Self-testing of different entanglement resources via fixed measurement
settings
- URL: http://arxiv.org/abs/2210.12711v1
- Date: Sun, 23 Oct 2022 12:14:51 GMT
- Title: Self-testing of different entanglement resources via fixed measurement
settings
- Authors: Xinhui Li, Yukun Wang, Yunguang Han, and Shi-Ning Zhu
- Abstract summary: We show that a family of two-qubit entangled states can be self-tested by the same measurement settings.
Our results can be applied to various quantum information processing tasks.
- Score: 4.2168438426143595
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Self-testing, which refers to device independent characterization of the
state and the measurement, enables the security of quantum information
processing task certified independently of the operation performed inside the
devices. Quantum states lie in the core of self-testing as key resources.
However, for the different entangled states, usually different measurement
settings should be taken in self-testing recipes. This may lead to the
redundancy of measurement resources. In this work, we use fixed two-binary
measurements and answer the question that what states can be self-tested with
the same settings. By investigating the structure of generalized tilted-CHSH
Bell operators with sum of squares decomposition method, we show that a family
of two-qubit entangled states can be self-tested by the same measurement
settings. The robustness analysis indicates that our scheme is feasible for
practical experiment instrument. Moreover, our results can be applied to
various quantum information processing tasks.
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