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arXiv · 1701.03309

Shaded Tangles for the Design and Verification of Quantum Programs (Extended Abstract)

David Reutter·Jamie Vicary
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Abstract

We give a scheme for interpreting shaded tangles as quantum programs, with the property that isotopic tangles yield equivalent programs. We analyze many known quantum programs in this way -- including entanglement manipulation and error correction -- and in each case present a fully-topological formal verification, yielding in several cases substantial new insight into how the program works. We also use our methods to identify several new or generalized procedures.

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David Reutter, Jamie Vicary. 2017-01-12. Shaded Tangles for the Design and Verification of Quantum Programs (Extended Abstract). https://doi.org/10.4204/eptcs.266.21

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