Freiburg 2024 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 53: Quantum Control
Q 53.2: Talk
Thursday, March 14, 2024, 14:45–15:00, HS 3118
Determining the ability for universal quantum computing: Testing controllability via dimensional expressivity — •Fernando Gago-Encinas1, Tobias Hartung2, 3, Daniel M. Reich1, Karl Jansen4, and Christiane P. Koch1 — 1Freie Universität Berlin, Berlin, Germany — 2Northeastern University London, London, United Kingdom — 3Northeastern University, Boston, Massachusetts, USA — 4NIC, DESY, Zeuthen, Germany
Universal quantum computing requires a quantum system that is operator-controllable. However, the number of resources required for controllability in complex systems is not obvious and, moreover, assessing this property on the systems themselves is a difficult task to achieve in practice. In this project we present a hybrid quantum-classical algorithm, uniting quantum measurements and classical calculations.
The key to our approach is the design of a parametrized quantum circuit (PQC), which can be run on the original system with some auxiliary qubits. By applying dimensional expressivity analysis we are able to count the number of independent parameters in the PQC. This represents the dimensional expressivity of the PQC, which is then linked back to the controllability of the initial system.
Keywords: controllability; parametric quantum circuits; expressivity; quantum computing