cirq.Y

cirq.Y = cirq.Y

A gate that rotates around the Y axis of the Bloch sphere.

The unitary matrix of YPowGate(exponent=t) is:

[[g·c, g·s],
 [-g·s, g·c]]

where:

c = cos(π·t/2)
s = sin(π·t/2)
g = exp(i·π·t/2).
Note in particular that this gate has a global phase factor of
e^{i·π·t/2} vs the traditionally defined rotation matrices
about the Pauli Y axis. See cirq.Ry for rotations without the global
phase. The global phase factor can be adjusted by using the global_shift
parameter when initializing.

cirq.Y, the Pauli Y gate, is an instance of this gate at exponent=1.