The Quantum No-Stretching: A geometrical interpretation of the no-cloning theorem
Quantum Physics
2009-12-21 v2
Abstract
We consider the ideal situation in which a space rotation is transferred from a quantum spin j to a quantum spin l different from j. Quantum-information theoretical considerations lead to the conclusion that such operation is possible only for lj. For l>j the optimal stretching transformation is derived. We show that for qubits the present no-stretching theorem is equivalent to the usual no-cloning theorem.
Keywords
Cite
@article{arxiv.0812.1985,
title = {The Quantum No-Stretching: A geometrical interpretation of the no-cloning theorem},
author = {Giacomo Mauro D'Ariano and Paolo Perinotti},
journal= {arXiv preprint arXiv:0812.1985},
year = {2009}
}