Minimal functions to reproduce the DXHOG/XEB scoring used in the paper's task:
2^n * |⟨z|U|ψ⟩|^2 - 1 with Haar-random states and random Clifford measurements.
dxhog_trial(n, rng): "quantum" trial (ideal simulation)dxhog_uniform_baseline(n, rng): no-info classical baseline (≈0 XEB)dxhog_noisy_trial(n, eps, rng): mixture model → expected XEB ≈ epsPaper this mirrors: Demonstrating an unconditional separation between quantum and classical information resources.
| # Check for Administrator Privileges | |
| if (-NOT ([Security.Principal.WindowsPrincipal][Security.Principal.WindowsIdentity]::GetCurrent()).IsInRole([Security.Principal.WindowsBuiltInRole]::Administrator)) { | |
| Write-Host "This script requires Administrator privileges. Please run it as an Administrator." | |
| Exit | |
| } | |
| # Run as Administrator | |
| Set-ExecutionPolicy Bypass -Scope Process -Force -Confirm:$false | |
| # Install Chocolatey |
| first_key_down | next_key_down | freq | mean | std | |
|---|---|---|---|---|---|
| A | A | 75865 | 415.7420473683694 | 211.15077174990657 | |
| A | B | 1004970 | 165.28457375000784 | 85.53598674842621 | |
| A | C | 2195967 | 167.4397778601112 | 61.035602729802285 | |
| A | D | 1441567 | 162.8665241188316 | 31.321963905203503 | |
| A | E | 3605848 | 405.72196709898844 | 208.6443786776474 | |
| A | F | 651427 | 402.95098691571224 | 203.15117061387028 | |
| A | G | 638791 | 395.8929611390238 | 198.9873950522662 | |
| A | H | 5849734 | 197.66910352690073 | 90.16204233255728 | |
| A | I | 601633 | 249.09574362732477 | 202.01115726544845 |
| # Start with a base Ubuntu 22.04 image | |
| # --platform=linux/amd64 | |
| FROM ubuntu:22.04 | |
| # Set environment variables | |
| ENV DEBIAN_FRONTEND=noninteractive \ | |
| LLVM_VERSION=c0b45fef155fbe3f17f9a6f99074682c69545488 \ | |
| LLVM_INSTALL_PATH=/opt/llvm \ | |
| CUDAQ_INSTALL_PATH=$HOME/.cudaq |