In cryptography, the simple XOR cipher is a type of additive cipher, an encryption algorithm that operates according to the principles:
$A \oplus 0 = A$,
$A \oplus A = 0$,
$(A \oplus B) \oplus C = A \oplus (B \oplus C)$,
$(B \oplus A) \oplus A = B \oplus 0 = B$,
where $\oplus$ denotes the exclusive disjunction (XOR) operation.
How would a quantum XOR cipher be expressed?