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Heisenberg limited metrology using Quantum Error-Correction Codes
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Methods borrowed from the world of quantum information processing have lately been used to enhance the signal-to-noise ratio of quantum detectors. Here we analyze the use of stabilizer quantum error-correction codes for the purpose of signal detection. We show that using quantum error-correction codes a small signal can be measured with Heisenberg limited uncertainty even in the presence of noise. We analyze the limitations to the measurement of signals of interest and discuss two simple examples. The possibility of long coherence times, combined with their Heisenberg limited sensitivity to certain signals, pose quantum error-correction codes as a promising detection scheme.
Forward citations
Cited by 4 Pith papers
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Quantum metrology via partial quantum error correction
Partial QEC on superpositions of code states suppresses local noise in quantum metrology with fewer checks than full QEC, achieving p to the power floor((l+1)/2) suppression for weight-l noise.
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Quantum metrology via partial quantum error correction
Partial QEC on superpositions of code states suppresses parallel weight-l noise by p^floor((l+1)/2) while preserving super-SQL metrology performance using local operators and an adaptive imprinter strategy.
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Subsystem Quantum Error Correction for Noisy Quantum Metrology
Subsystem stabilizer codes enable Heisenberg-limited metrology via syndrome-free protocols with at most one ancilla for broad noise classes, including dynamical protection with Floquet codes.
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$100\pm\Delta t$ Years of Quantum Uncertainty: From Origins to Modern Insights
A historical and conceptual review of uncertainty relations, their mathematical forms, interconnections, and applications in quantum metrology, dedicated to the principle's centenary.
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