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  "slug": "spectral-benchmarking-of-holographic-quantum-simulations",
  "title": "Spectral Benchmarking of Holographic Quantum Simulations",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
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  "abstract": "The simulation of quantum gravity on near-term quantum processors is hindered by a critical tension between hardware feasibility and physical fidelity, creating an “Artifact Zone” where simplified models produce misleading, non-physical results. This paper addresses this challenge by proposing a robust benchmarking framework to certify the structural integrity of holographic quantum simulations. We argue that dynamical metrics like Out-of-Time-Ordered Correlators (OTOCs) can be ambiguous in noisy systems, and advocate for the adoption of a structural metric based on Random Matrix Theory (RMT): the adjacent gap ratio, or r-statistic. Our methodology involves a computational experiment using synthetic Hamiltonians to model both integrable (artifact) and chaotic (holographic) systems. We calculate the r-statistic for these ensembles and analyze its reliability under conditions relevant to Noisy Intermediate-Scale Quantum (NISQ) hardware, including small system sizes and simulated noise. The results are decisive. [...]",
  "abstract_markdown": "The simulation of quantum gravity on near-term quantum processors is hindered by a critical tension between hardware feasibility and physical fidelity, creating an “Artifact Zone” where simplified models produce misleading, non-physical results. This paper addresses this challenge by proposing a robust benchmarking framework to certify the structural integrity of holographic quantum simulations. We argue that dynamical metrics like Out-of-Time-Ordered Correlators (OTOCs) can be ambiguous in noisy systems, and advocate for the adoption of a structural metric based on Random Matrix Theory (RMT): the adjacent gap ratio, or r-statistic. Our methodology involves a computational experiment using synthetic Hamiltonians to model both integrable (artifact) and chaotic (holographic) systems. We calculate the r-statistic for these ensembles and analyze its reliability under conditions relevant to Noisy Intermediate-Scale Quantum (NISQ) hardware, including small system sizes and simulated noise. The results are decisive. [...]",
  "date": "2026-01-01",
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        "description": "The simulation of quantum gravity on near-term quantum processors is hindered by a critical tension between hardware feasibility and physical fidelity, creating an “Artifact Zone” where simplified models produce misleading, non-physical results. This paper addresses this challenge by proposing a robust benchmarking framework to certify the structural integrity of holographic quantum simulations. We argue that dynamical metrics like Out-of-Time-Ordered Correlators (OTOCs) can be ambiguous in noisy systems, and advocate for the adoption of a structural metric based on Random Matrix Theory (RMT): the adjacent gap ratio, or r-statistic. Our methodology involves a computational experiment using synthetic Hamiltonians to model both integrable (artifact) and chaotic (holographic) systems. We calculate the r-statistic for these ensembles and analyze its reliability under conditions relevant to Noisy Intermediate-Scale Quantum (NISQ) hardware, including small system sizes and simulated noise. The results are decisive. [...]",
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