Connection between the N00N State and a superposition of SU(2) Coherent States

TL;DR

This paper explicitly derives the N00N state from a superposition of SU(2) coherent states, revealing their connection and enabling generalizations of N00N states for quantum metrology.

Contribution

It demonstrates the derivation of N00N states from SU(2) coherent state superpositions and clarifies their relationship, allowing for broader generalizations.

Findings

N00N states are a special case of superpositions of SU(2) coherent states

Explicit derivation of N00N state from superposition state

Provides a pathway to generalize N00N states for quantum metrology

Abstract

The N00N state, which was introduced as a resource for quantum-enhanced metrology, is in fact a special case of a superposition of two SU(2) coherent states. We show here explicitly the derivation of the N00N state from the superposition state. This derivation makes clear the connection between these seemingly disparate states as well as shows how the N00N state can be generalized to a superposition of SU(2) coherent states.