Quantum Teleportation and Von Neumann Entropy

Details Quantum Teleportation and Von Neumann Entropy Quantum Teleportation and Von Neumann Entropy

2007-07-09

arxiv.org/abs/0707.1227v1

Physics

Quantum Physics

17 pages, 3 figures

Scientific paper

The single qubit quantum teleportation (sender and receiver are Alice and Bob respectively) is analyzed from the aspect of the quantum information theories. The various quantum entropies are computed at each stage, which ensures the emergence of the entangled states in the intermediate step. The mutual information $S(B:C)$ becomes non-zero before performing quantum measurement, which seems to be consistent to the original purpose of the quantum teleportation. It is shown that if the teleported state $|\psi>$ is near the computational basis, the quantum measurement in $C$-system is dominantly responsible for the joint entropy $S(A,C)$ at the final stage. If, however, $|\psi>$ is far from the computational basis, this dominant responsibility is moved into the quantum measurement of system $A$. A possible extension of our results are briefly discussed.

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