  Recent attention has been drawn to temperature gradient generated $\Delta_T$
noise at vanishing charge current. This study delves into examining the
properties of spin-polarised $\Delta T$ noise in conjunction with
$\Delta_T$-shot noise, $\Delta_T$-thermal noise, and quantum noise (again both
shot and thermal noise) in a one-dimensional (1D) structure comprising
metal/spin-flipper/metal/insulator/superconductor junction to probe
Yu-Shiba-Rusinov (YSR) bound states. YSR bound states, which are localized
states within the superconducting gap of a superconductor are induced by a
magnetic impurity acting as a spin-flipper. A YSR bound state should be
distinguished from a Majorana bound state (MBS), which too can occur due to
interaction with magnetic impurities, e.g., magnetic adatoms on
superconductors, and this can lead to false positives in detecting MBS.
Clarifying this by providing a unique signature for the YSR-bound state is the
main aim of this work. In this paper, we show that YSR bound states can be
effectively probed using quantum noise and the recently discovered $\Delta_T$
noise, with a focus on especially spin transport. We see that the spin
$\Delta_T$ noise is a superior tool compared to the charge $\Delta_T$ noise as
a probe for YSR bound states. Additionally, our analysis of quantum noise
reveals that similar to $\Delta_T$ noise, spin quantum noise is more effective
than charge quantum noise in detecting YSR bound states.
