Multipartite Spin Coherent States and Spinor States

TL;DR

The paper introduces and analyzes multipartite spin coherent and spinor states, exploring their properties, differences, and potential for quantum information storage, extending the concept of spin coherent states to complex multipartite systems.

Contribution

It presents new multipartite generalizations of spin coherent states, including the spinor states via the Jordan-Schwinger map, and examines their properties and applications in quantum information.

Findings

Spinor states are equivalent to spin coherent states in the unipartite case.

Multipartite spinor states differ from simple tensor products of spin coherent states.

These states have potential utility for quantum information storage.

Abstract

Multipartite generalizations of spin coherent states are introduced and analyzed. These are the spin analogues of multimode optical coherent states as used in continuous variable quantum information, but generalized to possess full spin symmetry. Two possible generalizations are given, one which is a simple tensor product of a given multipartite quantum state. The second generalization uses the bosonic formulation in the Jordan-Schwinger map, which we call spinor states. In the unipartite case, spinor states are equivalent to spin coherent states, however in the multipartite case, they are no longer equivalent. Some fundamental properties of these states are discussed, such as their observables and covariances with respect to symmetric operators, form preserving transformations, and entanglement. We discuss the utility of such multipartite spin coherent and spinor states as a way of storing quantum information.