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This research establishes a discrete analogue of geometric quantization over finite fields, demonstrating how applying this method to classical error-correcting codes directly generates quantum error-correcting codes. The study offers a significant physical interpretation for existing quantum-classical correspondences within coding theory, bridging abstract mathematical structures with tangible quantum information protocols.
Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields
arXiv:2610.06607v1 Announce Type: new Abstract: We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes. This provides a physical interpretation for a previously known quantum-classical correspondence in coding theory.
Abstract:We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes. This provides a physical interpretation for a previously known quantum-classical correspondence in coding theory.
arXiv:2610.06607 [quant-ph]
(or arXiv:2610.06607v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.06607 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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