21 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…
J. Pablo Bonilla Ataides, David K. Tuckett, Stephen D. Bartlett, Steven T. Flammia + 1 more
'Steven T. Flammia' 'Benjamin J. Brown'] Performing large calculations with a quantum computer will likely require a fault-tolerant architecture based on quantum error-correcting codes. The challenge is to design practical quantum error-correcting codes that perform well against realistic noise using modest resources.…
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students may find the theories of error correction and fault tolerance daunting, or they may be stuck with theoretical/outdated schemes (such as the one in the original proof of the threshold theorem by Aharonov…
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…
Nicolas Delfosse
The family of hyperbolic surface codes is one of the rare families of quantum LDPC codes with non-zero rate and unbounded minimum distance. First, we introduce a family of hyperbolic color codes. This produces a new family of quantum LDPC codes with nonzero rate and with minimum distance logarithmic in the blocklength.…
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…
Avaz Naghipour, M. A. Jafarizadeh, S. Shahmorad
This paper presents four new classes of binary quantum codes with minimum distance 3 and 4, namely Class-I, Class-II, Class-III and Class-IV. The classes Class-I and Class-II are constructed based on self-dual orientable embeddings of the complete graphs K4r+1 and K4s and by current graphs and rotation schemes. The…
J. Conrad, C. Chamberland, N. P. Breuckmann, B. M. Terhal
We explore a distance-3 homological CSS quantum code, namely the small stellated dodecahedron code, for dense storage of quantum information and we compare its performance with the distance-3 surface code. The data and ancilla qubits of the small stellated dodecahedron code can be located on the edges respectively…
Nicolas Delfosse
We propose a new strategy to decode color codes, which is based on the projection of the error onto three surface codes. This provides a method to transform every decoding algorithm of surface codes into a decoding algorithm of color codes. Applying this idea to a family of hexagonal color codes, with the perfect…
Friedericke Fischer, Laurin Ernst, Anna Frey, Katrin Holstein + 4 more
Tissue-intrinsic error-correction mechanisms allow epithelial cells to detect aberrant neighboring cells and cause their removal from the tissue. The molecular mechanisms which grant cells the ability to compare their internal states is unknown. Here we demonstrate that comparison of cell identity, created by…
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…
Katherine R. Storrs, Roland W. Fleming
Gloss perception is a challenging visual inference that requires disentangling the contributions of reflectance, lighting, and shape to the retinal image [1–3]. Learning to see gloss must somehow proceed without labelled training data as no other sensory signals can provide the ‘ground truth’ required for supervised…
Cristiano Torezzan, Sueli I. R. Costa, Vinay A. Vaishampayan
—A new class of spherical codes is constructed by selecting a finite subset of flat tori from a foliation of the unit sphere S 2L−1 ⊂ R 2L and designing a structured codebook on each torus layer. The resulting spherical code can be the image of a lattice restricted to a specific hyperbox in R L in each layer. Group…
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…
Shirin Faraji, Johannes Ehrmaier, Maximilian Menger
Here, PySurf is introduced as an innovative code framework, which is specifically designed for rapid prototyping and development tasks for data-science applications in computational chemistry. To illustrate the potential of the framework, a code for nonadiabatic surface-hopping simulations based on the Landau-Zener…
Ruoqiao Chen, Jiayu Zhou, Bin Chen
Cell surface proteins serve as primary drug targets and cell identity markers. The emergence of techniques like CITE-seq has enabled simultaneous quantification of surface protein abundance and transcript expression for multimodal data analysis within individual cells. The published data have been utilized to train…
Yun-Fei Liu, Marina Bedny
Programming is a cornerstone of modern society, yet its cognitive and neural basis remains poorly understood. In this study, we test the hypothesis that programming “recycles” pre-existing neural mechanisms and representations in fronto-parietal reasoning networks. Using fMRI, we scanned programming-naïve…
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…
Authors not listed
In this contribution, we will review the concepts and principles used to characterize and discuss the structure, stability, adsorption properties and catalytic reactivity of bimetallic surfaces in an atomic scale picture. Starting from early stages, we will emphasize recent experimental and theoretical findings that…