Oliver Tuma

Operational Provenance Deficiency in Black\-Hole Reconstruction: Present\-Capability Geometry, Distinguishability Certificates, and Exact Holographic\-QEC Calibrations

We formulate a contract-relative operational test for whether future-predictive quantum information lies in the post-processing capability of any admissible present description. For a declared present-access family and typed recovery policy, the present-completion deficiency is t...

ReArt: Relational Generation under Transformable Articulation

We study reconstruction when a relation law, the represented subspace, and the observation context may all change. ReArt treats finite carriers as local articulations rather than terminal structures and separates endogenous relation generation, rearticulation, access/domain chang...

ReArt: Relational Generation under Transformable Articulation

We study reconstruction when a relation law, the represented subspace, and the observation context may all change. ReArt treats finite carriers as local articulations rather than terminal structures and separates endogenous relation generation, rearticulation, access/domain chang...

Finite-pulse reconstruction of relative quantum contexts: Calibrated inversion and fit-free composition tests

Two labelled rank-one quantum measurement contexts can have identical static transition probabilities while differing in their relative complex realization. This preprint studies reconstruction in a specified one-system access model with state preparation, context readout, and in...

Relational Anchors for Quantum Subsystem Identification: Quadratic Obstructions, Cubic Gauge Collapse, and Robust Rigidity

This preprint develops a finite-dimensional, proof-audited route from noisy relational localization certificates to exact tensor-product-structure (TPS) envelopes and robust subsystem identification. It separates the pre-Jordan gauge-calibration problem from the post-calibration...

Finite-Shot Certification of Hidden Quantum Factor Structure from Calibration-Free Sequence Statistics

This preprint studies finite-shot reconstruction of hidden quantum factor structure from global calibration-free sequence statistics without assuming an internal tensor-product cut in advance. A probability-only complex-projective 3-design self-test is used as an imported anchor...

Relational Anchors for Quantum Subsystem Identification: Minimal Separation and Robust Rigidity Subtitle: Algebra rounding, synchronized separation, and finite-shot two-qubit certification

We develop a finite-dimensional reconstruction framework for identifying tensor-product structure (TPS) from noisy relational localization data without assuming exact local algebras. A unital completely positive localizer is rounded to a nearby exact algebra using explicit idempo...

Spectral Relational Anchors for Quantum Subsystem Identification: A\-posteriori Factor Certificates, Recover\-Abstain\-Reject Logic, and Dimension\-Stable Expander Designs

Version 1.1 of a finite-dimensional mathematical preprint on robust quantum subsystem identification from relational operator estimates in a common physical matrix-algebra gauge. The paper gives spectral obstruction and localization certificates from a normalized commutator Lapla...

Multiscale Anti-Localization of GOE Spectra by Low-Complexity Hamiltonian Families

Let Lambda_D be the ordered spectrum of a D x D Gaussian orthogonal ensemble matrix, scaled so that its equilibrium measure is the semicircle law on [-1,1]. We prove that every deterministic real linear subspace V_D of Herm(D) with subpolynomial dimension p_D = D^{o(1)} has a uni...

Operational Subsystem Identification from Global Quantum Processes: Similarity Obstructions, Two-Loop Rigidity, and Finite-Data Guarantees

This preprint develops an operational identifiability theory for bipartite quantum subsystem structure without presupposing an embedded tensor-product structure. It first proves a strict boundary between simultaneous-similarity information obtainable from self-consistent global p...