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pro vyhledávání: '"Barg A"'
Autor:
Lebedeva-Nesevria N.A., Barg A.O.
Publikováno v:
E3S Web of Conferences, Vol 535, p 03006 (2024)
The research goal was to estimate public satisfaction with ambient air quality in an industrial city in Russia and describe certain peculiarities in the perception of related health risks. The resulting estimates were used as grounds for describing u
Externí odkaz:
https://doaj.org/article/1251a3a098674a0b936d6b5500d74df6
Designing efficient and noise-tolerant quantum computation protocols generally begins with an understanding of quantum error-correcting codes and their native logical operations. The simplest class of native operations are transversal gates, which ar
Externí odkaz:
http://arxiv.org/abs/2410.07595
Autor:
Aydin, Arda, Barg, Alexander
We construct a general family of quantum codes that protect against all emission, absorption, dephasing, and raising/lowering errors up to an arbitrary fixed order. Such codes are known in the literature as absorption-emission (AE) codes. We derive s
Externí odkaz:
http://arxiv.org/abs/2410.03562
Autor:
Pathegama, Madhura, Barg, Alexander
The Learning Parity with Noise (LPN) problem underlies several classic cryptographic primitives. Researchers have endeavored to demonstrate the algorithmic difficulty of this problem by attempting to find a reduction from the decoding problem of line
Externí odkaz:
http://arxiv.org/abs/2408.03742
Autor:
Patra, Adway, Barg, Alexander
We consider regenerating codes in distributed storage systems where connections between the nodes are constrained by a graph. In this problem, the failed node downloads the information stored at a subset of vertices of the graph for the purpose of re
Externí odkaz:
http://arxiv.org/abs/2405.11714
Autor:
Pathegama, Madhura, Barg, Alexander
We consider the problem of distilling uniform random bits from an unknown source with a given $p$-entropy using linear hashing. As our main result, we estimate the expected $p$-divergence from the uniform distribution over the ensemble of random line
Externí odkaz:
http://arxiv.org/abs/2405.04406
Publikováno v:
Quantum 8, 1321 (2024)
We construct a new family of permutationally invariant codes that correct $t$ Pauli errors for any $t\ge 1$. We also show that codes in the new family correct quantum deletion errors as well as spontaneous decay errors. Our construction contains some
Externí odkaz:
http://arxiv.org/abs/2310.05358
A storage code is an assignment of symbols to the vertices of a connected graph $G(V,E)$ with the property that the value of each vertex is a function of the values of its neighbors, or more generally, of a certain neighborhood of the vertex in $G$.
Externí odkaz:
http://arxiv.org/abs/2308.14558
Autor:
Pathegama, Madhura, Barg, Alexander
Publikováno v:
Entropy 2023, 25, 1515
The action of a noise operator on a code transforms it into a distribution on the respective space. Some common examples from information theory include Bernoulli noise acting on a code in the Hamming space and Gaussian noise acting on a lattice in t
Externí odkaz:
http://arxiv.org/abs/2308.11009
We introduce a framework for constructing quantum codes defined on spheres by recasting such codes as quantum analogues of the classical spherical codes. We apply this framework to bosonic coding, obtaining multimode extensions of the cat codes that
Externí odkaz:
http://arxiv.org/abs/2302.11593