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Published on: May 30, 2014
Information-Theoretic Framework for Quantum State Purification and Error Correction via Symmetric Subspace Projection
Jiaqi Tang1, Mu-Jiang-Shan Wang2
1School of Computer Science and Technology, Guangdong University of Technology, Guangzhou 510006, China.
Abstract:
The severe susceptibility of qubits to environmental noise remains the primary obstacle to practical quantum computing. To overcome this, we introduce a purification-assisted quantum error-correction (QEC) framework that embeds a symmetric subspace projection module between the encoding and physical layers. Acting as an information-theoretic noise-entropy filter, it compresses von Neumann entropy before encoding. Under depolarizing noise, a three-copy scheme elevates the surface-code threshold from 1.1% to a 2.0% noiseless bound (~1.6% at circuit level). Our iterative purification-assisted error-correction (IPEC) algorithm dynamically modulates purification depth via syndrome feedback, delivering a 46-fold logical error reduction for surface codes (d = 7) at a 1.0% physical error rate.
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