In this paper,we present the explicit transformations of the optimal 1 → 3,4,5 phase-covariant cloning in 3 dimensions.The cloning fidelities are covered by the theoretical bounds of the optimal 1 → 3k,3k + 1,3k + 2...In this paper,we present the explicit transformations of the optimal 1 → 3,4,5 phase-covariant cloning in 3 dimensions.The cloning fidelities are covered by the theoretical bounds of the optimal 1 → 3k,3k + 1,3k + 2 phase-covariant cloning of qutrits,where k ≥ 1 is the integral [Phys.Rev.A 67(2003) 042306].展开更多
We discuss the fidelity of states in the infinite-dimensional systems and give an elementary proof of the infinite-dimensional version of Uhlmann's theorem.This theorem is used to generalize several properties of ...We discuss the fidelity of states in the infinite-dimensional systems and give an elementary proof of the infinite-dimensional version of Uhlmann's theorem.This theorem is used to generalize several properties of the fidelity of the finite-dimensional case to the infinite-dimensional case.These are somewhat different from those for the finite-dimensional case.展开更多
基金Supported by the National Natural Science Foundation of China under Grant Nos. 11074002,61073048,and 11104057the Natural Science Foundation of the Education Department of Anhui Province of China under Grant Nos. KJ2010ZD08,KJ2012A245the Postgraduate Program of Huainan Normal University
文摘In this paper,we present the explicit transformations of the optimal 1 → 3,4,5 phase-covariant cloning in 3 dimensions.The cloning fidelities are covered by the theoretical bounds of the optimal 1 → 3k,3k + 1,3k + 2 phase-covariant cloning of qutrits,where k ≥ 1 is the integral [Phys.Rev.A 67(2003) 042306].
基金supported by the National Natural Science Foundation of China(Grant Nos.11171249 and 11101250)the Youth Foundation of Shanxi Province(Grant No.2012021004)the Young Talents Plan for Shanxi University and a grant from the International Cooperation Program in Sciences and Technology of Shanxi(Grant No.2011081039)
文摘We discuss the fidelity of states in the infinite-dimensional systems and give an elementary proof of the infinite-dimensional version of Uhlmann's theorem.This theorem is used to generalize several properties of the fidelity of the finite-dimensional case to the infinite-dimensional case.These are somewhat different from those for the finite-dimensional case.
