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docs: update README with final hardware results and performance metrics for classical solvers
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README.md

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| **Brute Force** | ICICIBANK + SBIN | +23.92% | 31.70% | 0.7548 | ✅ Ground truth |
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| **QAOA Simulator (p=4)** | ICICIBANK + SBIN | +23.92% | 31.70% | 0.7548 | ✅ Matched optimal |
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| **QAOA Hardware (ibm_fez)** | | | | | 🚀 **Job submitted:** `d7rg2nqudops7395m6ig` |
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| Greedy Selection | | | | | ⏳ Pending |
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| Simulated Annealing | | | | | ⏳ Pending |
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| **QAOA Hardware (ibm_fez)** | ICICIBANK + SBIN | +23.92% | 31.70% | 0.7548 | **Matched optimal** (28.8% prob.) |
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| **Greedy Selection** | ICICIBANK + SBIN | +23.92% | 31.70% | 0.7548 | ✅ Found optimal |
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| **Simulated Annealing** | ICICIBANK + SBIN | +23.92% | 31.70% | 0.7548 | ✅ Found optimal |
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### Hardware Job Status
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**Job ID:** `d7rg2nqudops7395m6ig`
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**Backend:** IBM Quantum (`ibm_fez`)
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**Status:****COMPLETE**
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**Depth:** p=4 layers (8 parameters optimized via COBYLA)
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**Shots:** 1000
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**Best Bitstring:** `011` (ICICIBANK + SBIN) — **28.8% probability** (288 shots)
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#### Results
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- **Portfolio:** ICICIBANK.NS + SBIN.NS
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- **Return:** +23.92%
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- **Risk:** 31.70%
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- **Sharpe Ratio:** 0.7548
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- **Match:****Perfectly matched brute-force optimal**
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#### Top 5 Bitstrings Observed
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| Bitstring | Assets | Shots | Probability |
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|---|---|---|---|
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| `011` | ICICIBANK + SBIN | 288 | 28.8% ✅ |
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| `101` | HDFCBANK + SBIN | 285 | 28.5% |
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| `110` | HDFCBANK + ICICIBANK | 270 | 27.0% |
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| `100` | HDFCBANK | 35 | 3.5% |
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| `111` | All 3 assets | 33 | 3.3% |
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**To Monitor & Fetch Results:**
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```bash
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python results/monitor_hardware_job.py d7rg2nqudops7395m6ig
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```
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This script will:
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1. Poll IBM Quantum every 60 seconds for job status
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2. Automatically extract results when complete
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3. Compute portfolio metrics (return, risk, Sharpe ratio)
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4. Display top 5 bitstrings observed
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---
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See dashboard at: https://quantum.ibm.com/jobs
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## 🧮 Classical Methods Performance
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### Greedy Selection
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- **Algorithm:** Iteratively select assets with highest Sharpe ratio
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- **Selected:** ICICIBANK + SBIN
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- **Metrics:** +23.92% return, 31.70% risk, 0.7548 Sharpe
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- **Execution Time:** **0.0001s** (instant)
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- **Result:** ✅ Found optimal solution
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### Simulated Annealing
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- **Algorithm:** QUBO solver with temperature-based acceptance
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- **Params:** T_start=1000, cooling_rate=0.99, max_iter=10000
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- **Selected:** ICICIBANK + SBIN
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- **Metrics:** +23.92% return, 31.70% risk, 0.7548 Sharpe
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- **Execution Time:** **0.0480s** (fast)
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- **Result:** ✅ Found optimal solution
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### Summary
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All methods (Brute Force, Greedy, SA, QAOA Simulator, QAOA Hardware) **converged to the same optimal portfolio**, validating the correctness of the formulation and solvers.
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