---
_id: '8180'
abstract:
- lang: eng
  text: 'Given a bipartite quantum state rho with subsystems A and B of arbitrary
    dimensions, we study the entanglement detecting capabilities of locally noneffective,
    or cyclic, unitary operations [L. B. Fu, Europhys. Lett., vol. 75, pp. 1-7, 2006].
    Local cyclic unitaries have the special property that they leave their target
    subsystem invariant. We investigate the distance between rho and the global state
    after local application of such unitaries as a possible indicator of entanglement.
    To this end, we derive and discuss closed formulae for the maximal such distance
    achievable for three cases of interest: (pseudo)pure quantum states, Werner states,
    and two-qubit states. What makes this criterion interesting, as we show here,
    is that it surprisingly displays behavior similar to recent anomalies observed
    for non-locality measures in higher dimensions, as well as demonstrates an equivalence
    to the CHSH inequality for certain classes of two-qubit states. Yet, despite these
    similarities, the criterion is not itself a non-locality measure. We also consider
    entanglement detection in bound entangled states.'
article_type: original
author:
- first_name: Sevag
  full_name: Gharibian, Sevag
  id: '71541'
  last_name: Gharibian
  orcid: 0000-0002-9992-3379
- first_name: Hermann
  full_name: Kampermann, Hermann
  last_name: Kampermann
- first_name: Dagmar
  full_name: Bru{\ss}, Dagmar
  last_name: Bru{\ss}
citation:
  ama: Gharibian S, Kampermann H, Bru{\ss} D. On global effects caused by locally
    noneffective unitary operations. <i>Quantum Information &#38; Computation</i>.
    2009;9(11):1013-1029.
  apa: Gharibian, S., Kampermann, H., &#38; Bru{\ss}, D. (2009). On global effects
    caused by locally noneffective unitary operations. <i>Quantum Information &#38;
    Computation</i>, <i>9</i>(11), 1013–1029.
  bibtex: '@article{Gharibian_Kampermann_Bru{\ss}_2009, title={On global effects caused
    by locally noneffective unitary operations}, volume={9}, number={11}, journal={Quantum
    Information &#38; Computation}, author={Gharibian, Sevag and Kampermann, Hermann
    and Bru{\ss}, Dagmar}, year={2009}, pages={1013–1029} }'
  chicago: 'Gharibian, Sevag, Hermann Kampermann, and Dagmar Bru{\ss}. “On Global
    Effects Caused by Locally Noneffective Unitary Operations.” <i>Quantum Information
    &#38; Computation</i> 9, no. 11 (2009): 1013–29.'
  ieee: S. Gharibian, H. Kampermann, and D. Bru{\ss}, “On global effects caused by
    locally noneffective unitary operations,” <i>Quantum Information &#38; Computation</i>,
    vol. 9, no. 11, pp. 1013–1029, 2009.
  mla: Gharibian, Sevag, et al. “On Global Effects Caused by Locally Noneffective
    Unitary Operations.” <i>Quantum Information &#38; Computation</i>, vol. 9, no.
    11, 2009, pp. 1013–29.
  short: S. Gharibian, H. Kampermann, D. Bru{\ss}, Quantum Information &#38; Computation
    9 (2009) 1013–1029.
date_created: 2019-03-01T12:12:13Z
date_updated: 2023-02-28T11:04:50Z
department:
- _id: '623'
- _id: '7'
extern: '1'
external_id:
  arxiv:
  - '0809.4469'
intvolume: '         9'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/0809.4469
oa: '1'
page: 1013-1029
publication: Quantum Information & Computation
publication_status: published
status: public
title: On global effects caused by locally noneffective unitary operations
type: journal_article
user_id: '71541'
volume: 9
year: '2009'
...