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20212026
most citedThe XYZ hexagonal stabilizer code

21 citations · 49 across the 8 of their papers we have counts for

collaborators

8 papers

quant-ph2026

Duality constrains optimal thresholds in quantum error correction

Lucas H. English, Haoyuan Luo, Yangming Wang +3

Error correction thresholds are often treated as the primary figure of merit for comparing quantum error-correcting code families. We show that the optimal error correction thresho…

quant-ph2026

Computing with many encoded logical qubits beyond break-even

Shival Dasu, Matthew DeCross, Andrew Y. Guo +42

High-rate quantum error correcting (QEC) codes encode many logical qubits in a given number of physical qubits, making them promising candidates for quantum computation. Implementi…

quant-ph2025

Sequential decoding of the XYZ hexagonal stabilizer code

Basudha Srivastava, Yinzi Xiao, Anton Frisk Kockum +2

Quantum error correction requires accurate and efficient decoding to optimally suppress errors in the encoded information. For concatenated codes, where one code is embedded within…

quant-ph2024★ 4 cited

Exact results on finite size corrections for surface codes tailored to biased noise

Yinzi Xiao, Basudha Srivastava, Mats Granath

The code-capacity threshold of a scalable quantum error correcting stabilizer code can be expressed as a thermodynamic phase transition of a corresponding random-bond Ising model.…

quant-ph2023★ 15 cited

Data-driven decoding of quantum error correcting codes using graph neural networks

Moritz Lange, Pontus Havström, Basudha Srivastava +6

To leverage the full potential of quantum error-correcting stabilizer codes it is crucial to have an efficient and accurate decoder. Accurate, maximum likelihood, decoders are comp…

quant-ph2022

Dimension towers of SICs. II. Some constructions

Ingemar Bengtsson, Basudha Srivastava

A SIC is a maximal equiangular tight frame in a finite dimensional Hilbert space. Given a SIC in dimension , there is good evidence that there always exists an aligned SIC in di…

quant-ph2021★ 21 cited

The XYZ hexagonal stabilizer code

Basudha Srivastava, Anton Frisk Kockum, Mats Granath

We consider a topological stabilizer code on a honeycomb grid, the "XYZ" code. The code is inspired by the Kitaev honeycomb model and is a simple realization of a "matching cod…

quant-ph2021★ 9 cited

Error-rate-agnostic decoding of topological stabilizer codes

Karl Hammar, Alexei Orekhov, Patrik Wallin Hybelius +4

Efficient high-performance decoding of topological stabilizer codes has the potential to crucially improve the balance between logical failure rates and the number and individual e…