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But isn't quantum communication unbreakable? And it should be easier than building a quantum computer.

Quantum Key Distribution (QKD) requires special (expensive) hardware, so it really doesn’t solve the problem of key size. Moreover, QKD still requires an authenticated channel, so we’ll still need a quantum-resistant authentication scheme.

(All in all, QKD does not have a singular use case)

See https://cyber.gouv.fr/en/publications/should-quantum-key-dis...

What about a highspeed quantum channel to transfer all the data?

Still requires special hardware and authentication, AFAICT.

Plus, you often have got length (hundreds of km) and connection constraints (e.g., only over fibre optic).

Reply on news.ycombinator.com