AI-powered quantum circuit design, wavefunction simulation, and quantum algorithm development for physicists and researchers
The Quantum Physics Simulation Engine encodes the mathematical intuition of quantum physicists and quantum computing researchers into a structured AI prompt architecture. It bridges the gap between theoretical quantum mechanics and practical quantum software development. The framework covers the full quantum research pipeline: from formulating a quantum problem in Dirac notation through circuit design, simulation, algorithm optimization, error correction, and hardware-aware compilation. Every prompt is grounded in the mathematical formalism of quantum mechanics — Hilbert spaces, tensor products, unitary operators, and density matrices — while producing executable code in Qiskit, Cirq, or PennyLane. The system is designed for three audiences: theoretical physicists exploring quantum phenomena, quantum algorithm researchers developing NISQ-era applications, and quantum software engineers building production quantum programs.
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All 62 prompts · All 7 modules
"The VQE ansatz design prompts understand the barren plateau problem in a way that most quantum ML pa..."
Dr. Yuki N. · Quantum Algorithm Researcher, MIT
Need expert implementation?
Hire an OrchestratorConnect with a certified Prompt.Doctor Orchestrator to deploy this framework for you.
No coding required. You will use ChatGPT or Claude as your AI tool. Follow these steps in order — do not skip ahead.
Purchase & download the framework
Click the buy button on this page. After checkout, go to the and hit Download .zip. Unzip it — you'll get a .md file (the full framework) and a .pdf (easy to read reference). Keep both open.
Open your project — new or existing
This dashboard is designed to integrate into any existing project or be built as a standalone app. If you already have a site in Airo (or Cursor, Bolt, etc.), open that project. If you're starting fresh, create a new project. The Orchestrator Prompt handles both cases — it scans what's already there and adds only what's missing.
Paste the Orchestrator Prompt into your builder's chat
Open the on this page. Copy the Orchestrator Prompt and paste it into your AI builder's chat. It will scaffold the full admin system — secure login, email marketing module, booking engine, and CMS — on top of your existing codebase. This takes 2–5 minutes.
Add your API keys as secrets
Critical — Novice UsersIn your builder, go to Settings → Secrets and add the keys your app needs. For this framework: STRIPE_SECRET_KEY (for booking payments — get it from your Stripe dashboard), ANTHROPIC_API_KEY (for AI-assisted content — get it from console.anthropic.com), and DATABASE_URL (your MySQL connection string). No key is needed for the admin login, CMS, or email modules — those run on your existing infrastructure.
Don't have a MySQL server?
You can purchase a shared hosting plan with cPanel and MySQL at host.esgwon.dev. Once your account is set up, follow the step-by-step guide to create your database and connect it to your AI website builder.
How to set up cPanel MySQL & connect to your AI website →Need help with Stripe?
Get your STRIPE_SECRET_KEY and STRIPE_PUBLISHABLE_KEY from your Stripe dashboard. The guide covers test keys, webhook setup, and going live.
Need help with Anthropic?
Get your ANTHROPIC_API_KEY from console.anthropic.com. The guide covers model selection, cost management, and troubleshooting.
Prompting Airo after setup — always name the file
When asking Airo to add tables, columns, or features to the admin dashboard, always include src/server/lib/admin-db.ts in your prompt. Without it, Airo may target the wrong database. Example: "Add a bookings table in the admin database (src/server/lib/admin-db.ts) — do not touch any other database connection in this project."
Run the framework prompts inside your live app
Your app is now running in the builder's preview panel. Open the on this page, copy each prompt one at a time, and paste it into your builder's chat. Replace every [BRACKET] with your real data before sending. Work through the stages in order — each stage output feeds the next.
Test end-to-end, then publish or hand off to your client
Walk through the admin as a real user: log in, create a booking, send a test email campaign, update a CMS image, and run the Safe-to-Publish gate. Once everything passes, click Publish in your builder. Because this is a white-label dashboard, your client accesses it at /admin on their own domain — no Prompt.Doctor branding, no third-party login required.
7 modules · 62 prompts · 8 workflow stages
Quantum State & Circuit Foundation
Qubit state representation in Dirac notation, quantum gate library (single-qubit and multi-qubit), circuit diagram generation, and state vector visualization. Covers Bloch sphere representation and quantum measurement postulates.
9 promptsWavefunction Simulation Engine
Time-dependent Schrödinger equation solvers, state vector evolution under unitary operators, density matrix formalism for mixed states, and entanglement entropy calculation. Generates NumPy/SciPy simulation code.
10 promptsQuantum Algorithm Development
Grover search algorithm design, Shor factoring circuit construction, quantum Fourier transform implementation, phase estimation, and amplitude amplification. Includes NISQ-era variational algorithms (VQE, QAOA).
12 promptsHamiltonian Engineering & VQE
Molecular Hamiltonian construction (Jordan-Wigner, Bravyi-Kitaev mappings), ansatz design for VQE, parameter optimization landscapes, and energy convergence analysis. Targets quantum chemistry applications.
8 promptsQuantum Error Correction
Stabilizer code design, surface code architecture, logical qubit encoding, syndrome measurement circuits, and fault-tolerant gate set construction. Includes threshold theorem analysis prompts.
9 promptsNoise Modeling & Decoherence
Lindblad master equation simulation, T1/T2 decoherence modeling, gate error characterization, randomized benchmarking protocol design, and noise-aware circuit optimization.
8 promptsHardware Compilation & Optimization
Transpilation to native gate sets (IBM, Google, IonQ, Rigetti), qubit routing and SWAP insertion, circuit depth optimization, and backend-specific noise mitigation strategies.
6 promptsYou are a quantum computing expert with deep knowledge of quantum circuit theory and quantum information science. Design a quantum circuit for the following problem: Problem: [QUANTUM PROBLEM DESCRIPTION] Target Algorithm: [ALGORITHM TYPE: Grover/Shor/VQE/QAOA/Custom] Number of Qubits: [N] Target Backend: [IBM/Google/IonQ/Simulator] Depth Constraint: [MAX CIRCUIT DEPTH] Provide: 1. Circuit description in Dirac notation (state evolution at each stage) 2. Gate sequence with justification for each gate choice 3. Circuit diagram (ASCII or description) 4. Qiskit implementation code 5. Expected measurement statistics and success probability 6. Circuit depth and gate count analysis 7. Optimization suggestions to reduce depth Include mathematical derivation of why this circuit solves the problem.
You are a quantum chemistry and variational quantum eigensolver expert. Design a VQE ansatz for the following molecular system: Molecule: [MOLECULE: H2/LiH/BeH2/Custom] Basis Set: [STO-3G/6-31G/cc-pVDZ] Active Space: [N electrons in M orbitals] Fermion-to-Qubit Mapping: [Jordan-Wigner/Bravyi-Kitaev/Parity] Ansatz Type: [UCCSD/Hardware-Efficient/ADAPT-VQE] Provide: 1. Molecular Hamiltonian in Pauli operator form (first 5 terms) 2. Ansatz circuit design with parameter count 3. PennyLane implementation code 4. Classical optimizer recommendation (COBYLA/SPSA/Adam) with hyperparameters 5. Expected energy convergence behavior 6. Barren plateau risk assessment for this ansatz 7. Hardware noise impact analysis
You are a quantum error correction theorist specializing in topological codes. Design a surface code implementation for the following parameters: Code Distance: d = [DISTANCE] Logical Qubit Count: [N_L] Target Error Rate: p < [THRESHOLD] Physical Error Model: [DEPOLARIZING/BIASED/CIRCUIT-LEVEL] Decoder: [MINIMUM WEIGHT PERFECT MATCHING/UNION FIND/ML DECODER] Provide: 1. Surface code lattice layout (data and ancilla qubit positions) 2. Stabilizer generator set (X-type and Z-type) 3. Syndrome measurement circuit 4. Logical operator definitions (X_L and Z_L) 5. Threshold analysis: at what physical error rate does this code fail? 6. Resource overhead: physical qubits per logical qubit 7. Qiskit implementation of one syndrome measurement round
system
9 prompts
architecture
19 prompts
prompts
18 prompts
workflow
16 prompts
"The VQE ansatz design prompts understand the barren plateau problem in a way that most quantum ML papers do not. The Hamiltonian engineering module saved me two weeks of derivation work."
Dr. Yuki N.
Quantum Algorithm Researcher, MIT
"The surface code prompts generate correct stabilizer generators on the first try. For a field where a single sign error invalidates the entire construction, that accuracy is remarkable."
Dr. Aleksei V.
Quantum Error Correction Theorist
All 62 prompts across 7 modules are unlocked for your account.
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