Pearson correlation coefficient as a measure for certifying and quantifying high-dimensional entanglement

C. Jebarathinam, Dipankar Home, Urbasi Sinha

研究成果: Article同行評審

4 引文 斯高帕斯(Scopus)

摘要

A scheme for characterizing entanglement using the statistical measure of correlation given by the Pearson correlation coefficient (PCC) was recently suggested that has remained unexplored beyond the qubit case. Towards the application of this scheme for the high-dimensional states, a key step has been taken in a very recent work by experimentally determining PCC and analytically relating it to Negativity for quantifying entanglement of the empirically produced bipartite pure state of spatially correlated photonic qutrits. Motivated by this work, we present here a comprehensive study of the efficacy of such an entanglement characterizing scheme for a range of bipartite qutrit states by considering suitable combinations of PCCs based on a limited number of measurements. For this purpose, we investigate the issue of necessary and sufficient certification together with quantification of entanglement for the two-qutrit states comprising maximally entangled state mixed with white noise and colored noise in two different forms, respectively. Further, by considering these classes of states for d=4 and 5, extension of this PCC-based approach for higher dimensions (d) is discussed.

原文English
文章編號022112
期刊Physical Review A
101
發行號2
DOIs
出版狀態Published - 2020 2月

All Science Journal Classification (ASJC) codes

  • 原子與分子物理與光學

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