Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices

<table>Signal flow graph for Pauli block transform for <svg height="15.9" id="M314" style="vertical-align:-3.3907pt" version="1.1" viewbox="0 0 23.9375 15.9" width="23.9375" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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q-51 0 -90 -43q-38 -44 -38 -116q0 -53 27 -105l-22 -10q-35 58 -35 130q0 77 48 128q49 52 113 52q56 0 97 -37q43 -36 43 -109q0 -96 -51 -190q-50 -96 -132 -154q26 -42 62 -42q52 0 102 48l15 -14q-67 -82 -133 -82q-31 0 -51.5 14.5t-40.5 46.5q-74 -38 -150 -38
q-84 0 -130 58t-46 145q0 125 59 240q60 114 162 183t218 69q62 0 102 -37.5t40 -93.5z" id="x1D4AC"></path></g>
<g transform="matrix(.012,-0,0,-.012,11.825,15.7)"><path d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" id="x31"></path></g><g transform="matrix(.012,-0,0,-.012,17.536,15.7)"><path d="M153 550l-26 -186q79 31 111 31q90 0 141.5 -51t51.5 -119q0 -93 -89 -166q-85 -69 -173 -71q-32 0 -61.5 11.5t-41.5 23.5q-18 17 -17 34q2 16 22 33q14 9 26 -1q61 -50 124 -50q60 0 93 43.5t33 104.5q0 69 -41.5 110t-121.5 41q-53 0 -102 -20l38 305h286l6 -8
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</svg>.</table>

Advances in Mathematical Physics

fig1

Figure 1

Figure 1: Fast Constructions of Quantum Codes Based on Residues Pauli Block Matrices 