It's a non-solvable hardware issue. Sony agrees.
From what i've seen it's a 5-pin jack. One of the pins is dedicated for noise feedback. Your PC probably has only 3 pins.
Noise cancellation requires a digital circuit to measure, process and invert the noise signal.
According to this article: "sound processing and battery power are provided by the device they are plugged into". Your PC hasn't got one of those either.