Contraction Heuristics for Tensor Decision Diagrams
2024

Contraction Heuristics for Tensor Decision Diagrams

publication Evidence: high

Author Information

Author(s): Larsen Christian Bøgh, Olsen Simon Brun, Larsen Kim Guldstrand, Schilling Christian

Primary Institution: Department of Computer Science, Aalborg University

Hypothesis

Can new contraction heuristics improve the efficiency of tensor decision diagrams for checking the equivalence of quantum circuits?

Conclusion

The proposed contraction heuristics for tensor decision diagrams outperform existing methods in checking the equivalence of quantum circuits.

Supporting Evidence

  • The new heuristics were shown to outperform existing state-of-the-art methods.
  • The study provides a framework for checking the equivalence of quantum circuits using tensor networks.
  • Experimental results indicate that the counting heuristic is more efficient than the lookahead heuristic.

Takeaway

This study introduces new methods to help computers check if two quantum circuits are the same, making it faster and easier to do so.

Methodology

The study integrates contraction heuristics into tensor decision diagrams to improve the efficiency of equivalence checking for quantum circuits.

Limitations

The heuristics may not perform equally well across all types of quantum circuits and are currently implemented in a sequential manner without parallelization.

Digital Object Identifier (DOI)

10.3390/e26121058

Want to read the original?

Access the complete publication on the publisher's website

View Original Publication