Search results for: dimension witnesses

• Properties of dimension witnesses and their semidefinite programming relaxations

  Publication

  • P. A. Mironowicz
  • H. Li
  • M. Pawłowski

  - PHYSICAL REVIEW A - Year 2014

  In this paper we develop a method for investigating semi-device-independent randomness expansion protocols that was introduced in Li et al. [H.-W. Li, P. Mironowicz, M. Pawłowski, Z.-Q. Yin, Y.-C. Wu, S. Wang, W. Chen, H.-G. Hu, G.-C. Guo, and Z.-F. Han, Phys. Rev. A 87, 020302(R) (2013)]. This method allows us to lower bound, with semi-definite programming, the randomness obtained from random number generators based on dimension...

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• Relationship between semi- and fully-device-independent protocols

  Publication

  • H. Li
  • P. A. Mironowicz
  • M. Pawłowski
  • Z. Yin
  • Y. Wu
  • S. Wang
  • W. Chen
  • H. Hu
  • G. Guo
  • Z. Han

  - PHYSICAL REVIEW A - Year 2013

  We study the relation between semi and fully device independent protocols. As a tool, we use the correspondence between Bell inequalities and dimension witnesses. We present a method for converting the former into the latter and vice versa. This relation provides us with interesting results for both scenarios. First, we find new random number generation protocols with higher bit rates for both the semi and fully device independent...

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• Applications of semi-definite optimization in quantum information protocols

  Publication

  • P. A. Mironowicz

  - Year 2016

  This work is concerned with the issue of applications of the semi-definite programming (SDP) in the field of quantum information sci- ence. Our results of the analysis of certain quantum information protocols using this optimization technique are presented, and an implementation of a relevant numerical tool is introduced. The key method used is NPA discovered by Navascues et al. [Phys. Rev. Lett. 98, 010401 (2007)]. In chapter...