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commutator

commutator(const Operator A, const Operator B) -> Operator​

Computes the commutator of two quantum operators [A,B] = AB - BA. Returns zero operator for identical operators or operators acting on disjoint sites.

Parameters​

  • A: The first operator (left operand).
  • B: The second operator (right operand).

Returns​

The resulting commutator operator. Returns zero for commuting operators, otherwise returns the computed commutator with complex coefficients.

Example​

var comm = commutator(X(0), Y(0))   // Non-zero commutator
var zero1 = commutator(X(0), X(0))  // Zero (identical operators)
var zero2 = commutator(X(0), Y(1))  // Zero (disjoint sites)