8 papers · ranked by Valyu relevance
Umesh Uttamrao Shinde, Ravikumar Bandaru
The error correction model’s main purpose in heavy hexagonal quantum codes is to improve their reliability for quantum computing applications. Existing challenges include finding the optimal decoder for quantum error correction in heavy hexagonal codes. This research propels the frontier of quantum error correction…
Umesh Uttamrao Shinde, Ravikumar Bandaru
Heavy hexagonal coding is a type of quantum error-correcting coding in which the edges and vertices of a low-degree graph are assigned auxiliary and physical qubits. While many topological code decoders have been presented, it is still difficult to construct the optimal decoder due to leakage errors and qubit…
Edson Donizete de Carvalho, Waldir Silva Soares Jr., Eduardo Brandani da Silva, Amin Sakzad + 1 more
'Eduardo Brandani da Silva' 'Amin Sakzad' 'Khoa Nguyen'] In this work, we show that an n-dimensional sublattice $Λ′=mΛ$ of an n-dimensional lattice $Λ$ induces a $G=Z_{m}^{n}$ tessellation in the flat torus $(T_{β′}=Rn/Λ′)$, where the group G is isomorphic to the lattice partition $(Λ/Λ′)$. As a consequence, we obtain…
Samir F. Matar, Vladimir L. Solozhenko
Based on superdense C6 with quartz (qtz) topology, new ultrahigh-density hexagonal binary phases, qtz BN and qtz SiC, have been identified from full geometry structure relaxations and ground state energies using calculations based on the quantum density functional theory (DFT) with gradient GGA exchange-correlation XC…
Samir F. Matar, Vladimir L. Solozhenko
Hexagonal carbon allotropes C6, C9 and C12 with qtz, sta and lon topologies, respectively, were predicted on the basis of crystal chemistry and first principles (DFT) calculations. The new allotropes are mechanically (elastic properties) and dynamically (phonons) stable phases and are characterized by ultra-high…
Samir F. Matar, Vladimir L. Solozhenko
In the framework of a crystallochemical approach, new hexagonal (P63/mc) sp3-bonded BN polytypes (4H, 6H and 8H) and ternary BC2N were proposed by rationalized substitutions of C for B and N in hexagonal carbon allotrope C8 (4C carbon) with cfc topology, and density functional theory calculations of their ground states…
Martí Garçon, Andreas Phanopolous, George Sackman, Chris Richardson + 4 more
New heterometallic hydride complexes that involve the addition of {Mg–H} and {Zn–H} bonds to group 10 transition metals (Pd, Pt) are reported. The side-on coordination of a single {Mg–H} to Pd forms a well-defined σ-complex. In contrast, addition of three {Mg–H} or {Zn–H} bonds to Pd or Pt results in the formation of…
Sebastian Günther, Patrick Zeller, Bernhard Böller, Joost Wintterlin
A method is presented to manually determine the lattice parameters of commensurate hexagonal moiré structures resolved by STM. It solves the problem that lattice parameters of moiré structures usually cannot be determined by inspection of an STM image, so that computer-based analyses are required. The lattice vector of…