diff --git a/NEWPROPOSAL/FULLPROP.tex b/NEWPROPOSAL/FULLPROP.tex index dad33547f1741f7a3213591873a0040c8e0b7f31..c833d7023fd82419185384286aad6c841392d765 100644 --- a/NEWPROPOSAL/FULLPROP.tex +++ b/NEWPROPOSAL/FULLPROP.tex @@ -229,7 +229,7 @@ easily run existing programs, and future programming languages automatically gai This means that one can formally prove every equality of quantum circuits in these gate models through the application of a small number of relatively simple rules for rewriting tensors. This stunning achievement opens the door to many new possibilities for optimisation and verification of quantum -computations. +computations. % and is complete for important subtheories such as the stablizer % fragment \cite{1367-2630-16-9-093021} and single qubit Clifford+T @@ -255,7 +255,7 @@ An example of such a transformation is the following:} %\cnotv[0.6] \rTo^* \cnotvi[0.7] \]~\\[-4mm]% -Members of our consortium have demonstrated how to use these formal reasoning techniques in software, including the interactive theorem prover {\tt quantomatic} \cite{Kissinger2015Quantomatic:-A-} (which was used to formally verify quantum communication protocols and error correcting codes \cite{Chancellor2016Coherent-Parity,Duncan:2013lr}) and {\tt PyZX}~\cite{DKPdW-2019}, which provides an early demonstration of the capacity of the \zxcalculus to \newt{outperform other methods of circuit optimisation}. +Members of our consortium have demonstrated how to use these formal reasoning techniques in software, including the interactive theorem prover {\tt quantomatic} \cite{Kissinger2015Quantomatic:-A-} (which was used to formally verify quantum communication protocols and error correcting codes \cite{Chancellor2016Coherent-Parity,Duncan:2013lr}) and {\tt PyZX}~\cite{DKPdW-2019}, which provides an early demonstration of the capacity of the \zxcalculus to \newt{outperform other methods of circuit optimisation, in the sense that certain circuit metric (such as total size, tree-width, or number of non-Clifford subterms such as T-gates) can be minimised.} \TODO{citations if there is space, otherwise maybe kill the second half of this sentence.} %%% cutting because repeated later % It is strictly more powerful than the stabiliser