Thorium

Trading Qubits for Circuit Runs: Exact QUBO Splitting by Cutset Conditioning and Exact-Share Knapsack Blocks

Tuomas Hietanen · thorium@iki.fi · November 2026

Status: preprint, November 2026. Not peer reviewed. License: CC BY 4.0. This gist holds the full text, the Python reference implementation used for the experiments, and the raw results; the file list is at the end.

Cite as: T. Hietanen, Trading Qubits for Circuit Runs: Exact QUBO Splitting by Cutset Conditioning and Exact-Share Knapsack Blocks, preprint (GitHub gist), 2026.

Abstract

Thorium

/// The annoying Windows accessibility shortcuts ("Sticky keys"), switched off while the game has focus.
///
/// Usage: call `ShortcutKeys.sync ()` once per frame and
/// `ShortcutKeys.restore ()` when the game exits (in a `finally`).
module ShortcutKeys

open System
open System.Runtime.InteropServices

[<DllImport("user32.dll", EntryPoint = "SystemParametersInfoW")>]

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module Program

// ---------------------------------------------------------------------------
// Database setup (run once before building — SQLProvider reads this schema at
// COMPILE TIME). Run with psql, e.g.:
//   psql -h localhost -U postgres -d postgres -f setup.sql
//
//   CREATE TABLE IF NOT EXISTS demo_people (
//     id    SERIAL PRIMARY KEY,
//     name  TEXT NOT NULL,

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// ============================================================================
// LEGEND OF THE RED DRAGON - QuickServe Edition
// A faithful recreation for Zachtronics Last Call BBS
// ============================================================================
// How to install: Copy the raw file to your servers folder.

// --- CONSTANTS ---
var SCREEN_W = 56;
var SCREEN_H = 20;

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The Nature of "Now" (as Quantum Measurement)

There are structural parallels between quantum measurement and the experience of "now":

Property	Quantum measurement	The present moment
Selects one outcome from many	Yes	Yes
Irreversible	Yes (wavefunction collapse)	Yes (past becomes fixed)
Creates definite classical reality	Yes	Yes
The "before" is indeterminate	Superposition	Open future

Thorium

#!/usr/bin/env dotnet fsi
// =============================================================================
// reMarkable Cloud File Downloader and PDF to Markdown (pdf2md) - F# Script
// Based on the PHP ReMarkableAPI by splitbrain/remarkable-api
// This is to download reMarkable cloud files and convert them e.g. for agents to read.
// You'll need to add/use reMarkable device web-script (to get auth token).
// =============================================================================
//
// Usage:
//   dotnet fsi remarkable-download.fsx register <one-time-code>

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-- A few useful Microsoft SQL Server T-SQL function samples

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// Using local LLMs from F#

// Download and install Ollama: https://ollama.com/
// Ollama is a free common host for multiple different LLM-models
// like Google Gemma, OpenApi's GPT-OSS, Deepseek, etc.
#r "nuget:OllamaSharp"
open OllamaSharp
// For better Collections.Generic.IAsyncEnumerable<_> support for F#:
#r "nuget:FSharp.Control.TaskSeq" 
open FSharp.Control

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#r "nuget: ModelContextProtocol,0.4.0-preview.1"
open ModelContextProtocol.Client
open ModelContextProtocol.Protocol
open System
open System.Threading.Tasks

module McpClient = 
    let clientTransport = 
        StdioClientTransport(
            StdioClientTransportOptions(

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/// Takes a list of (quantity/amount and price/rate) as decimals, and gives a weighted average
let weightedAvg mylist =
    let weightedValue = mylist |> List.sumBy(fun (isum,irate) -> isum*irate)
    let weightedSum = mylist |> List.sumBy(fun (isum,irate) -> isum)
    match weightedSum with
    | 0m<GBP> -> 0m
    | x -> weightedValue / x