Interesting Esoterica

Have you been using the wrong estimator? These guys bound average fidelity using this one weird trick von Neumann didn't want you to know

Article by Ferrie, Christopher and Kueng, Richard
  • Published in 2015
  • Added on
We give bounds on the average fidelity achievable by any quantum state estimator, which is arguably the most prominently used figure of merit in quantum state tomography. Moreover, these bounds can be computed online---that is, while the experiment is running. We show numerically that these bounds are quite tight for relevant distributions of density matrices. We also show that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization. Our results hold for all finite dimensional quantum systems.

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Other information

key
Ferrie2015
type
article
date_added
2015-03-26
date_published
2015-03-01

BibTeX entry

@article{Ferrie2015,
	key = {Ferrie2015},
	type = {article},
	title = {Have you been using the wrong estimator? These guys bound average fidelity using this one weird trick von Neumann didn't want you to know},
	author = {Ferrie, Christopher and Kueng, Richard},
	abstract = {We give bounds on the average fidelity achievable by any quantum state estimator, which is arguably the most prominently used figure of merit in quantum state tomography. Moreover, these bounds can be computed online---that is, while the experiment is running. We show numerically that these bounds are quite tight for relevant distributions of density matrices. We also show that the Bayesian mean estimator is ideal in the sense of performing close to the bound without requiring optimization. Our results hold for all finite dimensional quantum systems.},
	comment = {},
	date_added = {2015-03-26},
	date_published = {2015-03-01},
	urls = {http://arxiv.org/abs/1503.00677,http://arxiv.org/pdf/1503.00677v2},
	collections = {Attention-grabbing titles,Probability and statistics},
	month = {mar},
	url = {http://arxiv.org/abs/1503.00677 http://arxiv.org/pdf/1503.00677v2},
	year = 2015,
	archivePrefix = {arXiv},
	eprint = {1503.00677},
	primaryClass = {quant-ph},
	urldate = {2015-03-26}
}