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Q: Fachverband Quantenoptik und Photonik
Q 6: Quantum Information (Concepts and Methods) I
Q 6.5: Talk
Monday, March 5, 2018, 11:45–12:00, K 1.019
Universal extensions of restricted classes of quantum operations - a group theoretic approach — Michal Oszmaniec1 and •Zoltán Zimborás2 — 1Quantum Information Centre of Gdansk, 81-824 Sopot, Poland — 2Wigner Research Centre for Physics, Hungarian Academy of Sciences, P.O. Box 49, H-1525 Budapest, Hungary
For numerous applications of quantum theory it is desirable to be able to apply arbitrary unitary operations on a given quantum system. However, in particular situations only a subset of unitary operations is easily accessible. This raises the question: what additional unitary gates should be added to a given gate-set in order to attain physical universality? In this talk, I will present our recent results on this for three paradigmatic cases: (A) particle-number preserving bosonic linear optics, (B) particle-number preserving fermionic linear optics, and (C) general (not necessarily particle-number preserving) fermionic linear optics. Using recently developed group theoretic tools, we could classify, in each of these scenarios, what sets of gates are generated, if an additional gate is added to the set of allowed transformations [1].
[1] M. Oszmaniec, Z. Zimborás, Phys Rev. Lett. 119, 220502 (2017).