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of 4 122
pro vyhledávání: '"error exponents"'
Autor:
Ling, Yan Hao, Scarlett, Jonathan
In this paper, we consider a concatenated coding based class of DNA storage codes in which the selected molecules are constrained to be taken from an ``inner'' codebook associated with the sequencing channel. This codebook is used in a ``black-box''
Externí odkaz:
http://arxiv.org/abs/2409.01223
Autor:
Bugár, Dávid, Vrana, Péter
This paper explores the trade-off relation between the rate and the strong converse exponent for asymptotic LOCC transformations between pure multipartite states. Any single-copy probabilistic transformation between a pair of states implies that an a
Externí odkaz:
http://arxiv.org/abs/2409.01130
Quantum state exclusion is an operational task that has significance in studying foundational questions related to interpreting quantum theory. In such a task, one is given a system whose state is randomly selected from a finite set, and the goal is
Externí odkaz:
http://arxiv.org/abs/2407.13728
Autor:
Espinosa, Sebastián1 (AUTHOR) sebastian.espinosa@ing.uchile.cl, Silva, Jorge F.1 (AUTHOR) josilva@ing.uchile.cl, Céspedes, Sandra2 (AUTHOR) sandra.cespedes@concordia.ca
Publikováno v:
Entropy. Jul2024, Vol. 26 Issue 7, p596. 24p.
Akademický článek
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Autor:
Beigi, Salman, Tomamichel, Marco
We introduce a new quantum decoder based on a variant of the pretty good measurement, but defined via an alternative matrix quotient. We use this decoder to show new lower bounds on the error exponent both in the one-shot and asymptotic regimes for t
Externí odkaz:
http://arxiv.org/abs/2310.09014
Publikováno v:
Letters in Mathematical Physics, Volume 114, Article Number 76, June 2024
The concept of antidistinguishability of quantum states has been studied to investigate foundational questions in quantum mechanics. It is also called quantum state elimination, because the goal of such a protocol is to guess which state, among finit
Externí odkaz:
http://arxiv.org/abs/2309.03723
Autor:
Zhang, Yihan, Vatedka, Shashank
We derive lower bounds on the maximal rates for multiple packings in high-dimensional Euclidean spaces. Multiple packing is a natural generalization of the sphere packing problem. For any $ N>0 $ and $ L\in\mathbb{Z}_{\ge2} $, a multiple packing is a
Externí odkaz:
http://arxiv.org/abs/2211.04408
We revisit $M$-ary classification of Gutman (TIT 1989), where one is tasked to determine whether a testing sequence is generated with the same distribution as one of the $M$ training sequences or not. Our main result is a two-phase test, its theoreti
Externí odkaz:
http://arxiv.org/abs/2210.12736
In this paper, the authors report a way to use concepts from statistical learning to gain an advantage in terms of error exponents while communicating over a discrete memoryless channel. The study utilizes the simulation capability of the scientific
Externí odkaz:
http://arxiv.org/abs/2208.04263