Any complex tensor network can be converted into a real-valued tensor network with arithmetic overhead 1+2m+r (never above 3x) and at most doubled intermediate sizes, with measured speedups on real-only NPUs.
Yao.jl: Extensible, efficient framework for quantum algorithm design.Quantum, 4:341, 2020
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Realified tensor networks: quantum circuit simulation on real-valued matrix accelerators
Any complex tensor network can be converted into a real-valued tensor network with arithmetic overhead 1+2m+r (never above 3x) and at most doubled intermediate sizes, with measured speedups on real-only NPUs.