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  "slug": "what-must-a-quantum-memory-decoder-know-about-temporally-correlated-noise-a-reco",
  "title": "What Must a Quantum-Memory Decoder Know About Temporally Correlated Noise? A Reconciled Exposition and Cost Accounting",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Temporal correlations in quantum-memory noise create a calibration problem that is invisible to syndrome statistics alone. We reconstruct, in expository form, the central results of a study of fixed stabilizer memory experiments with known system-environment interactions [1],[2]. The study's main example uses weak coherent X rotations in a class of CSS codes including Shor, Steane, and odd-distance rotated surface codes, in which all physical qubits share a sign that is either fixed throughout a run or independently redrawn each interval. The two noise models have identical syndrome statistics and the same spatiotemporal Pauli process (SPP), obtained by Pauli-twirling every noise interval, yet require different logical corrections at suitable storage times. [...]",
  "abstract_markdown": "Temporal correlations in quantum-memory noise create a calibration problem that is invisible to syndrome statistics alone. We reconstruct, in expository form, the central results of a study of fixed stabilizer memory experiments with known system-environment interactions [1],[2]. The study's main example uses weak coherent $X$ rotations in a class of CSS codes including Shor, Steane, and odd-distance rotated surface codes, in which all physical qubits share a sign that is either fixed throughout a run or independently redrawn each interval. The two noise models have identical syndrome statistics and the same spatiotemporal Pauli process (SPP), obtained by Pauli-twirling every noise interval, yet require different logical corrections at suitable storage times. [...]",
  "date": "2026-10-12",
  "first_published": "2026-10-12",
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  "url": "https://papers.qnfo.org/papers/what-must-a-quantum-memory-decoder-know-about-temporally-correlated-noise-a-reco",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "What Must a Quantum-Memory Decoder Know About Temporally Correlated Noise? A Reconciled Exposition and Cost Accounting"
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        "description": "Temporal correlations in quantum-memory noise create a calibration problem that is invisible to syndrome statistics alone. We reconstruct, in expository form, the central results of a study of fixed stabilizer memory experiments with known system-environment interactions [1],[2]. The study's main example uses weak coherent X rotations in a class of CSS codes including Shor, Steane, and odd-distance rotated surface codes, in which all physical qubits share a sign that is either fixed throughout a run or independently redrawn each interval. The two noise models have identical syndrome statistics and the same spatiotemporal Pauli process (SPP), obtained by Pauli-twirling every noise interval, yet require different logical corrections at suitable storage times. [...]",
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