×

Nonmultiplicativity of probability of faithful teleportation in the Knill-Laflamme-Milburn scheme. (English) Zbl 1197.81076

Horodecki, Ryszard (ed.) et al., Quantum cryptography and computing. Theory and implementation. Selected papers based on the presentations at the workshop, Gdansk, Poland, September 9–12, 2009. Amsterdam: IOS Press (ISBN 978-1-60750-546-4/hbk; 978-1-60750-547-1/ebook). NATO Science for Peace and Security Series D: Information and Communication Security 26, 195-200 (2010).
Summary: We discuss linear optical quantum teleportation in the Knill-Laflamme-Milburn scheme. We calculate the probability of faithful teleportation when one uses nonmaximally entangled states. We show that, for single teleportation, the maximally entangled state is optimal. On the other hand, for a sequence of teleportations, the nonmaximally entangled state is optimal. Hence, the probability of faithful teleportation is nonmultiplicative. We also introduce a measure of the nonmultiplicativity and show that nonmultiplicativity increases with the number of teleportations.
For the entire collection see [Zbl 1194.81015].

MSC:

81P45 Quantum information, communication, networks (quantum-theoretic aspects)
81P40 Quantum coherence, entanglement, quantum correlations
78A10 Physical optics
Full Text: DOI