19 papers · ranked by Valyu relevance
Debasmita Bhoumik, Ritajit Majumdar, Dhiraj Madan, Dhinakaran Vinayagamurthy + 2 more
'Dhinakaran Vinayagamurthy' 'Shesha Raghunathan' 'Susmita Sur‐Kolay'] Error syndromes for heavy hexagonal code and other topological codes such as surface code have typically been decoded by using Minimum Weight Perfect Matching (MWPM) based methods. Recent advances have shown that topological codes can be efficiently…
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…
C. Benito, Esperanza López, Borja Peropadre, A. Bermúdez
heavy-hexagonal lattice Authors: ['C. Benito' 'Esperanza López' 'Borja Peropadre' 'A. Bermúdez'] Topological quantum error correction is a milestone in the scaling roadmap of quantum computers, which targets circuits with trillions of gates that would allow running quantum algorithms for real-world problems. The…
Malcolm S. Carroll, James R. Wootton, Andrew W. Cross
infidelity distributions on heavy-hex lattice Authors: ['Malcolm S. Carroll' 'James R. Wootton' 'Andrew W. Cross'] Logical qubits encoded into a quantum code exhibit improved error rates when the physical error rates are sufficiently low, below the pseudothreshold. Logical error rates and pseudothresholds can be…
Younghun Kim, Martin Sevior, Muhammad Usman
The surface code family is a promising approach to implementing fault-tolerant quantum computations. Universal fault-tolerance requires error-corrected non-Clifford operations, in addition to Clifford gates, and for the former, it is imperative to experimentally demonstrate additional resources known as magic states.…
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…
R.G. Rebecca, Giorgio A. Ascoli, Nate M. Sutton, Holger Dannenberg
Spatial periodicity in grid cell firing has been interpreted as a neural metric for space providing animals with a coordinate system in navigating physical and mental spaces. However, the specific computational problem being solved by grid cells has remained elusive. Here, we provide mathematical proof that spatial…
Rebecca RG, Giorgio A Ascoli, Nate M Sutton, Holger Dannenberg + 2 more
'Adrien Peyrache' 'Laura L Colgin'] Spatial periodicity in grid cell firing has been interpreted as a neural metric for space providing animals with a coordinate system in navigating physical and mental spaces. However, the specific computational problem being solved by grid cells has remained elusive. Here, we provide…
Vemund Schøyen, Constantin Bechkov, Markus Borud Pettersen, Erik Hermansen + 4 more
The brain’s ability to navigate is often attributed to spatial cells in the hippocampus and entorhinal cortex. Grid cells, found in the entorhinal cortex, are known for their hexagonal spatial activity patterns and are traditionally believed to be the neural basis for path integration. However, recent studies have cast…
Mao Lin, Kyungjoo Noh
using Gottesman-Kitaev-Preskill codes and maximum likelihood decoding Authors: ['Mao Lin' 'Kyungjoo Noh'] Determining the quantum capacity of a noisy quantum channel is an important problem in the field of quantum communication theory. In this work, we consider the Gaussian random displacement channel Nσ, a type of…
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…
Bo Zhang, Jia Liu
The phenomenon of neuronal replay, the sequential reactivation of hippocampal place cells for past experiences, have been proposed to organize learned knowledges into a cognitive map. Here we used the spin-glass model to simulate the formation of the hexagonal pattern of grid cells, the metric of cognitive map, when…
Man Yi Yim, Steven Walton, Kathryn Hedrick
In an open two-dimensional environment, grid cells in the medial entorhinal cortex are known to be active in multiple locations, displaying a striking periodic hexagonal firing pattern covering the entire space. Both modeling and experimental data suggest that such periodic spatial representations may emerge from a…
Sam Coates, Ron Lifshitz, Akihisa Koga, R. McGrath + 2 more
'Ryuji Tamura'] Exploring nonminimal-rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long-range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting…
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…
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…
Takashi Hayashi, Takeshi Tomomizu, Takamichi Sushida, Masakazu Akiyama + 2 more
Tilling patterns are observed in many biological structures. Hexagonal tilling, commonly observed in the compound eyes of wild-type Drosophila, is dominant in nature; this dominance can probably be attributed to physical restrictions such as structural robustness, minimal boundary length, and space filling efficiency.…
Felipe Coelho Argolo
Conant-Ashby’s (‘good regulator’) theorem states that a simple regulator of a system must behave as an image of it. Notably, evolutionary features present in living beings often mirror natural processes, yielding symmetries between biological structures and the external environment. For instance, nervous cells can…