pure-state assignments for those tests. After submission of the proofs we also became aware of a very relevant article [19]. | |||||||||
| Group: | Institute for Quantum Information and Matter | |||||||||
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| Classification Code: | PACS: 03.65.Wj; 03.65.Ta | |||||||||
| DOI: | 10.1088/1367-2630/15/2/025024 | |||||||||
| Record Number: | CaltechAUTHORS:20130320-140831416 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130320-140831416 | |||||||||
| Official Citation: | When quantum tomography goes wrong: drift of quantum sources and other errors S J van Enk and Robin Blume-Kohout 2013 New J. Phys. 15 025024 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 37580 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | INVALID USER | |||||||||
| Deposited On: | 25 Mar 2013 20:58 | |||||||||
| Last Modified: | 12 Jul 2022 19:44 |
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