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Journal Article Analysis of Physical Requirements for Simple Three-qubit and Nine-qubit Quantum Error Correction on Quantum-dot and Superconductor Qubits
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Authors
IlKwon Sohn, Seigo Tarucha, Byung-Soo Choi
Issue Date
2017-01
Citation
Physical Review A : Covering Atomic, Molecular, and Optical Physics and Quantum Information, v.95, no.1, pp.1-7
ISSN
2469-9926
Publisher
American Physical Society (APS)
Language
English
Type
Journal Article
DOI
https://dx.doi.org/10.1103/PhysRevA.95.012306
Abstract
The implementation of a scalable quantum computer requires quantum error correction (QEC). An important step toward this goal is to demonstrate the effectiveness of QEC where the fidelity of an encoded qubit is higher than that of the physical qubits. Therefore, it is important to know the conditions under which QEC code is effective. In this study, we analyze the simple three-qubit and nine-qubit QEC codes for quantum-dot and superconductor qubit implementations. First, we carefully analyze QEC codes and find the specific range of memory time to show the effectiveness of QEC and the best QEC cycle time. Second, we run a detailed error simulation of the chosen error-correction codes in the amplitude damping channel and confirm that the simulation data agreed well with the theoretically predicted accuracy and minimum QEC cycle time. We also realize that since the swap gate worked rapidly on the quantum-dot qubit, it did not affect the performance in terms of the spatial layout.
KSP Keywords
Error Correction Code(ECC), Error simulation, Quantum Error Correction, Quantum dot(Qdot), SWAP gate, Simulation data, amplitude damping channel, cycle time, quantum computer, spatial layout