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Journal Article
Density Matrix Simulation of Quantum Error Correction Codes for Near-term Quantum Devices
- Authors
- Chungheon Baek, Tomohiro Otsuka, Seigo Tarucha, Byung-Soo Choi
- Issue Date
- 2020-01
- Citation
- Quantum Science and Technology, v.5, no.1, pp.1-11
- ISSN
- 2058-9565
- Publisher
- Institute of Physics (IOP)
- Language
- English
- Type
- Journal Article
- Abstract
- Fault-tolerant quantum computing requires many qubits with long lifetimes and accurate quantum gate operations. However, external noise limits the computing time and hampers accurate quantum gate operations. Quantum error correction (QEC) codes may extend such limits, but imperfect gate operations during QEC cause errors, which could cancel out QEC. We used density matrix simulations to examine the performance of QEC codes with five qubits. In current quantum devices, less than ten qubits are needed to conduct sufficient gate operations within their lifetime so that it is feasible to implement QEC codes. We analyzed the maximum tolerable error rate and error correction effect of individual QEC codes according to the qubit arrangement and gate accuracy. Assuming a 0.1% gate error probability, a logical |1> state encoded by a five-qubit QEC code is expected to have a 0.25 higher fidelity than its physical counterpart.
- KSP Keywords
- AND gate, Computing time, Error correction code, External noise, Fault-tolerant, Gate operation, Noise limits, Quantum Error Correction, Quantum computing, Quantum devices, Tolerable error
This work is distributed under the term of Creative Commons License (CCL)
(CC BY)
(CC BY)
