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It is said that a coherent light beam is described by a single wave because all the individual waves add up in phase to produce a single big wave.

It is also said that entangled light is described by a single wavefunction.

https://qph.is.quoracdn.net/main-qimg-74a1e026576eb278294f9e2ac41996d2?convert_to_webp=true [Broken]

These two descriptions are similar and have been a source of confusion for years for me, even for the teachers at my university. They asked me to find out what the difference between light "described by a single wave" and light "described by a single wavefunction" is.

From the pictures above, I see no difference between coherence and entanglement, so the Internet won't do for explaining the difference to me. Please do so yourself.

It is also said that entangled light is described by a single wavefunction.

https://qph.is.quoracdn.net/main-qimg-74a1e026576eb278294f9e2ac41996d2?convert_to_webp=true [Broken]

These two descriptions are similar and have been a source of confusion for years for me, even for the teachers at my university. They asked me to find out what the difference between light "described by a single wave" and light "described by a single wavefunction" is.

From the pictures above, I see no difference between coherence and entanglement, so the Internet won't do for explaining the difference to me. Please do so yourself.

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