Robustness of device-independent dimension witnesses

Type: Article

Publication Date: 2012-10-11

Citations: 37

DOI: https://doi.org/10.1103/physreva.86.042312

Abstract

Device-independent dimension witnesses provide a lower bound on the dimensionality of classical and quantum systems in a ``black box''scenario where only correlations between preparations, measurements, and outcomes are considered. We address the problem of the robustness of dimension witnesses, namely that to witness the dimension of a system or to discriminate between its quantum or classical nature, even in the presence of loss. We consider the case when shared randomness is allowed between preparations and measurements and provide a threshold in the detection efficiency such that dimension witnessing can still be performed.

Locations

  • Physical Review A - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Device-Independent Tests of Classical and Quantum Dimensions 2010 Rodrigo Gallego
Nicolas Brunner
Christopher Hadley
Antonio AcĂ­n
+ PDF Chat Shared randomness and device-independent dimension witnessing 2017 Julio I. de Vicente
+ PDF Chat Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices 2014 Joseph Bowles
Marco TĂșlio Quintino
Nicolas Brunner
+ PDF Chat Maximal device-independent randomness in every dimension 2024 Måté Farkas
Jurij Volčič
Sigurd A. L. Storgaard
Ranyiliu Chen
Laura Mančinska
+ PDF Chat Upper bound on certifiable randomness from a quantum black-box device 2019 Marie Ioannou
Jonatan Bohr Brask
Nicolas Brunner
+ PDF Chat Dimension Witnesses and Quantum State Discrimination 2013 Nicolas Brunner
Miguel Navascués
TamĂĄs VĂ©rtesi
+ PDF Chat Witnessing Irreducible Dimension 2017 Wan Cong
Yu Cai
Jean-Daniel Bancal
Valerio Scarani
+ Measurement-device-independent quantification of entanglement for given Hilbert space dimension 2016 Koon Tong Goh
Jean-Daniel Bancal
Valerio Scarani
+ PDF Chat A general bound for the dimension of quantum behaviours in the prepare-and-measure scenario 2019 Julio I. de Vicente
+ PDF Chat Device-independent dimension tests in the prepare-and-measure scenario 2016 Jamie Sikora
Antonios Varvitsiotis
Zhaohui Wei
+ Certification of entangled quantum states and quantum measurements in Hilbert spaces of arbitrary dimension 2023 Shubhayan Sarkar
+ PDF Chat Semi-device-independent security of one-way quantum key distribution 2011 Marcin PawƂowski
Nicolas Brunner
+ PDF Chat Noise-Resistant Device-Independent Certification of Bell State Measurements 2018 Jean-Daniel Bancal
Nicolas Sangouard
Pavel Sekatski
+ PDF Chat Device-independent witness of arbitrary-dimensional quantum systems employing binary-outcome measurements 2018 MikoƂaj Czechlewski
Debashis Saha
Armin Tavakoli
Marcin PawƂowski
+ Device-independent entanglement quantification 2013 Tobias Moroder
Jean-Daniel Bancal
Yeong-Cherng Liang
Martin Hofmann
Otfried GĂŒhne
+ PDF Chat Bounding the quantum dimension with contextuality 2014 Otfried GĂŒhne
Costantino Budroni
AdĂĄn Cabello
Matthias Kleinmann
Jan-Åke Larsson
+ Reductions to IID in Device-independent Quantum Information Processing 2018 Rotem Arnon-Friedman
+ PDF Chat Increased certification of semi-device independent random numbers using many inputs and more post-processing 2016 Piotr Mironowicz
Armin Tavakoli
Alley Hameedi
Breno Marques
Marcin PawƂowski
Mohamed Bourennane
+ PDF Chat Device-independent certification of the Hilbert-space dimension using a family of Bell expressions 2020 A. K. Pan
Shyam Sundar Mahato
+ Certifying entangled measurements in a device-independent way 2011 TamĂĄs VĂ©rtesi
Miguel Navascués

Works That Cite This (27)

Action Title Year Authors
+ Compressibility of Positive Semidefinite Factorizations and Quantum Models 2016 Cyril Stark
Aram W. Harrow
+ PDF Chat Experimental test of nonclassicality with arbitrarily low detection efficiency 2020 Alley Hameedi
Breno Marques
Piotr Mironowicz
Debashis Saha
Marcin PawƂowski
Mohamed Bourennane
+ PDF Chat Interplays between classical and quantum entanglement-assisted communication scenarios 2023 Carlos Vieira
Carlos de Gois
Lucas Pollyceno
Rafael Rabelo
+ PDF Chat Properties of dimension witnesses and their semidefinite programming relaxations 2014 Piotr Mironowicz
Hong-Wei Li
Marcin PawƂowski
+ PDF Chat Relationship between semi- and fully-device-independent protocols 2013 Hong-Wei Li
Piotr Mironowicz
Marcin PawƂowski
Zhen−Qiang Yin
Yu-Chun Wu
Shuang Wang
Wěi ChĂ©n
Honggang Hu
Guang‐Can Guo
Zheng‐Fu Han
+ PDF Chat Global Completability with Applications to Self-Consistent Quantum Tomography 2016 Cyril Stark
+ PDF Chat Device-independent certification of the Hilbert-space dimension using a family of Bell expressions 2020 A. K. Pan
Shyam Sundar Mahato
+ PDF Chat Certifying the Dimension of Classical and Quantum Systems in a Prepare-and-Measure Scenario with Independent Devices 2014 Joseph Bowles
Marco TĂșlio Quintino
Nicolas Brunner
+ PDF Chat Device-independent tests of quantum channels 2017 Michele Dall’Arno
Sarah Brandsen
Francesco Buscemi
+ PDF Chat A general bound for the dimension of quantum behaviours in the prepare-and-measure scenario 2019 Julio I. de Vicente