The European Physical Journal D

, 69:209

Quantum marginal problems

Topical Review

DOI: 10.1140/epjd/e2015-60191-7

Cite this article as:
Tyc, T. & Vlach, J. Eur. Phys. J. D (2015) 69: 209. doi:10.1140/epjd/e2015-60191-7

Abstract

The quantum marginal problem asks the question if elements of a given set of quantum states can be reduced states of some joint quantum state. In this paper we present various versions of the quantum marginal problem along with their solutions in the order in which they were published. The review begins with simple finite-dimensional composite systems and ends with results of the Gaussian quantum marginal problem that apply to systems of harmonic oscillators (e.g. modes of the quantum electromagnetic field).

Graphical abstract

Keywords

Quantum Information 

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Theoretical Physics and Astrophysics, Faculty of ScienceMasaryk UniversityBrnoCzech Republic
  2. 2.Department of Computer Science, Faculty of InformaticsMasaryk UniversityBrnoCzech Republic