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🧪 Hardware-Aware Benchmarking of Variational Quantum Algorithms on NISQ Devices

DOI

A reproducible, hardware-aware benchmarking framework to study the impact of realistic quantum noise on Variational Quantum Algorithms (VQAs) across NISQ-era quantum hardware.


📌 Abstract

Variational Quantum Algorithms (VQAs) are leading candidates for achieving near-term quantum advantage on Noisy Intermediate-Scale Quantum (NISQ) devices. However, their performance is highly sensitive to hardware-specific noise, gate fidelities, and circuit depth.
This repository presents a systematic and reproducible benchmarking framework that evaluates the degradation of entanglement, energy estimation, and circuit depth under realistic noise models inspired by IBM superconducting qubit systems and IonQ trapped-ion architectures.

All experiments are implemented using Qiskit and Aer simulators, enabling hardware-aware yet fully reproducible analysis suitable for academic research and IEEE-style publications.


🎯 Objectives

  • Benchmark entanglement degradation under realistic noise
  • Compare IBM-like and IonQ-like hardware behavior
  • Analyze VQA energy estimation robustness under noise
  • Study depth-normalized entanglement decay
  • Demonstrate hardware-aware error mitigation techniques
  • Provide a fully reproducible research pipeline

✨ Key Contributions

  • Hardware-aware noise modeling for superconducting (CZ-based) and trapped-ion systems
  • Bell-state entanglement benchmarking under increasing noise
  • Entanglement metrics: Concurrence, Fidelity, Negativity
  • Energy vs noise analysis for variational ansätze
  • Depth-normalized entanglement decay comparison
  • Zero-Noise Extrapolation (ZNE) for error mitigation
  • Transpilation-aware circuit depth and gate analysis
  • Publication-ready, reproducible experimental workflow

🧠 Methodology

1️⃣ Ideal Baseline

  • Bell-state preparation
  • Ideal statevector simulation
  • Analytical entanglement verification

2️⃣ Hardware-Aware Noise Modeling

  • Depolarizing and gate-specific noise
  • CZ gate noise for IBM-like superconducting hardware
  • Two-qubit interaction noise for IonQ-like trapped-ion systems

3️⃣ Entanglement Analysis

  • Density matrix simulation
  • Concurrence, fidelity, and negativity computation
  • Noise-dependent entanglement decay curves

4️⃣ Variational Energy Estimation

  • Parametric variational ansatz
  • Expectation value estimation under noise
  • Energy degradation analysis vs hardware error

5️⃣ Error Mitigation

  • Zero-Noise Extrapolation (ZNE)
  • Comparison of noisy vs mitigated results

📊 Results and Figures

All figures are generated programmatically and saved to the figures/ directory.

Figure Description
entanglement_decay.png Concurrence vs noise strength
hardware_comparison.png IBM vs IonQ entanglement decay
energy_vs_noise.png VQA energy vs hardware noise
depth_analysis.png Depth-normalized entanglement loss
zne_comparison.png Error-mitigated vs noisy results

⚙️ Installation

🔹 Prerequisites

  • Python ≥ 3.9
  • pip
  • Git

🔹 Clone Repository

git clone https://github.com/MrigankJaiswal-hub/vqa-hardware-benchmark.git
cd vqa-hardware-benchmark



 **🚀 Future Work**

Execution on real IBM Quantum and IonQ hardware
Extension to QAOA and larger VQE benchmarks
Advanced error mitigation (PEC, CDR)
Pulse-level noise modeling
ML-assisted hardware-aware ansatz optimization




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Hardware-Aware Variational Quantum Algorithms under Noise (VQE / QAOA Benchmarking Across IBM & IonQ)

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