A5039322992- Quantum Computing Algorithms and Architecture
- Quantum Information and Cryptography
- Error Correcting Code Techniques
- Genomics and Chromatin Dynamics
- Advanced Wireless Communication Techniques
- DNA Repair Mechanisms
- CRISPR and Genetic Engineering
- Quantum many-body systems
- RNA and protein synthesis mechanisms
- Fire effects on ecosystems
- Semiconductor Quantum Structures and Devices
- Light effects on plants
- Neural Networks and Reservoir Computing
- Quantum and electron transport phenomena
- Tensor decomposition and applications
- Coding theory and cryptography
- Advanced Data Storage Technologies
- Quantum-Dot Cellular Automata
- Multilevel Inverters and Converters
- RNA Research and Splicing
- Geological Studies and Exploration
- Model Reduction and Neural Networks
- Climate change and permafrost
- Microbial Metabolism and Applications
- Polar Research and Ecology
Université du Québec à Trois-Rivières
2024
Université de Sherbrooke
2007-2023
University of Regensburg
2013
We introduce Mitiq, a Python package for error mitigation on noisy quantum computers. Error techniques can reduce the impact of noise near-term computers with minimal overhead in resources by relying mixture sampling and classical post-processing techniques. Mitiq is an extensible toolkit different methods, including zero-noise extrapolation, probabilistic cancellation, Clifford data regression. The library designed to be compatible generic backends interfaces software frameworks. describe...
Quantum low density parity check (LDPC) codes may provide a path to build low-overhead fault-tolerant quantum computers. However, as general LDPC lack geometric constraints, naïve layouts couple many distant qubits with crossing connections which could be hard in hardware and result performance-degrading crosstalk. We propose 2D layout for by decomposing their Tanner graphs into small number of planar layers. Each layer contains long-range do not cross. For any Calderbank-Shor-Steane code...
The Gottesman-Kitaev-Preskill (GKP) code encodes a logical qubit into bosonic system with resilience against single-photon loss, the predominant error in most systems. Here we present experimental results demonstrating quantum correction of GKP states based on reservoir engineering superconducting device. Error is made fully autonomous through an unconditional reset auxiliary transmon qubit. We show that lifetime increased from correction, therefore reaching point at which more errors are...
Floodplains are unique environments that provide a dynamic link between terrestrial and aquatic systems. Intensification of human activity – particularly agriculture urbanisation has resulted in the degradation floodplains worldwide. Restoration sustainable management requires holistic assessment compromise stakeholders to successfully balance environmental, economic, social benefits. Yet, understanding these complex systems sufficiently evidence-based recommendations is challenge. We...
The cytotoxicity of UV light-induced DNA lesions results from their interference with transcription and replication. arrest elongating RNA polymerases, an event that triggers transcription-coupled nucleotide excision repair. Since arrested polymerases reduce the accessibility repair factors to lesions, they might be displaced. fate polymerases-II at has been extensively studied, yielding partially contradictory results. Considerably less is known about polymerases-I transcribe...
Nucleotide excision repair (NER) removes a plethora of DNA lesions. It is performed by large multisubunit protein complex that finds and repairs damaged in different chromatin contexts nuclear domains. The nucleolus the most transcriptionally active domain, yeast, transcription-coupled NER occurs RNA polymerase I-transcribed genes (rDNA). Here we have analyzed roles two members xeroderma pigmentosum group C family proteins, Rad4p Rad34p, during inactive rDNA. We report essential for...
In Saccharomyces cerevisiae, the double-stranded-RNA-specific RNase III (Rnt1p) is required for processing of pre-rRNA and coprecipitates with transcriptionally active rRNA gene repeats. Here we show that Rnt1p physically interacts RNA polymerase I (RNAPI) its deletion decreases transcription increases number genes an open chromatin structure. contrast, depletion ribosomal proteins or factors impair RNAPI termination did not increase repeats, suggesting changes in ratio closed due to a...
Ultraviolet light (UV) causes DNA damage that is removed by nucleotide excision repair (NER). UV-induced lesions must be recognized and repaired in nucleosomal DNA, higher order structures of chromatin within different nuclear sub-compartments. Telomeric made short tandem repeats located at the ends chromosomes their maintenance critical to prevent genome instability. In Saccharomyces cerevisiae structure natural telomeres distinctive contingent telomeric sequences. Namely, nucleosomes Sir...
In this work we establish lower bounds on the size of Clifford circuits that measure a family commuting Pauli operators. Our depend interplay between pair graphs: Tanner graph set measured operators, and connectivity which represents qubit connections required to implement circuit. For local-expander quantum codes, are promising for low-overhead error correction, prove any syndrome extraction circuit implemented with local gates in 2D square patch $N$ qubits has depth at least...
We introduce a methodology for generating random multi-qubit stabilizer codes based on solving constraint satisfaction problem (CSP) bipartite graphs. This framework allows us to enforce commutation, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>X</mml:mi><mml:mrow class="MJX-TeXAtom-ORD"><mml:mo>/</mml:mo></mml:mrow><mml:mi>Z</mml:mi></mml:math> balancing, finite rate, sparsity, and maximum-degree constraints simultaneously in CSP that we can then solve numerically. Using...
Cet article se veut un survol des réseaux de tenseurs et s’adresse aux débutants en la matière. Nous y mettons l’accent sur les outils nécessaires à l’implémentation concrète d’algorithmes. Quatre opérations base (remodelage, permutation d’indices, contraction décomposition) qui sont couramment utilisées dans algorithmes décrites. Y seront aussi couverts notation diagrammatique, intrication, états produit matrices (MPS), opérateurs (MPO), état projeté paires intriquées (PEPS), l’approche par...
The Gottesman-Kitaev-Preskill (GKP) code encodes a logical qubit into bosonic system with resilience against single-photon loss, the predominant error in most systems. Here we present experimental results demonstrating quantum correction of GKP states based on reservoir engineering superconducting device. Error is made autonomous through an unconditional reset auxiliary transmon qubit. lifetime shown to be increased from correction, therefore reaching point at which more errors are corrected...
A promising route towards fault-tolerant quantum error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with qubit code. Development such concatenated codes requires simulation tools which realistically model noise, while being able to simulate dynamics many modes. However, so far, large-scale for GKP have been limited idealized noise models and implementations. Here, we introduce Bosonic Pauli+ (BP+), can be simulated efficiently large number modes, capturing rich...
A promising route towards fault-tolerant quantum error correction is the concatenation of a Gottesman-Kitaev-Preskill (GKP) code with qubit code. Development such concatenated codes requires simulation tools which realistically model noise, while being able to simulate dynamics many modes. However, so far, large-scale for GKP have been limited idealized noise models and implementations. Here, we introduce Bosonic Pauli+ (BP+), can be simulated efficiently large number modes, capturing rich...
Polar codes were introduced in 2009 by Arikan as the first efficient encoding and decoding scheme that is capacity achieving for symmetric binary-input memoryless channels. Recently, this code family was extended replacing block-structured polarization step of polar a convolutional structure. This article presents numerical exploration so-called to find generalizations codes, both terms speed error probability. The main conclusion drawn from our study increasing convolution depth more than...
We introduce a methodology for generating random multi-qubit stabilizer codes based on solving constraint satisfaction problem (CSP) bipartite graphs. This framework allows us to enforce commutation, $X/Z$ balancing, finite rate, sparsity, and maximum-degree constraints simultaneously in CSP that we can then solve numerically. Using state-of-the-art solver, obtain convincing evidence the existence of satisfiability threshold. Furthermore, extent satisfiable phase increases with number...