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A note on AND-gates in ZX-calculus: QBC-completeness and phase gadgets | | Anthony Munson
; Bob Coecke
; Quanlong Wang
; | | Date: |
15 Oct 2019 | | Abstract: | In this note we exploit the utility of the triangle symbol in ZX-calculus,
and its role within the ZX-representation of AND-gates in particular. First, we
derive a decomposition theorem for large phase gadgets, something that is of
key importance to recent developments in quantum circuit optimisation and
T-count reduction in particular. Then, using the same rule set, we prove a
completeness theorem for quantum Boolean circuits (QBCs), which adds to the
plethora of complete reasoning systems under the umbrella of ZX-calculus. | | Source: | arXiv, 1910.6818 | | Services: | Forum | Review | PDF | Favorites | |
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