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Quantum variational learning for quantum error-correcting codes [PDF]
Quantum, 2022 Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao +4 more
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Nonadditive Quantum Error-Correcting Code [PDF]
Physical Review Letters, 2008 We report the first nonadditive quantum error-correcting code, namely, a $((9,12,3))$ code which is a 12-dimensional subspace within a 9-qubit Hilbert space, that outperforms the optimal stabilizer code of the same length by encoding more levels while correcting arbitrary single-qubit errors.
Qing Chen, Sixia Yu, C H Lai
exaly +4 more sources
A Remote Quantum Error-Correcting Code Preparation Protocol on Cluster States
Mathematics, 2023 The blind quantum computation (BQC) protocol allows for privacy-preserving remote quantum computations. In this paper, we introduce a remote quantum error correction code preparation protocol for BQC using a cluster state and analyze its blindness in the
Qiang Zhao +4 more
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Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits. [PDF]
Natl Sci Rev, 2022 Gong M +21 more
europepmc +2 more sources
Lattice Surgery for Dummies [PDF]
SensorsQuantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors ...
Avimita Chatterjee +2 more
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Dynamically Generated Logical Qubits [PDF]
Quantum, 2021 We present a quantum error correcting code with $\textit{dynamically generated logical qubits}$. When viewed as a subsystem code, the code has no logical qubits.
Matthew B. Hastings, Jeongwan Haah
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Kitaev's quantum double model as an error correcting code [PDF]
Quantum, 2020 Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code.
Shawn X. Cui +6 more
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A cellular automaton decoder for a noise-bias tailored color code [PDF]
Quantum, 2023 Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton decoder for a variation of the color code where the bases of the physical ...
Jonathan F. San Miguel +2 more
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Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
npj Quantum Information, 2023 One-way quantum repeaters where loss and operational errors are counteracted by quantum error-correcting codes can ensure fast and reliable qubit transmission in quantum networks.
Kah Jen Wo +8 more
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Analysis of a Quantum Error Correcting Code using Quantum Process Calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. The key idea is to define two systems, one modelling a protocol and
Timothy A. S. Davidson +3 more
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