Lee Weight for Nonbinary Quantum Error Correction
Ryutaroh Matsumoto
TL;DR
This paper introduces the quantum Lee weight as a new way to measure quantum errors, establishes bounds similar to Gilbert-Varshamov, and constructs codes based on this weight for nonbinary quantum error correction.
Contribution
It presents the quantum Lee weight, a novel error measure, along with theoretical bounds and code constructions for nonbinary quantum error correction.
Findings
Established Gilbert-Varshamov type bound for quantum Lee weight
Proposed code construction based on the quantum Lee weight
Enhanced understanding of nonbinary quantum error correction
Abstract
We propose the quantum Lee weight for quantum errors, provide a Gilbert-Varshamov type bound, and a code construction for the proposed weight.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata