16 papers · ranked by Valyu relevance
Authors not listed
Practical quantum computing will require error rates well below those achievable with physical qubits. Quantum error correction1,2 offers a path to algorithmically relevant error rates by encoding logical qubits within many physical qubits, for which increasing the number of physical qubits enhances protection against…
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…
Fang Zhang, Jianxin Chen, Giuliano Benenti
Error correction is an essential part of the theory of quantum computation. However, new quantum computation students may find the theories of error correction and fault tolerance daunting, or they may be stuck with theoretical/outdated schemes (such as the one in the original proof of the threshold theorem by Aharonov…
Thomas R. Scruby, Kae Nemoto, Zhenyu Cai
We show how looped pipeline architectures-which use short-range shuttling of physical qubits to achieve bounded non-local connectivity-can efficiently implement the fault-tolerant non-Clifford gate between 2D surface codes described in (Sci. Adv. 6, eaay4929 (2020)). The shuttling schedule required is only marginally…
Avimita Chatterjee, Debarshi Kundu, Swaroop Ghosh, Lu Wei + 3 more
'Daiwei Zhu' 'Jason Iaconis' 'Torin F. Stetina'] In the evolving field of quantum computing, optimizing Quantum Error Correction (QEC) parameters is crucial due to the varying types and amounts of physical noise across quantum computers. Traditional simulators use a forward paradigm to derive logical error rates from…
Craig Gidney, Michael Newman, Peter Brooks, Cody Jones
One of the biggest obstacles to building a large scale quantum computer is the high qubit cost of protecting quantum information. For two-dimensional architectures, the surface code has long been the leading candidate quantum memory, but can require upwards of a thousand physical qubits per logical qubit to reach…
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…
Emmanuel Ren, François-Xavier Coudert
Molecular adsorption in nanoporous materials has many large-scale industrial applications ranging from separation to storage. To design the best materials, computational simulations are key in guiding the experimentation and engineering processes. Because nanoporous materials exist in a plethora of forms, we need to…
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…
Authors not listed
Heterogeneous and electrocatalysts play a crucial role in enabling various industrial chemical transformations, with quantum chemistry calculations serving as a fundamental tool for investigating their atomic-scale properties. Advances in computational power have facilitated the study of increasingly complex catalytic…
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…
Shomik Verma, Daniel Farrell, Rachel Evans
Luminescent solar concentrators (LSCs) are a promising technology to help integrate solar cells into the built environment, as they are colorful, semi-transparent, and can collect diffuse light. While LSCs have traditionally been cuboidal, in recent years a variety of unconventional geometries have arisen, for example…