Non-Pauli Observables for CWS Codes
Douglas F. G. Santiago, Renato Portugal, Nolmar Melo
TL;DR
This paper investigates non-Pauli operators as decoding observables for CWS quantum codes, providing theoretical results and a procedure to identify such operators, enhancing error correction capabilities beyond stabilizer codes.
Contribution
It establishes criteria for non-Pauli observables in CWS codes and introduces a method to find these operators, advancing nonadditive quantum error correction techniques.
Findings
Identifies conditions for non-Pauli observables in CWS codes
Provides a procedure to construct non-Pauli decoding observables
Enhances understanding of error correction in nonadditive quantum codes
Abstract
It is known that nonadditive quantum codes are more optimal for error correction when compared to stabilizer codes. The class of codeword stabilized codes (CWS) provides tools to obtain new nonadditive quantum codes by reducing the problem to finding nonlinear classical codes. In this work, we establish some results on the kind of non-Pauli operators that can be used as decoding observables for CWS codes and describe a procedure to obtain these observables.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications