All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Adaptive compressive tomography: A numerical study

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73598309" target="_blank" >RIV/61989592:15310/19:73598309 - isvavai.cz</a>

  • Result on the web

    <a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.100.012346" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.100.012346</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevA.100.012346" target="_blank" >10.1103/PhysRevA.100.012346</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Adaptive compressive tomography: A numerical study

  • Original language description

    We perform several numerical studies for our recently published adaptive compressive tomography scheme [D. Ahn et al., Phys. Rev. Lett. 122, 100404 (2019)], which significantly reduces the number of measurement settings to unambiguously reconstruct any rank-deficient state without any a priori knowledge besides its dimension. We show that both entangled and product bases chosen by our adaptive scheme perform comparably well with recently known compressed-sensing element-probing measurements, and also beat random measurement bases for low-rank quantum states. We also numerically conjecture asymptotic scaling behaviors for this number as a function of the state rank for our adaptive schemes. These scaling formulas appear to be independent of the Hilbert-space dimension. As a natural development, we establish a faster hybrid compressive scheme that first chooses random bases, and later adaptive bases as the scheme progresses. As an epilogue, we reiterate important elements of informational completeness for our adaptive scheme.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10306 - Optics (including laser optics and quantum optics)

Result continuities

  • Project

    <a href="/en/project/GA18-04291S" target="_blank" >GA18-04291S: Ultimate resolution limits in optical detection and metrology.</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    PHYSICAL REVIEW A

  • ISSN

    2469-9926

  • e-ISSN

  • Volume of the periodical

    100

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    "012346-1"-"1-012346-11"

  • UT code for WoS article

    000477881400004

  • EID of the result in the Scopus database

    2-s2.0-85069847078