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The no-cloning theorem was first discovered by researchers in the 1980s. It says that quantum states that describe all the information about a system can’t be copied. Attempting to measure the information to copy it would simply destroy the delicate quantum properties that you want to measure. This fact has proved important for quantum technologies like encryption, leading to simple protocols that prevent information from being copied and hacked.
Achim Kempf at the University of Waterloo in Canada and Koji Yamaguchi at Kyushu University in Japan have now shown that a quantum system can, in fact, be cloned, as long as the information about it is encrypted and enclosed with a special, one-off decryption key.
“You can make a lot of copies and generate redundancy in this way, but you have to encrypt the copies, and the decryption key can only be used once,” says Kempf. “This makes it compatible with a no-cloning theorem, because it says there can only ever be at most one clear, obvious, readable, non-encrypted copy of a qubit.”
Kempf and Yamaguchi arrived at this surprising conclusion after working on a seemingly unrelated problem – how a quantum Wi-Fi or radio station might work. This is something that is impossible under the traditional no-cloning theorem because multiple receivers would get the same identical quantum information.
But when the pair looked at how random fluctuations, or noise, would affect the copies of information that receivers see, they realised that their system might work. “We thought, what the hell? Why does quantum noise seem to mess with the no-cloning theorem?”
After analysing the problem more carefully, they realised that the noise was acting as an effective encryption mechanism, garbling the original message but in a way that could be reversed. If this was done intentionally, it could be exploited as a tool.
Once they had proved this result theoretically, the pair and other colleagues showed that this protocol could work on a real IBM Heron 156-qubit quantum computing processor.
Because the technique is fairly resistant to noise and errors that are ubiquitous in today’s quantum computers, the team found they could make hundreds of encrypted clones of single qubits, by repeating the process over and over again. “In fact, we ran out of real estate on the IBM processor. It holds only 156 qubits but we estimated that we can do more than 1000 encrypted clones before the [errors] make us stop.”
This modification to the no-cloning theorem could have uses for a quantum cloud storage or computing service, says Kempf. “If you send a file to Dropbox, it will save your data at least three times in three different computers that are geographically separated, so that if one is hit by fire, the other one by a flood, there’s a fair chance the third one survives,” says Kempf. “It used to be thought you can’t do that with quantum information, because you can’t clone it. But what we showed is that you can do it.”
“It’s an interesting quantum cryptographic protocol,” says Aleks Kissinger at the University of Oxford, and could have uses in quantum communication where you need some redundancy in the information being transmitted. However, it doesn’t affect the original no-cloning theorem because Kempf and his team’s method isn’t obviously cloning, he says. “It’s not so much cloning as a kind of spreading the [quantum] state to lots of other parties, in such a way that any one of those parties could later get it back,” says Kissinger. “It’s a clever trick, but I personally wouldn’t call that cloning.”
Kempf agrees. “It’s not cloning. It’s encrypted cloning,” he says. “That’s just a refinement of the no-cloning theorem.” %!s(
