Ex11 8

$\def\abs#1{|#1|}\def\i{\mathbf {i}}\def\ket#1{|{#1}\rangle}\def\bra#1{\langle{#1}|}\def\braket#1#2{\langle{#1}|{#2}\rangle}\def\tr{\mathord{\mbox{tr}}}\mathbf{Exercise\ 11.8}$

Alternative Steane code constructions

a) Find a parity check matrix of the form $[I | A]$ for the Steane code.

b) Construct an alternative circuit, based on the parity check matrix found in part a), that can serve as a syndrome extraction operator for the Steane code.