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Mode-locked Tm Fiber Laser with a tapered GIMF SA based on Nonlinear Multimode Interference effect
摘要： Optimal frames have been used in signal processing to minimize the reconstruction errors when erasures occurred during the frame coefficient transmission, and much of the recent work has been focused either on characterizations or on the constructions of optimal frames (or dual frames) prior to signal encoding. In this paper, we propose a new approach, based on the method of optimal directions, which can search adaptively optimal dual frames in the process of signal reconstruction. We provide concrete algorithms for constructing adaptive optimal dual frames and the reconstruction of signals. In addition, several numerical experiments are presented to demonstrate the efficiency and comparison of the new method with the existed methods.
关键词： Erasures,frames,Hilbert spaces,optimal dual frames,reconstruction
更新于2025-09-23 15:19:57
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Semi-device-independent characterization of multipartite entanglement of states and measurements
摘要： The semi-device-independent framework allows one to draw conclusions about properties of an unknown quantum system under weak assumptions. Here we present a semi-device-independent scheme for the characterization of multipartite entanglement based around a game played by several isolated parties whose devices are uncharacterized beyond an assumption about the dimension of their Hilbert spaces. Our scheme can simultaneously certify that an n-partite high-dimensional quantum state features genuine multipartite entanglement, and that a joint measurement on n subsystems is entangled. Moreover, it provides a lower bound on the number of entangled measurement operators. These tests are strongly robust to noise, and even optimal for certain classes of states and measurements, as we demonstrate with illustrative examples. Notably, our scheme allows the certification of many entangled states admitting a local model, which therefore cannot violate any Bell inequality.
关键词： quantum systems,Hilbert spaces,semi-device-independent,entangled measurements,multipartite entanglement
更新于2025-09-09 09:28:46