Quantum-Secret-Sharing-Simulator

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Quantum-Secret-Sharing-Simulator

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Interactive simulation of the Quantum Secret Sharing (QSS) protocol using GHZ state, built with Streamlit, QuTiP, Qiskit, and Plotly. Deployed live.

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# 🔐 Quantum Secret Sharing Simulator

[![License: MIT](https://img.shields.io/badge/License-MIT-blue.svg)](https://raw.githubusercontent.com/Sumitchongder/Quantum-Secret-Sharing-Simulator/main/LICENSE)
[![Python 3.10+](https://img.shields.io/badge/python-3.10%2B-blue.svg)](https://www.python.org/)
[![Streamlit App](https://static.streamlit.io/badges/streamlit_badge_black_white.svg)](https://quantum-sharing-simulator.streamlit.app)

> **Interactive simulation of the Quantum Secret Sharing (QSS) protocol using GHZ states** — built with Streamlit, QuTiP, Qiskit, and Plotly. Deployed live. Cite-able via Zenodo DOI.

---

## 🌐 Live Dashboard

<div align="center">
  
### Try it instantly -> no installation, no login, no API key

**[`🔗 https://quantum-secret-sharing-simulator.streamlit.app/`](https://quantum-sharing-simulator.streamlit.app/)**

<br/>

</div>

---

## 🧮 Theory

### GHZ State

$$|GHZ_N\rangle = \frac{1}{\sqrt{2}}\bigl(|00\cdots0\rangle + |11\cdots1\rangle\bigr)$$

### Protocol (3-node case)

1. Nodes A, B, C share a GHZ state
2. Each picks phase $\phi_i \in \{0, \pi/2\}$
3. Each applies $P(\phi)|1\rangle = e^{i\phi}|1\rangle$
4. New state: $|\psi\rangle = \frac{1}{\sqrt{2}}\bigl(|000\rangle + e^{i(\alpha+\beta+\gamma)}|111\rangle\bigr)$
5. All measure in Pauli-X basis → outcomes $a, b, c \in \{+1, -1\}$
6. Proceed only if $\alpha + \beta + \gamma \in \{0, \pi\}$
7. Product: $a \cdot b \cdot c = \cos(\alpha+\beta+\gamma) = \pm 1$
8. A and B exchange outcomes → infer $c = a \cdot b \cdot d$ where $d = \cos(\alpha+\beta+\gamma)$

### Security

Local outcomes are uniformly random → Eve sees only noise.  
Intercept-resend attack: QBER $= p_{\text{intercept}}/2$.  
Detection threshold: QBER $> 5\%$.

### Tittel et al. (2000) Detection Formula

$$P_{ijk} = \frac{1}{8}\bigl[1 + ijk\cos(\alpha+\beta+\gamma)\bigr], \quad i,j,k \in \{+1,-1\}$$

---

## 🗂️ Repository Structure

```
Quantum-Secret-Sharing-Simulator/
├── app.py                        # Streamlit entrypoint
├── requirements.txt              # Pinned dependencies
├── pyproject.toml                # Build + ruff config
├── README.md
├── CITATION.cff                  # Zenodo DOI
├── LICENSE                       # MIT
│
├── qss/                          # Core simulation package (no Streamlit)
│   ├── __init__.py
│   ├── protocol.py               # QSS round orchestrator
│   ├── ghz.py                    # GHZ state, both approaches
│   ├── cache.py                  # @st.cache_resource / cache_data
│   ├── circuit.py                # Qiskit circuit builder + runner
│   ├── noise.py                  # Depolarise / dephase channels
│   ├── eavesdropper.py           # Eve attack, QBER calculation
│   ├── metrics.py                # Fidelity, purity, entropy
│   └── tittel2000.py             # Optical experiment replica
│
├── pages/                        # One file per Streamlit tab
│   ├── protocol_lab.py           # Tab 1: 3-node walkthrough
│   ├── circuit_view.py           # Tab 2: Qiskit circuit + noise
│   ├── eve_attack.py             # Tab 3: Eve + QBER live plot
│   ├── n_node_scale.py           # Tab 4: N-node generalisation
│   ├── optical_replica.py        # Tab 5: Tittel-2000 photons
│   └── benchmark.py              # Tab 6: Approach 1 vs 2
│
├── components/                   # Reusable UI widgets
│   ├── sidebar.py
│   ├── bloch.py
│   ├── wigner.py
│   ├── metrics_bar.py
│   ├── phase_panel.py
│   └── circuit_drawer.py
│
├── tests/                        # pytest suite
│   ├── conftest.py
│   ├── test_ghz.py
│   ├── test_protocol.py
│   ├── test_eavesdropper.py
│   ├── test_noise.py
│   ├── test_tittel2000.py
│   └── test_metrics.py
│
├── .github/workflows/
│   ├── ci.yml                    # pytest + ruff on every push
│   └── release.yml               # tag → Zenodo DOI
│
├── notebooks/
│   └── walkthrough.ipynb         # Academic narrative notebook
│
└── docs/
    ├── theory.md                 # Full theory reference
    └── api_reference.md          # Public API docs
```

---

## ⚡ Quick Start (Local)

```bash
# 1. Clone
git clone https://github.com/Sumitchongder/Quantum-Secret-Sharing-Simulator.git
cd Quantum-Secret-Sharing-Simulator

# 2. Install
pip install -r requirements.txt

# 3. Run
streamlit run app.py
```

App opens at `http://localhost:8501`

---

## 📊 Dashboard Tabs

| Tab | What it shows | Key interaction |
|-----|--------------|-----------------|
| 📡 Protocol Lab | Step-by-step 3-node QSS | Phase sliders → live parity + secret |
| ⚛️ Circuit View | Qiskit circuit diagram + counts | Noise toggle → QBER from counts |
| 🕵️ Eve Attack | QBER vs intercept probability | Eve probability slider |
| 🔢 N-Node Scale | Fidelity vs noise for N=3–8 | N slider → Hilbert space growth |
| 🔬 Optical Replica | Tittel-2000 P_ijk probabilities | Continuous phase sliders |
| 📊 Benchmark | Approach 1 vs 2 radar + bars | N slider → all metrics update |

---

## 🏎️ Performance

All interactions after warm-up are < 5 ms:

| Operation | Cold | Warm |
|-----------|------|------|
| GHZ state build | ~120 ms | **0 ms** (cache_resource) |
| Phase slider | — | **< 5 ms** (lru_cache) |
| Wigner function | ~300 ms | **< 1 ms** (cache_data) |
| Qiskit circuit | ~200 ms | **< 2 ms** (cache_data) |
| QBER curve | — | **< 2 ms** (vectorised NumPy) |

---

## 🧪 Tests

```bash
pytest tests/ -v --tb=short
```

Test coverage includes: GHZ norm/entanglement, parity rule, secret reconstruction,
measurement product constraint, QBER bounds, noise analytical formulas, Tittel-2000 probability sums.

---

## 📚 References

1. M. Hillery, V. Bužek, A. Berthiaume, "Quantum secret sharing", *Phys. Rev. A* **59**, 1829 (1999)
2. W. Tittel, H. Zbinden, N. Gisin, "Experimental demonstration of quantum secret sharing", *Phys. Rev. A* **63**, 042301 (2001)
3. A. K. Ekert, "Quantum cryptography based on Bell's theorem", *Phys. Rev. Lett.* **67**, 661 (1991)

---

## 📄 How to Cite

```bibtex
@software{chongder2025qss,
  author    = {Chongder, Sumit Tapas},
  title     = {Quantum Secret Sharing Simulator},
  year      = {2025},
  version   = {1.0.0},
  url       = {https://github.com/Sumitchongder/Quantum-Secret-Sharing-Simulator},
  license   = {MIT}
}
```

---

## 👤 Author

**Sumit Tapas Chongder**  
M.Tech in Quantum Technologies · IIT Jodhpur  
Supervisor: Dr. Atul Kumar  
Course: Seminal Features of Quantum Information

---

## 📜 License

MIT — see [LICENSE](LICENSE)

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