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Create a benchmarking suite for circuit performance #5

Description

@gstenzel

A comprehensive benchmarking suite should be developed for qandle to evaluate performance across a variety of circuit types and execution modes. The suite should:

  • Include both sparsely entangled and densely entangled quantum circuits.
  • Benchmark both forward passes (gradient-free) and backward passes (with gradients).
  • Monitor and report execution speed and peak memory usage for each benchmark run.
  • Research and identify the latest high-performance quantum circuit simulation papers and packages for comparison. Ensure these are included as baseline competitors in the suite where feasible.
  • Use a separate uv dependency group for benchmarking to avoid overly complex default dependencies.

This will provide a robust assessment of qandle's capabilities and areas for optimization, and support ongoing performance improvements.

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