Regensburg 2022 – wissenschaftliches Programm
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QI: Fachverband Quanteninformation
QI 3: Certification and Benchmarking of Quantum Systems
QI 3.5: Vortrag
Montag, 5. September 2022, 16:15–16:30, H8
Verifying arbitrary entangled state with homogeneous local measurements — •Ye-Chao Liu1,2, Yinfei Li2, Jiangwei Shang2, and Xiangdong Zhang2 — 1Universität Siegen, Siegen, Germany — 2Beijing Institute of Technology, Beijing, China
Quantum state verification is the task that uses only local measurements to judge whether one unknown state is the pure state that we desire. Recently, with the rapid growth in the size of manipulated quantum systems, such a fundamental task attracts more and more attention due to the weakness of the standard tomography method in the efficiency, and many entangled states can be verified efficiently or even optimally. However, how to design a verification protocol for an arbitrary entangled state is still an open problem. In this paper, we present a systematic framework to solve the problem by considering the locality of what we call choice-independent measurement protocols, whose operators can be achieved directly when it is homogeneous. Taking several kinds of entangled states as examples, we demonstrate the concrete processes and results of the design method under the most common Pauli projections. Moreover, our framework can tackle the local protocol design of other tasks, like entanglement witness, which is also an important problem. Finally, all these tasks can be converted into corresponding parameter estimation tasks, whose local protocols can be always easily achieved by our methods.