Channel matrix, measurement matrix and collapsed matrix in teleportation
Xin-Wei Zha, Jian-Xia Qi, Hai-Yang Song
TL;DR
This paper introduces and relates different matrix types used in quantum teleportation, providing a criterion based on matrix rank to determine the number of coefficients in an unknown state.
Contribution
It presents new definitions of channel, measurement, and collapsed matrices, and establishes a relation among them, along with a criterion for teleportation based on matrix rank.
Findings
Defined three types of matrices in teleportation
Established relations among these matrices
Provided a rank-based criterion for teleportation success
Abstract
In this paper, two kinds of coefficient matrixes (channel matrix, measurement matrix)associated with the pure state for teleportation are presented, the general relation among channel matrix, measurement matrix and collapsed matrix is obtained. In addition, a criterion for teleportation that the number of coefficient of an unknown state is determined by the rank of the collapsed matrix is given.
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Taxonomy
Topicsgraph theory and CDMA systems · Mathematical Analysis and Transform Methods · Radar Systems and Signal Processing