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The boundaries and twist defects of the color code and their applications to topological quantum computation [PDF]

open access: yesQuantum, 2018
The color code is both an interesting example of an exactly solved topologically ordered phase of matter and also among the most promising candidate models to realize fault-tolerant quantum computation with minimal resource overhead. The contributions of
Markus S. Kesselring   +3 more
doaj   +3 more sources

Pauli topological subsystem codes from Abelian anyon theories [PDF]

open access: yesQuantum, 2023
We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional Abelian anyon theories–this includes anyon theories with degenerate braiding relations and those without a gapped boundary to the vacuum.
Tyler D. Ellison   +5 more
doaj   +1 more source

Practical applications of Set Shaping Theory in Huffman coding

open access: yesSSRN Electronic Journal, 2022
One of the biggest criticisms of the Set Shaping Theory is the lack of a practical application. This is due to the difficulty of its application. In fact, to apply this technique from an experimental point of view we must use a table that defines the correspondences between two sets.
Schmidt, Christian   +2 more
openaire   +3 more sources

Metode Reversible Self-Dual untuk Konstruksi Kode DNA atas Lapangan Hingga GF(4)

open access: yesJambura Journal of Mathematics, 2022
The DNA molecule chain consists of two complementary strands composed of a sequence of four nucleotide bases, namely adenine (A), cytosine (C), guanine (G) and thymine (T).
Juli Loisiana Butar-Butar   +1 more
doaj   +1 more source

Limits on wCDM from the EFTofLSS with the PyBird code [PDF]

open access: yesJournal of Cosmology and Astroparticle Physics, 2020
We apply the Effective Field Theory of Large-Scale Structure to analyze the wCDM cosmological model. By using the full shape of the power spectrum and the BAO post-reconstruction measurements from BOSS, the Supernovae from Pantheon, and a prior from BBN,
G. D’Amico, L. Senatore, Pierre Zhang
semanticscholar   +1 more source

Methods of Numeration of Discrete Sequences

open access: yesКібернетика та комп'ютерні технології, 2021
Introduction. Numeration, or code, discrete sequences act fundamental part in the theory of recognition and estimation. By the code get codes or indexes of the programs and calculated functions.
N.A. Gupal
doaj   +1 more source

Wannier90 as a community code: new features and applications [PDF]

open access: yesJournal of Physics: Condensed Matter, 2019
Wannier90 is an open-source computer program for calculating maximally-localised Wannier functions (MLWFs) from a set of Bloch states. It is interfaced to many widely used electronic-structure codes thanks to its independence from the basis sets ...
G. Pizzi   +30 more
semanticscholar   +1 more source

Ready, set, verify! applying hs-to-coq to real-world Haskell code (experience report) [PDF]

open access: yesJournal of functional programming, 2018
Good tools can bring mechanical verification to programs written in mainstream functional languages. We use hs-to-coq to translate significant portions of Haskell’s containers library into Coq, and verify it against specifications that we derive from a ...
Joachim Breitner   +5 more
semanticscholar   +1 more source

Non-isometric quantum error correction in gravity

open access: yesJournal of High Energy Physics, 2023
We construct and study an ensemble of non-isometric error correcting codes in a toy model of an evaporating black hole in two-dimensional dilaton gravity. In the preferred bases of Euclidean path integral states in the bulk and Hamiltonian eigenstates in
Arjun Kar
doaj   +1 more source

The "life code": a theory that unifies the human life cycle and the origin of human tumors.

open access: yesSeminars in Cancer Biology, 2020
Tumors arise from the transformation of normal stem cells or mature somatic cells. Intriguingly, two types of tumors have been observed by pathologists for centuries: well-differentiated tumors and undifferentiated tumors.
Jinsong Liu
semanticscholar   +1 more source

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