2015
DOI: 10.1088/1367-2630/17/11/113002
|View full text |Cite
|
Sign up to set email alerts
|

Hyperdense coding and superadditivity of classical capacities in hypersphere theories

Abstract: In quantum superdense coding, two parties previously sharing entanglement can communicate a two bit message by sending a single qubit. We study this feature in the broader framework of general probabilistic theories. We consider a particular class of theories in which the local state space of the communicating parties corresponds to Euclidian hyperballs of dimension n (the case n = 3 corresponds to the Bloch ball of quantum theory). We show that a single n-ball can encode at most one bit of information, indepe… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1

Citation Types

0
13
0

Year Published

2017
2017
2021
2021

Publication Types

Select...
6
2

Relationship

0
8

Authors

Journals

citations
Cited by 14 publications
(13 citation statements)
references
References 41 publications
(115 reference statements)
0
13
0
Order By: Relevance
“…Further, it would be interesting to examine our result on the ground of general probabilistic theories referred to the receiver's (Bob) system (cf. [44] and references therein).We hope that the results and discussion presented in this paper will stimulate the future research on quantum correlations in a broader context, including their applications and demonstrations.Methods. The proof of our Theorem involves a surprisingly powerful modification of the former analysis presented in [8]: it builds-in tolerance for possible errors in measurement settings.…”
mentioning
confidence: 63%
“…Further, it would be interesting to examine our result on the ground of general probabilistic theories referred to the receiver's (Bob) system (cf. [44] and references therein).We hope that the results and discussion presented in this paper will stimulate the future research on quantum correlations in a broader context, including their applications and demonstrations.Methods. The proof of our Theorem involves a surprisingly powerful modification of the former analysis presented in [8]: it builds-in tolerance for possible errors in measurement settings.…”
mentioning
confidence: 63%
“…Hence, a malicious server cannot learn any of the client's information, and all the client needs to be able to do is prepare single qubit states and send them to the server. 15 Moreover, the security of this protocol has been shown to follow from the no-signalling principle [67]. However, while the server cannot learn the client's computation, they can still tamper with it by deviating from the client's instructions 16 .…”
Section: Discussionmentioning
confidence: 99%
“…Given the advantage of quantum theory over classical theory, it is tempting to ask whether alternative physical theories could offer even larger advantages. Interesting candidates are theories that admit more powerful dense coding protocols than quantum theory [37], as one might expect super-quantum advantages to arise from the presence of stronger correlations with the reference system. In a similar vein, one could explore physical theories with higher dimensional state spaces, such as Zyczkowski's quartic theory [38], or quantum theory on quaterionic Hilbert spaces [39].…”
Section: Discussionmentioning
confidence: 99%