Unitary application of the quantum error correction codes
Xoaohua Wu, Bo You
TL;DR
This paper introduces a complete unitary transformation approach for quantum error correction, enabling encoding and error correction for any code satisfying quantum error correction conditions, using only unitary operations.
Contribution
The paper presents a novel unitary protocol that simplifies quantum error correction by using a complete unitary transformation applicable to all suitable codes.
Findings
The protocol can encode quantum information using a single unitary operation.
The inverse of the unitary transformation corrects errors without additional measurements.
Applicable to any quantum error correction code satisfying the necessary conditions.
Abstract
From the set of operators for errors and its correction code, we introduce the so-called complete unitary transformation. It can be used for encoding while the inverse of it can be applied for correcting the errors of the encoded qubit. We show that this unitary protocol can be applied for any code which satisfies the quantum error correction condition.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Distributed and Parallel Computing Systems · Cloud Computing and Resource Management