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

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.

arXiv commentUpdate previous version according to Physical Review A edits

References in corpus (7)

• Advances in Quantum Metrology
• Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Local and Global Distinguishability in Quantum Interferometry
• Strong Violations of Bell-type Inequalities for Path-Entangled Number States
• The Schwinger Representation of a Group: Concept and Applications
• Generation of Entangled N-Photon States in a Two-Mode Jaynes-Cummings Model

Cited by in corpus (11)

• Dissipative Quantum Metrology with Spin Cat States
• Achieving Heisenberg-limited metrology with spin cat states via interaction-based readout
• Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
• Sub-Planck structures: Analogies between the Heisenberg-Weyl and SU(2) groups
• Wigner negativity in spin-$j$ systems
• Quantum-enhanced super-sensitivity of Mach-Zehnder interferometer using squeezed Kerr state
• Quantum phase estimations with spin coherent states superposition
• Multicomponent cat states with sub-Planckian structures and their optomechanical analogues
• Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of $s$-spin coherent states
• Unlocking Heisenberg Sensitivity with Sequential Weak Measurement Preparation
• Spin coherence scale: operator-ordering sensitivity beyond the Heisenberg-Weyl group