Abstract
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.
| Original language | English |
|---|---|
| Article number | 135301 |
| Journal | Journal of Physics A: Mathematical and Theoretical |
| Volume | 56 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 31 Mar 2023 |
| MoE publication type | A1 Journal article-refereed |
Funding
This research has been supported by Academy of Finland mobility cooperation funding (Grant No. 434228) and DAAD Joint Research Cooperation Scheme (Project No. 57570110). A J acknowledges support from the Grant VEGA 1/0142/20 and the Slovak Research and Development Agency Grant APVV-20-0069. M P acknowledges support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation, Project Numbers 447948357 and 440958198), the Sino-German Center for Research Promotion (Project M-0294), the ERC (Consolidator Grant 683107/TempoQ), the German Ministry of Education and Research (Project QuKuK, BMBF Grant No. 16KIS1618K), and the Alexander von Humboldt Foundation.
Keywords
- commutativity
- no-broadcasting
- no-cloning