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Paper 1
Ultra Low Overhead Syndrome Extraction for the Steane code
Boldizsár Poór, Benjamin Rodatz, Aleks Kissinger
- Year
- 2025
- Journal
- arXiv preprint
- DOI
- arXiv:2511.13700
- arXiv
- 2511.13700
We establish a new performance benchmark for the fault-tolerant syndrome extraction of [[7, 1, 3]] Steane code with a dynamic protocol. Our method is built on two highly optimized circuits derived using fault-equivalent ZX-rewrites: a primary fault-tolerant circuit with 14 CNOTs and an efficient non-fault-tolerant recovery circuit with 11 CNOTs. The protocol uses an adaptive response to internal faults, discarding flagged measurements and falling back to the recovery circuit to correct potentially detrimental errors. Monte Carlo simulations confirm the efficiency of our protocol, reducing the logical error rate per cycle by an average of ~14.3% relative to the optimized Steane method [arXiv:2506.17181] and ~17.7% compared to the Reichardt's three-qubit method [arXiv:1804.06995], the leading prior techniques.
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Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
A. González-Tudela, C. -L. Hung, D. E. Chang, J. I. Cirac, H. J. Kimble
- Year
- 2014
- Journal
- arXiv preprint
- DOI
- arXiv:1407.7336
- arXiv
- 1407.7336
We propose the use of photonic crystal structures to design subwavelength optical lattices in two dimensions for ultracold atoms by using both Guided Modes and Casimir-Polder forces. We further show how to use Guided Modes for photon-induced large and strongly long-range interactions between trapped atoms. Finally, we analyze the prospects of this scheme to implement spin models for quantum simulation
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