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Journal Article Multilayered logical qubits and synthesized quantum bits
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Authors
Ki-Sung Jin, Gyu-Il Cha
Issue Date
2023-07
Citation
QUANTUM SCIENCE AND TECHNOLOGY, v.8, no.3, pp.1-21
ISSN
2058-9565
Publisher
IOP PUBLISHING LTD
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1088/2058-9565/accec5
Abstract
Quantum error correction is likely to be key in obtaining near term quantum advantage. We propose a novel method for providing multiple logical qubits in the correction of quantum errors using classical computers. The core idea of our work is built upon two main pillars: dividing the Hilbert space into reduced Hilbert spaces with individual logical qubits and synthesizing the reduced Hilbert spaces through a mathematical collaborating between classical bits and logical quantum states. We demonstrate that our method supports at least 20 logical qubits in a surface code with a code distance of 3. Furthermore, we generate entangled states of multiple logical qubits from lattice surgery-based surface codes using only physical qubit operations. This approach enables classical computers to support a larger number of logical qubits using less memory and perform faster simulations.
KSP Keywords
Code distance, Entangled states, Hilbert spaces, Quantum Error Correction, Quantum bit, Quantum states, novel method
This work is distributed under the term of Creative Commons License (CCL)
(CC BY)
CC BY