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  "slug": "css-codes-for-quantum-metrology-with-discrete-time-error-correction-a-reconciled",
  "title": "CSS Codes for Quantum Metrology with Discrete-Time Error Correction: A Reconciled Quantitative Analysis",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Quantum metrology promises estimation precision scaling as the Heisenberg limit Δω ∼ 1/(NT) rather than the standard quantum limit (SQL) Δω ∼ 1/√NT, but noise typically destroys this advantage. Recent work showed that when the noise is perpendicular to the sensing Hamiltonian — the regime permitted by the Hamiltonian-Not-in-Lindblad-Span (HNLS) condition — discrete-time quantum error correction with Calderbank-Shor-Shor (CSS) codes preserves Heisenberg-like temporal scaling over a finite interrogation window whose duration depends on the correction frequency, and that recovery applied only after sensing gives no advantage. This paper reconciles three independent quantitative treatments of that framework into a single arithmetic-transparent analysis. [...]",
  "abstract_markdown": "Quantum metrology promises estimation precision scaling as the Heisenberg limit $\\Delta\\omega \\sim 1/(NT)$ rather than the standard quantum limit (SQL) $\\Delta\\omega \\sim 1/\\sqrt{NT}$, but noise typically destroys this advantage. Recent work showed that when the noise is perpendicular to the sensing Hamiltonian — the regime permitted by the Hamiltonian-Not-in-Lindblad-Span (HNLS) condition — discrete-time quantum error correction with Calderbank-Shor-Shor (CSS) codes preserves Heisenberg-like temporal scaling over a finite interrogation window whose duration depends on the correction frequency, and that recovery applied only after sensing gives no advantage. This paper reconciles three independent quantitative treatments of that framework into a single arithmetic-transparent analysis. [...]",
  "date": "2026-10-09",
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    "titles": [
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        "title": "CSS Codes for Quantum Metrology with Discrete-Time Error Correction: A Reconciled Quantitative Analysis"
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        "description": "Quantum metrology promises estimation precision scaling as the Heisenberg limit Δω ∼ 1/(NT) rather than the standard quantum limit (SQL) Δω ∼ 1/√NT, but noise typically destroys this advantage. Recent work showed that when the noise is perpendicular to the sensing Hamiltonian — the regime permitted by the Hamiltonian-Not-in-Lindblad-Span (HNLS) condition — discrete-time quantum error correction with Calderbank-Shor-Shor (CSS) codes preserves Heisenberg-like temporal scaling over a finite interrogation window whose duration depends on the correction frequency, and that recovery applied only after sensing gives no advantage. This paper reconciles three independent quantitative treatments of that framework into a single arithmetic-transparent analysis. [...]",
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