2025/04/10 by Zhang, Ting, Hou, Jinchuan, Qi, Xiaofei · 2 citations
#FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2504.08132
The resource-theoretic frameworks for quantum imaginarity have been developed in recent years. Within these frameworks, many imaginarity measures for finite-dimensional systems have been proposed. However, for imaginarity of Gaussian states in continuous-variable (CV) systems, there are only two known Gaussian imaginarity measures, which exhibit prohibitive computational complexity when applied to multi-mode Gaussian states. In this paper, we propose a computable Gaussian imaginarity measure \mathcal IGn for n-mode Gaussian systems. The value of \mathcal IGn is simply formulated by the displacement vectors and covariance matrices of Gaussian states. A comparative analysis of IGn with existing two Gaussian imaginarity measures indicates that IGn can be used to detect imaginarity in any n-mode Gaussian states more efficiently. As an application, we study the dynamics behaviour of (1+1)-mode Gaussian states in Gaussian Markovian noise environments for two-mode CV system by utilizing \mathcal IG2. Moreover, we prove that, \mathcal IGn can induce a quantification of any m-multipartite multi-mode CV systems which satisfies all requirements for measures of multipartite multi-mode Gaussian correlations, which unveils that, n-mode Gaussian imaginarity can also be regarded as a kind of multipatite multi-mode Gaussian correlation and is a multipartite Gaussian quantum resource.