Quantum channels transforming Bell local states as unsteerable states
Shu Xiao, Li‐Hua Bai, Zhihua Guo, Cao Huai-xin · Quantum Engineering · 2021
Motivated by the contributions [Sci. Rep. 6, 39063 (2016)] and [Phys. Rev. A 98, 052114 (2018)], we aim to establish a new method for theoretically checking Bell nonlocality of a bipartite state of systems for any finite dimensional Hilbert spaces and , provided that the operator space has an orthonormal basis consisting of the identity operator and Hermitian unitary operators. Our main result induces a quantum channel transforming a Bell local state as an unsteerable state from A to B whenever the parameters T and satisfy the condition . Thus, when and the image is steerable from Ato B, the original state must be Bell nonlocal. Our result not only reveals a deep connection between EPR steerability and Bell nonlocality but also provides a feasible approach to theoretically prove difficultly verified Bell nonlocality by translating it into easily verified steerability.