{
  "id": "oai:papers.qnfo.org:ultrametric-p-adic-metrology",
  "slug": "ultrametric-p-adic-metrology",
  "title": "Passive Error Resilience Through Ultrametric Geometry: A Proposal for p-Adic Quantum Metrology",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Active quantum error correction is the dominant paradigm for achieving fault-tolerant quantum computation, but its thermodynamic cost at utility scale remains unaddressed. Each round of syndrome extraction, decoding, and feedback erases information — and under Landauer's principle, that erasure carries an irreducible energy cost that scales with system size. We explore an alternative: passive error resilience through ultrametric (p-adic) geometry, where noise self-organizes into hierarchical clusters that a single global measurement averages out automatically, without ancilla qubits, syndrome extraction, or feedback loops. Building on the Bruhat-Tits tree — the natural state space for the p-adic group SL(2, Q_p) — we propose a room-temperature photonic metrology architecture that exploits the hierarchical structure of noise as a computational resource rather than treating it as an enemy. We present the theoretical framework, a candidate experimental protocol, and a structured forecast assessing the probability of demonstrating standard-quantum-limit-beating precision within 24 months.",
  "abstract_markdown": "Active quantum error correction is the dominant paradigm for achieving fault-tolerant quantum computation, but its thermodynamic cost at utility scale remains unaddressed. Each round of syndrome extraction, decoding, and feedback erases information — and under Landauer's principle, that erasure carries an irreducible energy cost that scales with system size. We explore an alternative: passive error resilience through ultrametric (p-adic) geometry, where noise self-organizes into hierarchical clusters that a single global measurement averages out automatically, without ancilla qubits, syndrome extraction, or feedback loops. Building on the Bruhat-Tits tree — the natural state space for the p-adic group SL(2, Q_p) — we propose a room-temperature photonic metrology architecture that exploits the hierarchical structure of noise as a computational resource rather than treating it as an enemy. We present the theoretical framework, a candidate experimental protocol, and a structured forecast assessing the probability of demonstrating standard-quantum-limit-beating precision within 24 months.",
  "date": "2026-08-01",
  "first_published": "2026-08-01",
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
      {
        "title": "Passive Error Resilience Through Ultrametric Geometry: A Proposal for p-Adic Quantum Metrology"
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