Measurement dependent locality
The demonstration and use of Bell-nonlocality, a concept that is fundamentally striking and is at the core of applications in device independent quantum information processing, relies heavily on the assumption of measurement independence, also called the assumption of free choice. The latter cannot...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2016-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/18/5/055006 |
| _version_ | 1797750975327371264 |
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| author | Gilles Pütz Nicolas Gisin |
| author_facet | Gilles Pütz Nicolas Gisin |
| author_sort | Gilles Pütz |
| collection | DOAJ |
| description | The demonstration and use of Bell-nonlocality, a concept that is fundamentally striking and is at the core of applications in device independent quantum information processing, relies heavily on the assumption of measurement independence, also called the assumption of free choice. The latter cannot be verified or guaranteed. In this paper, we consider a relaxation of the measurement independence assumption. We briefly review the results of Pütz et al (2014 Phys. Rev. Lett. http://dx.doi.org/10.1103/PhysRevLett.113.190402 113 http://dx.doi.org/10.1103/PhysRevLett.113.190402 ), which show that with our relaxation, the set of so-called measurement dependent local (MDL) correlations is a polytope, i.e. it can be fully described using a finite set of linear inequalities. Here we analyze this polytope, first in the simplest case of two parties with binary inputs and outputs, for which we give a full characterization. We show that partially entangled states are preferable to the maximally entangled state when dealing with measurement dependence in this scenario. We further present a method which transforms any Bell-inequality into an MDL inequality and give valid inequalities for the case of arbitrary number of parties as well as one for arbitrary number of inputs. We introduce the assumption of independent sources in the measurement dependence scenario and give a full analysis for the bipartite scenario with binary inputs and outputs. Finally, we establish a link between measurement dependence and another strong hindrance in certifying nonlocal correlations: nondetection events. |
| first_indexed | 2024-03-12T16:40:38Z |
| format | Article |
| id | doaj.art-8f596bc2be8f43329501a3ba890fc648 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:40:38Z |
| publishDate | 2016-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-8f596bc2be8f43329501a3ba890fc6482023-08-08T14:30:58ZengIOP PublishingNew Journal of Physics1367-26302016-01-0118505500610.1088/1367-2630/18/5/055006Measurement dependent localityGilles Pütz0Nicolas Gisin1University of Geneva , ETH Zurich, SwitzerlandUniversity of Geneva , SwitzerlandThe demonstration and use of Bell-nonlocality, a concept that is fundamentally striking and is at the core of applications in device independent quantum information processing, relies heavily on the assumption of measurement independence, also called the assumption of free choice. The latter cannot be verified or guaranteed. In this paper, we consider a relaxation of the measurement independence assumption. We briefly review the results of Pütz et al (2014 Phys. Rev. Lett. http://dx.doi.org/10.1103/PhysRevLett.113.190402 113 http://dx.doi.org/10.1103/PhysRevLett.113.190402 ), which show that with our relaxation, the set of so-called measurement dependent local (MDL) correlations is a polytope, i.e. it can be fully described using a finite set of linear inequalities. Here we analyze this polytope, first in the simplest case of two parties with binary inputs and outputs, for which we give a full characterization. We show that partially entangled states are preferable to the maximally entangled state when dealing with measurement dependence in this scenario. We further present a method which transforms any Bell-inequality into an MDL inequality and give valid inequalities for the case of arbitrary number of parties as well as one for arbitrary number of inputs. We introduce the assumption of independent sources in the measurement dependence scenario and give a full analysis for the bipartite scenario with binary inputs and outputs. Finally, we establish a link between measurement dependence and another strong hindrance in certifying nonlocal correlations: nondetection events.https://doi.org/10.1088/1367-2630/18/5/055006localitymeasurement dependencequantum informationnonlocalitydetection |
| spellingShingle | Gilles Pütz Nicolas Gisin Measurement dependent locality New Journal of Physics locality measurement dependence quantum information nonlocality detection |
| title | Measurement dependent locality |
| title_full | Measurement dependent locality |
| title_fullStr | Measurement dependent locality |
| title_full_unstemmed | Measurement dependent locality |
| title_short | Measurement dependent locality |
| title_sort | measurement dependent locality |
| topic | locality measurement dependence quantum information nonlocality detection |
| url | https://doi.org/10.1088/1367-2630/18/5/055006 |
| work_keys_str_mv | AT gillesputz measurementdependentlocality AT nicolasgisin measurementdependentlocality |