10 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…
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…
Ben Sorscher, Gabriel C. Mel, Samuel A. Ocko, Lisa Giocomo + 1 more
The discovery of entorhinal grid cells has generated considerable interest in how and why hexagonal firing fields might mechanistically emerge in a generic manner from neural circuits, and what their computational significance might be. Here we forge an intimate link between the computational problem of…
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…
Sangil Lee, Linda Q. Yu, Caryn Lerman, Joseph W. Kable
Across many studies, ventromedial prefrontal cortex (vmPFC) activity has been found to correlate with subjective value during value-based decision-making. Recently, however, vmPFC has also been shown to reflect a hexagonal gridlike code during navigation through physical and conceptual space. This raises the…
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…
Dong Chen, Kai-Jia Sun, Liang Wang, Zhanjun Zhang + 3 more
Grid cells constitute a crucial component of the “GPS” in the mammalian brain. Recent experiments revealed that grid cell activity is anchored to environmental boundaries. More specifically, these results revealed a slight yet consistent offset of 8 degrees relative to boundaries of a square environment. The causes and…
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…