In this paper,we investigate the convex roof measures of quantum coherence,with a focus on their superadditive properties.We propose sufficient conditions and establish a framework for coherence superadditivity in tri...In this paper,we investigate the convex roof measures of quantum coherence,with a focus on their superadditive properties.We propose sufficient conditions and establish a framework for coherence superadditivity in tripartite and multipartite systems.Through theoretical derivation,the relevant theorems are given.These results not only expand our understanding of the superadditivity of pure and mixed states but also characterize the conditions under which the superadditivity relations reach equality.Finally,the proposed methods and conclusions are verified through representative examples,providing new theoretical insights into the distribution of quantum coherence in multipartite systems.展开更多
In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′j...In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′js are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions onα′js.Some examples are given to illustrate the possibilities of our results.展开更多
基金supported by the NNSF of China(Grant No.12471427)the Fundamental Research Funds for the Central Universities(Grant No.4303088)。
文摘In this paper,we investigate the convex roof measures of quantum coherence,with a focus on their superadditive properties.We propose sufficient conditions and establish a framework for coherence superadditivity in tripartite and multipartite systems.Through theoretical derivation,the relevant theorems are given.These results not only expand our understanding of the superadditivity of pure and mixed states but also characterize the conditions under which the superadditivity relations reach equality.Finally,the proposed methods and conclusions are verified through representative examples,providing new theoretical insights into the distribution of quantum coherence in multipartite systems.
基金supported by the National Natural Science Foundation of China(No.12001117)the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515110654).
文摘In this article,we study the meromorphic solutions of the following non-linear differential equation■where n and k are integers with n≥k≥3,P_(d)(z,f)is a differential polynomial in f of degree d≤n−1,p′js andα′js are non-zero constants.We obtain the expressions of meromorphic solutions of the above equations under some restrictions onα′js.Some examples are given to illustrate the possibilities of our results.
