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Summary

This summary is machine-generated.

Dispersed states are formally identical to two-photon coherent states. Both exhibit non-classical properties like squeezing, challenging the classification of such states as merely coherent.

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Area of Science:

Quantum optics
Quantum information theory

Background:

Two-photon coherent states are a specific type of quantum state.
The classification and properties of quantum states are crucial for understanding quantum phenomena.

Purpose of the Study:

To formally prove the identity between dispersed states and two-photon coherent states.
To clarify the non-classical nature of dispersed states and their relationship to coherent states.

Main Methods:

Formal mathematical proof.
Analysis of quantum state properties, including squeezing and non-classicality.

Main Results:

Established the formal identity of dispersed states and two-photon coherent states.
Demonstrated that dispersed states, like two-photon coherent states, are non-classical and exhibit squeezing.

Conclusions:

Dispersed states belong to the class of squeezed states and are inherently non-classical.
Quantum states exhibiting squeezing and non-classicality should not be referred to as simply 'coherent'.