Since January 2016 I have been working as a Senior Research Associate in the School of Mathematics at the University of Bristol. I hold a PhD degree in Quantum Information from the Department of Combinatorics and Optimization at the University of Waterloo, Canada (advisors: Andrew Childs and Debbie Leung). During my graduate studies I was affiliated with the Institute for Quantum Computing. Originally I come from Latvia, where I did my undergaduate degree in computer science.
Broadly speaking, my research falls within the area of quantum information and computing, a field formed at the intersection of mathematics, computer science, and physics. I have collaborated with people from all of these three major sciences on projects with very different focuses (see my arXiv page).
Currently my main interest is nonlocal games. In physics they appear as Bell inequalities while in computer science they correspond to proof systems. I am especially interested in the amount of entanglement the players need in order to reach or approach optimal performance.
Another subject that I continuously return to deals with the framework in which separated parties are restricted to local quantum operations and classical communication (LOCC). In my thesis I investigated the separable state discrimination using LOCC. Together with my co-authors, we have resolved a long-standing open question and showed that 2-party LOCC is not topologically closed (see arXiv:1210.4583).
Unbounded entanglement can be needed to achieve the optimal success probabilityL. Mančinska and T. Vidick Proc. of ICALP'14, LNCS 8572, 835–846, (2014) arXiv: 1402.4145
Graph homomorphisms for quantum playersL. Mančinska and D. Roberson To appear in J. Combin. Theory, Ser. B (2016) arXiv:1212.1724 Featured talk at TQC 2014.
Everything you wanted to know about LOCC (but were afraid to ask)E. Chitambar, D. Leung, L. Mančinska, M. Ozols, and A. Winter Commun. Math. Phys. 328(1) pp. 303–326, (2014) arXiv:1210.4583
Contributed talk at QIP 2013.
Entanglement can increase asymptotic rates of zero-error classical communication over classical channelsD. Leung, L. Mančinska, W. Matthews, M. Ozols, and A. Roy Commun. Math. Phys. 311(1), pp. 97–111 (2012) arXiv:1009.1195
Featured talk at QIP 2011.