8 papers · ranked by Valyu relevance
Utkarsh Azad, Aleksandra Lipińska, Shilpa Mahato, Rijul Sachdeva + 2 more
'Debasmita Bhoumik' 'Ritajit Majumdar'] Surface codes are quantum error correcting codes typically defined on 2D array of qubits. In this paper, a [dx, dz] surface code design is being introduced, where dx(dz) represents the distance of the code for bit (phase) error correction, motivated by the fact that the severity…
Linnea Grans-Samuelsson, Ryan V. Mishmash, David Aasen, Christina Knapp + 4 more
'Christina Knapp' 'Bela Bauer' 'Brad Lackey' 'Marcus P. da Silva' 'Parsa Bonderson'] We devise a new realization of the surface code on a rectangular lattice of qubits utilizing single-qubit and nearest-neighbor two-qubit Pauli measurements and three auxiliary qubits per plaquette. This realization gains substantial…
Asmae Benhemou, Kaavya Sahay, Lingling Lao, Benjamin J. Brown
The development of practical, high-performance decoding algorithms reduces the resource cost of fault-tolerant quantum computing. Here we propose a decoder for the surface code that finds low-weight correction operators for errors produced by the depolarising noise model. The decoder is obtained by mapping the syndrome…
Jennifer Berg, Beth Malmskog, Mckenzie West
In this article, we construct codes with hierarchical locality using natural geometric structures in Artin-Schreier surfaces of the form y p − y = f(x, z). Our main theorem describes the codes, their hierarchical structure and recovery algorithms, and gives parameters. We also develop a family of examples using codes…
Stanley Bram, Diego J. Orea, Graeme Lindsey, Soyu Zi + 5 more
The B cells of the human immune system have evolved somatic hypermutation (SHM) mechanisms that introduce mutations at the immunoglobulin genomic loci at a significantly higher frequency than the rest of the genome thereby allowing them to evolve antibody sequences without compromising fitness due to genome-wide…
Siddhartha Sen, Tomas Ryan, David Muldowney, Maurizio Pezzoli
A special charged surface network with surface spin half particles on it, that can be arranged in topologically inequivalent ways, is introduced. It is shown that action potential-like signals can be generated in the network in response to local surface deformations of a particular kind. Signals generated in this way…
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…
Ahmed Barbar, Anatoly Dymarsky, Alfred D. Shapere
We consider abelian topological quantum field theories (TQFTs) in 3d and show that gaugings of invertible global symmetries naturally give rise to additive codes. These codes emerge as nonanomalous subgroups of the 1-form symmetry group, parameterizing the fusion rules of condensable TQFT anyons. The boundary theories…