Overview of my latest quantum research
Characterize entanglement and symmetries in Matrix Product States
We characterize the entanglement and local symmetries of Matrix Product States. These states are used in many different fields of physics (from atomic physics to string theory), but also have applications in machine learning.
D. Sauerwein, A. Molnar, J.I. Cirac, and B. Kraus, Phys. Rev. Lett. 123, 170504 (2019) |
My PhD thesis
My PhD thesis covered 6 published articles and 1 preprint. The thesis begins with a brief introduction into quantum information science and entanglement theory. The main results are divided into 3 parts:
The thesis was published by the University of Innsbruck. The cover was designed by Nikola Bartenbach. |
Differential geometry and quantum entanglement
We go beyond the established framework to study optimal transformations of entanglement:
We provide methods to find all protocols that optimally achieve a given entanglement transformation. For almost all transformations there are infinitely many optimal protocols. Almost all optimal transformations can be achieved as a continuous process that can be found as solutions to differential equations or can be found as geodesics in the interconversion metric, which we introduce. This allows to use tools from calculus, geometry and survival analysis to study entanglement transformations. We find new optimal transformations, characterize geometric aspects of entangled quantum states and introduce measures of entanglement that characterize the entanglement of almost all quantum states. D. Sauerwein, K. Schwaiger, and B. Kraus, preprint (2019) |
Finding the most powerful quantum states
We use tools from algebraic geometry and group theory to show that almost all multipartite quantum states (with equal local dimension) have only the trivial local symmetry. This has strong implications for entanglement theory:
The published article includes a popular summary. We also got some news coverage. D. Sauerwein, N. R. Wallach, G. Gour, and B. Kraus, Phys. Rev. X 8, 031020 (2018) |
Quantum complementarity and correlations
We introduce measures of multipartite quantum correlations based on classical correlations in so-called mutually unbiased bases.
D. Sauerwein, C. Macchiavello, L. Maccone, and B. Kraus, Phys. Rev. A 95, 042315 (2017) |
Selected talks
44th SFB Meeting, Vienna, Austria, 13 - 14 December 2018
Workshop on Multipartite Entanglement, Benasque, Spain, 20 – 26 May 2018
Invited talk at the International Symposium on New Frontiers in Quantum Correlations, Kolkata, India, 29 January – 2 February 2018
IQST Seminar, University of Calgary, 9 June 2017
66th Yearly Meeting of the Austrian Physical Society, Vienna, 27 – 29 September 2016
Workshop on Multipartite Entanglement, Benasque, Spain, 20 – 26 May 2018
Invited talk at the International Symposium on New Frontiers in Quantum Correlations, Kolkata, India, 29 January – 2 February 2018
IQST Seminar, University of Calgary, 9 June 2017
66th Yearly Meeting of the Austrian Physical Society, Vienna, 27 – 29 September 2016