The Quantification of Quantum Nonlocality by Characteristic Function
quant-ph
/ Authors
/ Abstract
Quantum nonlocal correlation (QNC) is thought to be more general than quantum entanglement correlation, but the strength of it has not been well defined. We propose a way to measure the strength of QNC basing on the characteristic function. The characteristic function of QNC in a composite system is defined as a response function under the local quantum measurement. It is explored that once a characteristic function is given, the state of a composite system, with just a local trace-preserving quantum operation uncertainty, will be determined. We show that the strength of QNC basing on the characteristic function is a half-positive-definite function and does not change under any LU operation. For a two-partite pure state, the strength of QNC is equivalent to the quantum entanglement. Generally, we give a new definition for quantum entanglement using the strength function. Furthermore, we also give a separability-criterion for 2\timesm-dimensional mixed real matrix. This letter proposes an alternate way for QNC further research.