Hardy's argument and successive spin-s measurements

TL;DR

This paper explores a hidden-variable approach to successive spin measurements, revealing a Hardy-type contradiction with quantum mechanics that varies with spin magnitude, and quantifies the maximum success probability.

Contribution

It introduces a Hardy-type argument for successive spin measurements and calculates the maximum quantum success probability as a function of spin, extending previous spatial case results.

Findings

Quantum predictions violate the hidden-variable model in this scenario.

Maximum success probability is $(rac{1}{2})^{4s}$, depending on spin magnitude.

The success probability exceeds that of the spatial case.

Abstract

We consider a hidden-variable theoretic description of successive measurements of non commuting spin observables on a input spin-s state. In this scenario, the hidden-variable theory leads to a Hardy-type argument that quantum predictions violate it. We show that the maximum probability of success of Hardy's argument in quantum theory is $(\frac{1}{2})^{4s}$, which is more than in the spatial case.