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A353196
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Number of stabilizer states on n qubits.
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1
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6, 60, 1080, 36720, 2423520, 315057600, 81284860800, 41780418451200, 42866709330931200, 87876754128408960000, 360118938418219918080000, 2950814581398894008747520000, 48352047730802277227336862720000
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OFFSET
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1,1
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COMMENTS
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A stabilizer state is a quantum state on n qubits prepared by applying a series of Hadamard, CNOT, and S gates to the all-zero state. There are only a finite number of such states for any n.
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LINKS
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FORMULA
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a(n) = 2^n*Product_{i=1..n} (2^i+1).
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EXAMPLE
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For n = 1, the a(1) = 6 states are |0>, |1>, |+>, |->, |i>, and |-i>.
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PROG
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(Python)
def a(n):
ans = 2 ** n
for i in range(1, n+1):
ans *= 2 ** i + 1
return ans
(Python)
from math import prod
def A353196(n): return prod((1<<i)+1 for i in range(1, n+1)) << n # Chai Wah Wu, Jun 20 2022
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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