When quantum state tomography benefits from willful ignorance

We show that quantum state tomography with perfect knowledge of the measurement apparatus proves to be, in some instances, inferior to strategies discarding all information about the measurement at hand, as in the case of data pattern tomography. In those scenarios, the larger uncertainty about the...

Full description

Bibliographic Details
Main Authors: Libor Motka, Martin Paúr, Jaroslav Řeháček, Zdeněk Hradil, Luis L Sánchez-Soto
Format: Article
Language:English
Published: IOP Publishing 2021-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac0fff
_version_ 1797750137617907712
author Libor Motka
Martin Paúr
Jaroslav Řeháček
Zdeněk Hradil
Luis L Sánchez-Soto
author_facet Libor Motka
Martin Paúr
Jaroslav Řeháček
Zdeněk Hradil
Luis L Sánchez-Soto
author_sort Libor Motka
collection DOAJ
description We show that quantum state tomography with perfect knowledge of the measurement apparatus proves to be, in some instances, inferior to strategies discarding all information about the measurement at hand, as in the case of data pattern tomography. In those scenarios, the larger uncertainty about the measurement is traded for the smaller uncertainty about the reconstructed signal. This effect is more pronounced for minimal or nearly minimal informationally complete measurement settings, which are of utmost practical importance.
first_indexed 2024-03-12T16:28:18Z
format Article
id doaj.art-48dca98959c144e28ee7de0150c6caf8
institution Directory Open Access Journal
issn 1367-2630
language English
last_indexed 2024-03-12T16:28:18Z
publishDate 2021-01-01
publisher IOP Publishing
record_format Article
series New Journal of Physics
spelling doaj.art-48dca98959c144e28ee7de0150c6caf82023-08-08T15:35:54ZengIOP PublishingNew Journal of Physics1367-26302021-01-0123707303310.1088/1367-2630/ac0fffWhen quantum state tomography benefits from willful ignoranceLibor Motka0Martin Paúr1https://orcid.org/0000-0002-6675-2294Jaroslav Řeháček2https://orcid.org/0000-0002-4969-2760Zdeněk Hradil3https://orcid.org/0000-0001-8732-4638Luis L Sánchez-Soto4https://orcid.org/0000-0002-7441-8632Department of Optics, Palacky University , 17. listopadu 12, 77146 Olomouc, Czech RepublicDepartment of Optics, Palacky University , 17. listopadu 12, 77146 Olomouc, Czech RepublicDepartment of Optics, Palacky University , 17. listopadu 12, 77146 Olomouc, Czech RepublicDepartment of Optics, Palacky University , 17. listopadu 12, 77146 Olomouc, Czech RepublicDepartamento de Óptica, Facultad de Física, Universidad Complutense , 28040 Madrid, Spain; Max-Planck-Institut für die Physik des Lichts , 91058 Erlangen, GermanyWe show that quantum state tomography with perfect knowledge of the measurement apparatus proves to be, in some instances, inferior to strategies discarding all information about the measurement at hand, as in the case of data pattern tomography. In those scenarios, the larger uncertainty about the measurement is traded for the smaller uncertainty about the reconstructed signal. This effect is more pronounced for minimal or nearly minimal informationally complete measurement settings, which are of utmost practical importance.https://doi.org/10.1088/1367-2630/ac0fffquantum state tomographyquantum detector tomographydata patterns
spellingShingle Libor Motka
Martin Paúr
Jaroslav Řeháček
Zdeněk Hradil
Luis L Sánchez-Soto
When quantum state tomography benefits from willful ignorance
New Journal of Physics
quantum state tomography
quantum detector tomography
data patterns
title When quantum state tomography benefits from willful ignorance
title_full When quantum state tomography benefits from willful ignorance
title_fullStr When quantum state tomography benefits from willful ignorance
title_full_unstemmed When quantum state tomography benefits from willful ignorance
title_short When quantum state tomography benefits from willful ignorance
title_sort when quantum state tomography benefits from willful ignorance
topic quantum state tomography
quantum detector tomography
data patterns
url https://doi.org/10.1088/1367-2630/ac0fff
work_keys_str_mv AT libormotka whenquantumstatetomographybenefitsfromwillfulignorance
AT martinpaur whenquantumstatetomographybenefitsfromwillfulignorance
AT jaroslavrehacek whenquantumstatetomographybenefitsfromwillfulignorance
AT zdenekhradil whenquantumstatetomographybenefitsfromwillfulignorance
AT luislsanchezsoto whenquantumstatetomographybenefitsfromwillfulignorance