Dr. rer. nat. Martin Möddel (Hofmann)

Universitätsklinikum Hamburg-Eppendorf (UKE)
Sektion für Biomedizinische Bildgebung
Lottestraße 55
2ter Stock, Raum 212
22529 Hamburg
- Postanschrift -

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: martin.moeddel(at)tuhh.de
E-Mail: m.hofmann(at)uke.de
ORCID: https://orcid.org/0000-0002-4737-7863

Research Interests

My research on tomographic imaging is primarily focused on magnetic particle imaging. In this context, I am engaged in the study of a number of problems, including:

  • Image reconstruction
    • Multi-contrast imaging
    • Multi-patch imaging
    • Artifact reduction
  • Magnetic field generation and characterisation
  • Receive path calibration

Curriculum Vitae

Martin Möddel is a postdoctoral researcher 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 the topic of characterizing quantum correlations: the genuine multiparticle negativity as entanglement monotone. Prior to his PhD, he studied physics at the Universität Leipzig between 2005 and 2011, where he received 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: <em>Phys. Rev. Lett.</em>. Jul (2013).
Volume: <strong>111</strong>. 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:

[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: <em>Phys. Rev. Lett.</em>. Jul (2013).
Volume: <strong>111</strong>. 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:

[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: <em>Phys. Rev. Lett.</em>. Jul (2013).
Volume: <strong>111</strong>. 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:

[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: <em>Phys. Rev. Lett.</em>. Jul (2013).
Volume: <strong>111</strong>. 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:

[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.