TL;DR
This paper develops a graphical method to analyze Schwinger's oscillator model of spin, revealing its limitations to certain spins and illustrating the connection between superposition in angular momentum and entanglement in harmonic oscillators, with implications for quantum computing.
Contribution
It introduces a graphical approach to determine states in Schwinger's model, clarifies its applicability, and links superposition states to entangled states, advancing understanding in quantum state representations.
Findings
Schwinger's model is valid only for specific spins.
Superposition states in angular momentum correspond to entangled states in harmonic oscillators.
The method offers new insights into quantum state relations and potential quantum computing applications.
Abstract
The Schwinger's representation of angular momentum(AM) relates two important fundamental models, that of AM and that of harmonic oscillator(HO). However, the representation offers only the relations of operators but not states. Here, by developing a graphic method to calculate the states, we show that the Schwinger's model is valid only with certain spin. With the relation of states, we also demonstrate how the superposition states in AM map to entangled states in HO. This study has promising applications in quantum computation, and may cast light on the relation between superposition and entanglement.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Quantum Mechanics and Applications · Experimental and Theoretical Physics Studies