SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Control (joint session QI/Q)

Q 46.3: Talk

Thursday, March 9, 2023, 11:45–12:00, B305

Graph test for controllability of qubit arrays — •Fernando Gago-Encinas, Monika Leibscher, and Christiane P. Koch — Freie Universität Berlin, Arnimallee 14, 14195 Berlin

Universal quantum computing requires evolution-operator controllability of the system used as quantum processing unit. Given a specific architecture characterized by the two-qubit couplings and local controls it uses, we seek to determine whether it is controllable or not. The standard test constructing the dynamical Lie algebra becomes demanding and even unfeasible already for a relatively small number of qubits. We present a controllability test for arrays of coupled qubits based on graph theory that significantly broadens the number of cases that can be analyzed. We showcase the algorithm for different examples, including some systems based on IBM's devices.