{
  "id": "oai:papers.qnfo.org:passive-error-rejection-via-cryo-fluidic-topological-phases-a-feasibility-analys",
  "slug": "passive-error-rejection-via-cryo-fluidic-topological-phases-a-feasibility-analys",
  "title": "Passive Error Rejection via Cryo-Fluidic Topological Phases: A Feasibility Analysis of the Topological Matter Engine",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "Active quantum error correction imposes a large and growing overhead of physical qubits, control electronics, and entropy-exporting measurement cycles on every scalable quantum processor. This paper examines a proposed alternative: a \"Topological Matter Engine\" in which errors are rejected passively, at the hardware level, by engineering a topological phase in a cryogenic fluidic/solid-state stack (diamond, SiN, thin-film lithium niobate, InGaAs) driven by a 3.5 THz intracavity difference-frequency-generation (DFG) field that acts as a synthetic fourth dimension. The specific gap addressed is that no published analysis derives the effective 4D Hamiltonian of such a device, identifies its topological invariant, or quantifies the passive error rejection it would deliver under realistic thermal noise. We derive a 4D two-band lattice Hamiltonian from the DFG drive, show that its gap closings occur at synthetic-dimension masses m₀ ∈ \\0,± 2,± 4\\J, and infer a second Chern number C₂ = 1 on the principal phase. With the gap fixed by the drive, Δ = 14.48 meV, we compute thermal excitation probabilities of 5.8× 10^-19 at 4 K and ≈ 4× 10^-730 at 100 mK, and we derive a maximum operating temperature of 36.5 K for thermally quiet operation (defined as excitation probability below 1%). The principal result is a quantitative condition sheet: passive rejection is thermodynamically robust once the gap is open, but the open question shifts entirely to whether DFG-derived synthetic-dimension couplings of order $J/h = 1.75$ THz can be realized and kept coherent in the proposed material stack. This converts an architectural claim into a bounded, testable engineering target.",
  "abstract_markdown": "Active quantum error correction imposes a large and growing overhead of physical qubits, control electronics, and entropy-exporting measurement cycles on every scalable quantum processor. This paper examines a proposed alternative: a \"Topological Matter Engine\" in which errors are rejected passively, at the hardware level, by engineering a topological phase in a cryogenic fluidic/solid-state stack (diamond, SiN, thin-film lithium niobate, InGaAs) driven by a 3.5 THz intracavity difference-frequency-generation (DFG) field that acts as a synthetic fourth dimension. The specific gap addressed is that no published analysis derives the effective 4D Hamiltonian of such a device, identifies its topological invariant, or quantifies the passive error rejection it would deliver under realistic thermal noise. We derive a 4D two-band lattice Hamiltonian from the DFG drive, show that its gap closings occur at synthetic-dimension masses $m_0 \\in \\{0,\\pm 2,\\pm 4\\}J$, and infer a second Chern number $C_2 = 1$ on the principal phase. With the gap fixed by the drive, $\\Delta = 14.48$ meV, we compute thermal excitation probabilities of $5.8\\times 10^{-19}$ at 4 K and $\\approx 4\\times 10^{-730}$ at 100 mK, and we derive a maximum operating temperature of 36.5 K for thermally quiet operation (defined as excitation probability below 1%). The principal result is a quantitative condition sheet: passive rejection is thermodynamically robust once the gap is open, but the open question shifts entirely to whether DFG-derived synthetic-dimension couplings of order $J/h = 1.75$ THz can be realized and kept coherent in the proposed material stack. This converts an architectural claim into a bounded, testable engineering target.",
  "date": "2026-10-15",
  "first_published": "2026-10-15",
  "last_revised": "2026-10-15T00:00:00Z",
  "modified": "2026-10-15T00:00:00Z",
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  "url": "https://papers.qnfo.org/papers/passive-error-rejection-via-cryo-fluidic-topological-phases-a-feasibility-analys",
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  "version_url": "https://papers.qnfo.org/papers/passive-error-rejection-via-cryo-fluidic-topological-phases-a-feasibility-analys/v/1.0.0",
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    "creators": [
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        "name": "Rowan Brad Quni-Gudzinas",
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    "titles": [
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        "title": "Passive Error Rejection via Cryo-Fluidic Topological Phases: A Feasibility Analysis of the Topological Matter Engine"
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        "description": "Active quantum error correction imposes a large and growing overhead of physical qubits, control electronics, and entropy-exporting measurement cycles on every scalable quantum processor. This paper examines a proposed alternative: a \"Topological Matter Engine\" in which errors are rejected passively, at the hardware level, by engineering a topological phase in a cryogenic fluidic/solid-state stack (diamond, SiN, thin-film lithium niobate, InGaAs) driven by a 3.5 THz intracavity difference-frequency-generation (DFG) field that acts as a synthetic fourth dimension. The specific gap addressed is that no published analysis derives the effective 4D Hamiltonian of such a device, identifies its topological invariant, or quantifies the passive error rejection it would deliver under realistic thermal noise. We derive a 4D two-band lattice Hamiltonian from the DFG drive, show that its gap closings occur at synthetic-dimension masses m₀ ∈ \\0,± 2,± 4\\J, and infer a second Chern number C₂ = 1 on the principal phase. With the gap fixed by the drive, Δ = 14.48 meV, we compute thermal excitation probabilities of 5.8× 10^-19 at 4 K and ≈ 4× 10^-730 at 100 mK, and we derive a maximum operating temperature of 36.5 K for thermally quiet operation (defined as excitation probability below 1%). The principal result is a quantitative condition sheet: passive rejection is thermodynamically robust once the gap is open, but the open question shifts entirely to whether DFG-derived synthetic-dimension couplings of order $J/h = 1.75$ THz can be realized and kept coherent in the proposed material stack. This converts an architectural claim into a bounded, testable engineering target.",
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