Dr. rer. nat. Martin Möddel (Hofmann)

Universitätsklinikum Hamburg-Eppendorf (UKE)
Sektion für Biomedizinische Bildgebung
Lottestraße 55
2ter Stock, Raum 203
22529 Hamburg

Technische Universität Hamburg (TUHH)
Institut für Biomedizinische Bildgebung
Gebäude E, Raum 4.044
Am Schwarzenberg-Campus 3
21073 Hamburg

Tel.:           040 / 7410 56309
E-Mail:       m.hofmann(at)uke.de
E-Mail:       martin.hofmann(at)tuhh.de
ORCID iD: https://orcid.org/0000-0002-4737-7863

Research Interests

My research focus is magnetic particle imaging, where I study a number problems such as:

  • Multi-contrast imaging
  • Image reconstruction
  • Signal processing

Curriculum Vitae

Martin Möddel is a postdoc in the group of Tobias Knopp for experimental Biomedical Imaging at the University Medical Center Hamburg-Eppendorf and the Hamburg University of Technology. He received his PhD in physics from the Universität Siegen in 2014 on Characterizing quantum correlations: the genuine multiparticle negativity as entanglement monotone. Prior to his PhD in between 2005-2011 he studied physics at the Universität Leipzig, where he recieved his Diplom On the costratified Hilbert space structure of a lattice gauge model with semi-simple gauge group.

Journal Publications

[46200]
Title: Device-Independent Entanglement Quantification and Related Applications
Written by: T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne
in: Phys. Rev. Lett. Jul 2013
Volume: 111 Number:
on pages: 030501
Chapter:
Editor:
Publisher: American Physical Society
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1103/PhysRevLett.111.030501
URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.030501
ARXIVID:
PMID:

[doi] [www] [BibTex]

Note: article

Abstract: We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.

[46200]
Title: Device-Independent Entanglement Quantification and Related Applications
Written by: T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne
in: Phys. Rev. Lett. Jul 2013
Volume: 111 Number:
on pages: 030501
Chapter:
Editor:
Publisher: American Physical Society
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1103/PhysRevLett.111.030501
URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.030501
ARXIVID:
PMID:

[doi] [www] [BibTex]

Note: article

Abstract: We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.

Conference Proceedings

[46200]
Title: Device-Independent Entanglement Quantification and Related Applications
Written by: T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne
in: Phys. Rev. Lett. Jul 2013
Volume: 111 Number:
on pages: 030501
Chapter:
Editor:
Publisher: American Physical Society
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1103/PhysRevLett.111.030501
URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.030501
ARXIVID:
PMID:

[doi] [www] [BibTex]

Note: article

Abstract: We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.

[46200]
Title: Device-Independent Entanglement Quantification and Related Applications
Written by: T. Moroder, J.-D. Bancal, Y.-C. Liang, M. Hofmann, and O. Gühne
in: Phys. Rev. Lett. Jul 2013
Volume: 111 Number:
on pages: 030501
Chapter:
Editor:
Publisher: American Physical Society
Series:
Address:
Edition:
ISBN:
how published:
Organization:
School:
Institution:
Type:
DOI: 10.1103/PhysRevLett.111.030501
URL: http://link.aps.org/doi/10.1103/PhysRevLett.111.030501
ARXIVID:
PMID:

[doi] [www] [BibTex]

Note: article

Abstract: We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.