Dispensing of quantum information beyond no-broadcasting theorem-is it possible to broadcast anything genuinely quantum?




Heinosaari Teiko, Jenčová Anna, Plávala Martin

PublisherIOP Publishing Ltd

2023

Journal of Physics A: Mathematical and Theoretical

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

J PHYS A-MATH THEOR

135301

56

13

20

1751-8113

1751-8121

DOIhttps://doi.org/10.1088/1751-8121/acbc5b(external)

https://research.utu.fi/converis/portal/detail/Publication/179380228(external)



No-broadcasting theorem is one of the most fundamental results in quantum information theory; it guarantees that the simplest attacks on any quantum protocol, based on eavesdropping and copying of quantum information, are impossible. Due to the fundamental importance of the no-broadcasting theorem, it is essential to understand the exact boundaries of this limitation. We generalize the standard definition of broadcasting by restricting the set of states which we want to broadcast and restricting the sets of measurements which we use to test the broadcasting. We show that in some of the investigated cases broadcasting is equivalent to commutativity, while in other cases commutativity is not necessary.


Last updated on 2024-26-11 at 20:01