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A robust compressive quantum state tomography algorithm using ADMM
KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
2014 (English)In: IFAC Proceedings Volumes (IFAC-PapersOnline), 2014, 6878-6883 p.Conference paper, Published paper (Refereed)
Abstract [en]

The possible state space dimension increases exponentially with respect to the number of qubits. This feature makes the quantum state tomography expensive and impractical for identifying the state of merely several qubits. The recent developed approach, compressed sensing, gives us an alternative to estimate the quantum state with fewer measurements. It is proved that the estimation then can be converted to a convex optimization problem with quantum mechanics constraints. In this paper we present an alternating augmented Lagrangian method for quantum convex optimization problem aiming to recover pure or near pure quantum states corrupted by sparse noise given observables and the expectation values of the measurements. The proposed algorithm is much faster, robust to outlier noises (even very large for some entries) and can solve the reconstruction problem distributively. The simulations verify the superiority of the proposed algorithm and compare it to the conventional least square and compressive quantum tomography using the Dantzig method.

Place, publisher, year, edition, pages
2014. 6878-6883 p.
Keyword [en]
ADMM, Convex optimization and regularization, Quantum state tomography, Rank minimization
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:kth:diva-175127DOI: 10.3182/20140824-6-ZA-1003.01815Scopus ID: 2-s2.0-84929783485ISBN: 9783902823625 (print)OAI: oai:DiVA.org:kth-175127DiVA: diva2:861738
Conference
19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014, 24 August 2014 through 29 August 2014
Note

QC 20151019

Available from: 2015-10-19 Created: 2015-10-09 Last updated: 2015-10-19Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf