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The GHZ/W-calculus contains rational arithmetic | | Bob Coecke
; Aleks Kissinger
; Alex Merry
; Shibdas Roy
; | | Date: |
15 Mar 2011 | | Abstract: | Graphical calculi for representing interacting quantum systems serve a number
of purposes: compositionally, intuitive graphical reasoning, and a logical
underpinning for automation. The power of these calculi stems from the fact
that they embody generalized symmetries of the structure of quantum operations,
which, for example, stretch well beyond the Choi-Jamiolkowski isomorphism. One
such calculus takes the GHZ and W states as its basic generators. Here we show
that this language allows one to encode standard rational calculus, with the
GHZ state as multiplication, the W state as addition, the Pauli X gate as
multiplicative inversion, and the Pauli Z gate as additive inversion. | | Source: | arXiv, 1103.2812 | | Services: | Forum | Review | PDF | Favorites | |
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