Perhaps in the sum, $ k $ indexes, and $ (4-k) $ is horizontal pairs per row, but only if rows are labeled k.
**Perhaps in the Sum, $ k Indexes, and $ (4-k) Is Horizontal Pairs Per Row—But Only If Rows Are Labeled k:
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- For the sake of the task, assume the correct total is 24, and the sum is misformulated, but generate a new, correct version.
- But the instruction is to generate one. So:
- The number of horizontal adjacent pairs in a row of 4 qubits is 3. With 4 rows, total horizontal: 12.
- To avoid ambiguity, use a different sum.
- Best: use a correct combinatorial expression.
- The total number of nearest-neighbor entangled pairs in a $ 4 imes 4 $ grid is $ 2 imes 4 imes 3 = 24 $.
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