SAMOP 2023 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 35: Quantum Computers: Algorithms and Benchmarking
QI 35.5: Vortrag
Freitag, 10. März 2023, 12:00–12:15, B305
Proposed method to produce large multipartite nonlocality and benchmark quantum computers — •Jan Lennart Bönsel1, Otfried Gühne1, and Adán Cabello2 — 1Universität Siegen, Germany — 2Universidad de Sevilla, Spain
Nonlocality is a characteristic of quantum mechanics that does not occur in a local realistic model. Thus, nonlocality is an interesting property to exclude local realistic models, which can be tested by Bell inequalities. Mermin- and Ardehali-Bell inequalities can be formulated for a large number of qubits N. For these inequalities, the ratio of the quantum violation to the classical bound increases exponentially in N. In practice, the amount of nonlocality that can be produced is limited by noise and restrictions on the possible qubit interactions. In addition, to certify nonlocality, a number of terms that grows exponentially with the number of qubits have to be measured, which becomes infeasible for systems with many qubits.
In this work, we address this problem. On the one hand, we consider the Ardehali-Bell operator for the linear cluster state, which can be prepared by nearest neighbour interactions only. On the other hand, we investigate how the violation of the Bell inequality can be estimated by measuring the terms of the Bell operator at random. For this purpose, we study the confidence level for an observed violation given the number of measured observables. As the linear cluster state is important for quantum computations and can be readily prepared on many quantum computing platforms, the violation of the Bell inequality could serve as a benchmark for quantum computers.