20 papers · ranked by Valyu relevance
Avimita Chatterjee, Subrata Das, Swaroop Ghosh, Ivano Ruo-Berchera
Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors effectively. Among these, topological codes, particularly surface…
Ivan B. Djordjevic
In this paper, we propose the surface codes (SCs)-based multipartite quantum communication networks (QCNs). We describe an approach that enables us to simultaneously entangle multiple nodes in an arbitrary network topology based on the SCs. We also describe how to extend the transmission distance between arbitrary two…
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…
Antonio deMarti iOlius, Patricio Fuentes, Román Orús, Pedro M. Crespo + 1 more
'Pedro M. Crespo' 'Josu Etxezarreta Martínez'] Quantum technologies have the potential to solve certain computationally hard problems with polynomial or super-polynomial speedups when compared to classical methods. Unfortunately, the unstable nature of quantum information makes it prone to errors. For this reason…
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…
Pradeep Kiran Sarvepalli
Recently, a new class of quantum codes based on hypermaps were proposed. These codes are obtained from embeddings of hypergraphs as opposed to surface codes which are obtained from the embeddings of graphs. It is natural to compare these two classes of codes and their relation to each other. In this context two related…
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.…
Jonathan E. Moussa
Surface and color codes are two forms of topological quantum error correction in two spatial dimensions with complementary properties. Surface codes have lower-depth error detection circuits and well-developed decoders to interpret and correct errors, while color codes have transversal Clifford gates and better code…
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…
Arjun Nitin Bhagoji, Pradeep Kiran Sarvepalli
—In a recent work, Bombin, Duclos-Cianci, and Poulin showed that every local translationally invariant 2D topological stabilizer code is locally equivalent to a finite number of copies of Kitaev's toric code. For 2D color codes, Delfosse relaxed the constraint on translation invariance and mapped a 2D color code onto…
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…
Shuo Liu, Tie Jun Cui
Metamaterials or metasurfaces have been designed to precisely manipulate the scattering at every angle. Here, we propose to control the probability of random scattering appearing in the desired range of angles, which is defined in this letter as scattering cloud. We present a controllable random metasurface by simply…
Johan P. Hansen
| 1. | | Introduction | . | . | . | . | . | . | 2 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | | | 1.1. | Error correcting codes | | | . | . | . | . | 2 | | 2. | | Toric varieties | . | . | . | . | . | . | 3 | | | 2.1. | Polytopes, normal fans and support functions | | | | | . | . | 3 | | | 2.2. |…
Andreas Scheck, Stéphane Rosset, Michaël Defferrard, Andreas Loukas + 3 more
Proteins are typically represented by discrete atomic coordinates providing an accessible framework to describe different conformations. However, in some fields proteins are more accurately represented as near-continuous surfaces, as these are imprinted with geometric (shape) and chemical (electrostatics) features of…
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…
Lea Sirugue, Florent Langenfeld, Nathalie Lagarde, Matthieu Montes
The study of protein molecular surfaces enable to better understand and predict protein interactions. Different methods have been developed in computer vision to compare surfaces that can be applied to protein molecular surfaces. The present work proposes a method using the the Wave Kernel Signature : Protein LOcal…
Yang Li, Baofu Qiao, Monica Olvera de la Cruz
The surface of proteins is vital in determining protein functions. Herein, a program, Protein Surface Printer(PSP), is built that performs multiple functions in quantifying protein surface domains. Two proteins, PETase and cytochrome P450, are used to validate that the program supports atomistic simulations with…
Marco Pegoraro, Clémentine Dominé, Emanuele Rodolà, Petar Veličković + 1 more
Antibody-antigen interactions play a crucial role in identifying and neutralizing harmful foreign molecules. In this paper, we investigate the optimal representation for predicting the binding sites in the two molecules and emphasize the importance of geometric information. Specifically, we compare different geometric…
Sung Sakong, Axel Groß, R. Jürgen Behm
As an example for bimetallic surfaces in general, we have systematically investigated the thermodynamic surface properties of bimetallic Ag/Pt(111) and Ag/Pd(111) surfaces, including pseudomorphic Ag film covered surfaces and M1Ag3/M(111) (M = Pt, Pd) monolayer surface alloys, by periodic density functional theory…
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…