OFFSET
1,1
COMMENTS
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.
LINKS
D. Gross, Hudson's Theorem for finite-dimensional quantum systems, arXiv:quant-ph/0602001, 2006-2007.
EXAMPLE
For n = 1, the a(1) = 6 states are |0>, |1>, |+>, |->, |i>, and |-i>.
PROG
(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
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
James Rayman, Apr 29 2022
STATUS
approved