The only truly safe encryption is quantum encryption. Any classical encryption algorithm should be breakable with quantum computers, even if we haven’t figured it out yet like with Shor’s.
Citation needed? Symmetric encryption algorithms like AES (with at least 256 bit key) are considered safe even against quantum computers, based on some reasonable math/qm assumptions.
Yeah, so far as I know the only algorithm that provides an asymptomatic speedup (for AES or similar symmetric key crypto) over a classical computer is Grover's algorithm. That would reduce a 256 bit key to 128, which is hardly disastrous.
Not only that, there are asymmetric encryption algorithms not vulnerable to Shor's algorithm, we're just not using them yet (because they're slower and haven't been as well-studied as RSA or ECC).
What do you mean with quantum encryption? QKD (Quantum Key Distribution)?
Though the concept seems nice, it has quite a few issues in practice. Such as distance between coupled devices, and the need to have a dedicated physical communication line.
Oh and before you think you can just chain several devices to get longer distances: this opens you up to classical MitM attacks.