"In QM the number of dimensions in Hilbert Space grows exponentially with the number of qubits (the building blocks of quantum computers). In RaQM, the information content in the quantum state only grows linearly with the number of qubits.
‘In RaQM, above a critical number of entangled qubits, there simply isn’t enough information in the quantum state to allocate even one bit of information to each dimension of Hilbert Space,’ explains Professor Palmer. ‘When this happens, quantum algorithms that utilise all of Hilbert Space will stop having a quantum advantage over classical algorithms. An example is Shor’s algorithm for factoring integers and hence decrypting RSA-encrypted messages.’
Professor Palmer predicts that Shor’s algorithm will start to fail in this way when a few hundred (error-corrected) qubits are entangled. This is bad news for those looking to develop quantum computers for practical applications. However, Professor Palmer views things more positively: ‘If quantum computers provide the experiments not only to find a successor theory to QM, but more importantly to find the theory which synthesises quantum and gravitational physics, that would surely be an extraordinarily good outcome for all the work that has been put into quantum computing over the years.’"
University of Oxford Department of Physics
Rational quantum mechanics: a new theory of quantum physics
In a paper published today in the Proceedings of the National Academy of Sciences (PNAS), Emeritus Professor Tim Palmer FRS considers quantum mecha...
