Independent Researcher

Network Science
Complex Systems
Distributional Reconfiguration

I study how distributional structures can be reconfigured through zero-operation-like transformations, reachable candidate spaces, and selection function dynamics.

Image credit: NASA

Research Overview

Exploring candidate generation, selection dynamics, and structure formation in probability spaces.

My current research develops minimal mathematical and numerical models for understanding how probability distributions can be transformed, selected, stabilized, or frozen under different operation bases and evaluation functions.

The work is exploratory and currently focuses on four-state probability distributions, quantum correlation distributions, reachable geometry, selection-induced attractors, and cost-induced freezing.

Research Focus

Core Themes

01

Zero-Operation Dynamics

Treating zero-like operations not merely as null values, but as structural operations that generate candidate reconfigurations in probability distributions.

02

Reachable Probability Geometry

Studying how operation bases span reachable regions, including convex-like candidate spaces and symmetry-constrained reachability.

03

Selection Function Dynamics

Investigating how selection functions induce attractor-like dynamics, basin structures, policy paths, and cost-induced freezing regimes.

Research Outputs

Publications & Preprints

Preprint Series / Zenodo

Zero-Operation Quantum Computer Theory

A series of exploratory preprints on distributional reconfiguration, zero-operations, target-based control, and reachable-set geometry in quantum correlation models.

Paper 1

Noise-Induced Structural Reconfiguration in Quantum Correlation Distributions

Classifies quantum noise as distributional reconfiguration modes across depolarizing, phase damping, and amplitude damping noise.

DOI / Zenodo

Paper 2

Mathematical Zero-Operations as Distributional Reconfiguration Operators

Defines zero not only as a value, but as an operation acting on distributional structure.

DOI / Zenodo

Paper 3

Structural Inversion from Bell-Type to Anti-Type Correlations via a Uniform Neutral Point

Models the Bell → Uniform → Anti pathway and treats uniformity as a neutral transition point.

DOI / Zenodo

Paper 4

Target-Based Reconfiguration Control by Zero-Operations

Frames zero-operation selection as a control problem for approaching target distributions.

DOI / Zenodo

Paper 5

Expansion of Reachable Sets by Zero-Operation Bases

Studies reachable-set expansion through operation bases, symmetry, and convex-geometric structure.

DOI / Zenodo

Ongoing Research

Selection Function Dynamics

Ongoing work on candidate generation, selection-induced attractors, basin structures, action thresholds, and cost-induced freezing.

In progress

Current Projects

Research Roadmap

Phase A — Mathematical Models

Zero-operation dynamics, reachable sets, selection functions, attractors, and cost-induced freezing.

Phase B — Control Formulation

Target-reaching control, cost-aware policies, and action-threshold-aware control.

Phase C — Quantum Simulation

Mapping mathematical operations back to Qiskit noise models, backend-derived noise, and minimal hardware experiments.

Research Status

This research is exploratory and currently based on minimal mathematical models and numerical experiments. It does not yet claim physical implementation on quantum hardware, nor does it claim that noise is a computational resource.

Contact

Get in touch

For research discussion, collaboration, or inquiries, please contact me by email.

tatsuki@hirose-lab.org