1999Physical Review ARequires access

Quantum error correction with spatially correlated decoherence

L.-M. Duan, Guang‐Can Guo

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Abstract

The master equation is derived for describing spatially correlated decoherence, which includes independent decoherence and collective decoherence as its special cases. Spatial correlation in the decoherence is measured by the correlation matrix or by the independence entropy. By applying the conventional quantum error correction schemes correcting for single-qubit errors, we calculate the state fidelity and demonstrate that these schemes are valid for reducing spatially correlated decoherence.

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What this paper is about

The master equation is derived for describing spatially correlated decoherence, which includes independent decoherence and collective decoherence as its special cases. Spatial correlation in the decoherence is measured by the correlation matrix or by the independence entropy. By applying the conventional quantum error correction schemes correcting for single-qubit errors, we calculate the state fidelity and demonstrate that these schemes are valid for reducing spatially correlated decoherence.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The master equation is derived for describing spatially correlated decoherence, which includes independent decoherence and collective decoherence as its special cases. Spatial correlation in the decoherence is measured by the correlation matrix or by the independence entropy. By applying the conventional quantum error correction schemes correcting for single-qubit errors, we calculate the state fidelity and demonstrate that these schemes are valid for reducing spatially correlated decoherence.

Key concepts: Quantum decoherence, Physics, Quantum error correction, Quantum dissipation, Quantum mechanics, Statistical physics, Quantum Zeno effect, Fidelity

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