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Testing Scalable Bell Inequalities for Quantum Graph States on IBM Quantum Devices
آزمایش نابرابری های بل مقیاس پذیر برای حالت های نمودار کوانتومی در دستگاه های کوانتومی IBM-2022 Testing and verifying imperfect multi-qubit
quantum devices are important as such noisy quantum devices
are widely available today. Bell inequalities are known to be
useful for testing and verifying the quality of the quantum devices
from their nonlocal quantum states and local measurements.
There have been many experiments demonstrating the violations
of Bell inequalities, but they are limited in the number of qubits
and the types of quantum states. We report violations of Bell
inequalities on IBM Quantum devices based on the scalable
and robust inequalities maximally violated by graph states as
proposed by Baccari et al.. The violations are obtained from
the quantum states of path graphs up to 57 and 21 qubits
on a 65-qubit and two 27-qubit IBM Quantum devices,
respectively, and from those of star graphs up to 11 qubits
with quantum readout error mitigation (QREM). We are able
to show violations of the inequalities on various graph states
by constructing low-depth quantum circuits and by applying
the QREM technique. We also point out that quantum circuits
for star graph states of size N can be realized with circuits
of depth O(√N) on subdivided honeycomb lattices which
are the topology of the 65-qubit IBM Quantum device. Our
experiments show encouraging results on the ability of existing
quantum devices to prepare entangled quantum states and
provide experimental evidence on the benefit of scalable Bell
inequalities for testing them.
Index Terms—Quantum computing | IBM quantum | benchmarking | graph state | bell inequality. |
مقاله انگلیسی |
2 |
الگوریتم خوشه بندی موازی در گراف ستاره و کارایی آن
سال انتشار: 2013 - تعداد صفحات فایل pdf انگلیسی: 12 - تعداد صفحات فایل doc فارسی: 28 |
مقاله ترجمه شده |