IQC Student Seminar featuring Jack Davis

Exploring Wigner Negativity of Pure Spin States on a Spherical Phase Space

The past two decades have largely vindicated the long-held belief that Wigner negativity is an indicator of genuine nonclassicality in quantum systems. Here we will discuss how Wigner negativity manifests in pure spin-j systems using the spherical Wigner function. Common symmetric multi-qubit states are studied and compared, including Bell, W and GHZ states. Spin coherent states are shown to never have vanishing Wigner negativity, in contrast to other phase spaces. Pure states that maximize negativity are determined and analyzed using the Majorana stellar representation. Time permitting, these results will be contrasted with similar works on symmetric state entanglement and other forms of phase-space nonclassicality.

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