Examples

• 1. 2D Antiferromagnetic Model Example
• 2. Quenching a Random Product State
  • 2.1. Evolution
• 3. MPI Interior Eigensolve with Lazy, Projected Operators
• 4. Example - Tensor Renormalization Group (TRG)
  • 4.1. Define the algorithm
  • 4.2. Run the algorithm
  • 4.3. Check against exact result
  • 4.4. Extensions
• 5. Tensor Network Random Unitary Evolution
  • 5.1. Manually perform partial trace
  • 5.2. Estimate Subsystem Entropy
• 6. Periodic DMRG and Calculations
  • 6.1. Z-Correlations
  • 6.2. Compressed Density Matrix
• 7. MPS Evolution with TEBD
  • 7.1. Non-translationally invariant Hamiltonians
• 8. Basic MERA Manipulations & Optimization
  • 8.1. Computing Local Quantities
• 9. Optimizing a Tensor Network using Tensorflow
• 10. Tensor Network Training of Quantum Circuits
  • 10.1. The Ansatz Circuit
  • 10.2. The Target Unitary
  • 10.3. The Tensor Network Optimization
  • 10.4. Extracting the New Circuit
• 11. Bayesian Optimizing QAOA Circuit Energy
  • 11.1. Setting Up the Circuit
  • 11.2. Rehearsing the Computation
  • 11.3. Bayesian Optimizing the Energy
• 12. Using quimb within torch
• 13. Using quimb within jax, flax and optax
  • 13.1. Notes
• 14. Generic Tensor Fitting
• 15. schematic - manual drawing
  • 15.1. Illustrative full examples
  • 15.2. Individual elements:
  • 15.3. Lines and curves
  • 15.4. Highlighting areas and groups of objects