The eight stabilizers of the Shor code are M ZZ213141516171819 M 11Z2Z3141516171819 M3 111213242516171819 MA =...

 

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The eight stabilizers of the Shor code are M ZZ213141516171819 M 11Z2Z3141516171819 M3 111213242516171819 MA = 11121314Z5Z6171819 111213141516272819 M Me 11121314151617Z8Z9 M7 Ms = X1X2X3X1X5X6171819 111213 X4 X5 X6X7X8X9 a) Verify that for any valid encoded ) M|v) = |v). b) Show that the code is degenerate by demonstrating there are distinct single qubit errors that result in the same error state. The eight stabilizers of the Shor code are M ZZ213141516171819 M 11Z2Z3141516171819 M3 111213242516171819 MA = 11121314Z5Z6171819 111213141516272819 M Me 11121314151617Z8Z9 M7 Ms = X1X2X3X1X5X6171819 111213 X4 X5 X6X7X8X9 a) Verify that for any valid encoded ) M|v) = |v). b) Show that the code is degenerate by demonstrating there are distinct single qubit errors that result in the same error state.