| name | nuclear-lattice-vqe |
| description | Variational Quantum Eigensolver (VQE) framework for nuclear lattice effective field theory. Computes ground state energies of light nuclei (2H, 3H, 4He) using Gray code encoding with symmetry reduction for compact qubit representation. Keywords: nuclear physics, VQE, variational quantum eigensolver, nuclear lattice EFT, Gray code encoding, Jordan-Wigner, light nuclei, deuterium, tritium, helium-4. |
Nuclear Lattice VQE
Quantum computing framework for nuclear lattice effective field theory using variational quantum eigensolver (VQE) for light nuclei calculations.
Core Concepts
Nuclear Lattice EFT
- Framework: Lattice effective field theory for nuclear physics
- Challenge: Classical implementation increasingly difficult for larger systems
- Quantum solution: VQE for nuclear many-body problems
Quantum Approach
- Algorithm: Variational Quantum Eigensolver
- Systems: Few-body nuclei (2H, 3H, 4He)
- Geometry: Three-dimensional nuclear lattice model
Technical Specifications
Encoding Comparison
| Encoding | Qubits | Compactness |
|---|
| Jordan-Wigner | Higher | Baseline |
| Gray Code + Symmetry | Lower | Substantially more compact |
Systems Studied
- 2H (Deuterium): Two-nucleon system
- 3H (Tritium): Three-nucleon system
- 4He (Helium-4): Four-nucleon system
Results
- Ground State Energies: Calculated on finite lattices
- Convergence: Clear approach to experimental binding energies
- Lattice Size: Increasing size improves accuracy
Implementation
VQE Framework
- State Preparation: Prepare nuclear state ansatz
- Hamiltonian Encoding: Map nuclear Hamiltonian to qubits
- Variational Optimization: Minimize energy expectation
- Result Extraction: Measure ground state energy
Encoding Strategy
Jordan-Wigner
- Standard fermionic encoding
- Higher qubit requirements
Gray Code + Symmetry Reduction
- More compact representation
- Exploits nuclear symmetries
- Substantially fewer qubits
Lattice Model
- Dimensions: 3D nuclear lattice
- Interactions: Nuclear effective field theory
- Boundaries: Finite lattice size effects
Workflow
Step 1: System Selection
Choose target nucleus (2H, 3H, 4He)
Step 2: Encoding Choice
- Compare Jordan-Wigner vs Gray Code
- Apply symmetry reduction
- Optimize qubit count
Step 3: VQE Execution
- Prepare variational ansatz
- Optimize parameters
- Measure energy
Step 4: Convergence Analysis
- Vary lattice size
- Compare with experimental values
- Extrapolate to continuum limit
Applications
Nuclear Structure
- Light nuclei binding energies
- Nuclear forces
- Three-body forces
Nuclear Reactions
- Scattering processes
- Reaction cross-sections
- Astrophysical reactions
Benchmarking
- Quantum algorithm validation
- Encoding comparison
- Noise resilience
Future Directions
System Extensions
- Heavier nuclei
- Infinite nuclear matter
- Neutron stars
Algorithm Improvements
- Error mitigation
- Better ansatz design
- Hardware-efficient implementations
References
- Paper: arXiv:2604.13430 - "Quantum computing for effective nuclear lattice model"
- Category: Quantum Chemistry / Nuclear Physics
Related Skills
- variational-quantum-eigensolver
- quantum-chemistry
- nuclear-physics-simulation
