In foundations of physics a Hamming problem would be measuring gravity from entangled states, so called gravcats. It is one area where QM does not make obvious definite predictions, as the details depend on the quantum nature of gravity, if any.
In contrast, the prediction is obvious and clear for QM+Newtonian gravity: any measurement of gravitational effects results in rapid entanglement with the measuring apparatus and decoherence of the entangled state.
Sadly, the limiting factor right now is the accuracy of the measurement, as we currently cannot measure gravity from objects below Planck mass (20 microgram), or put large enough objects into a superposition (current limit is an equivalent of tens of thousands hydrogen atoms, 16 orders of magnitude difference).
In foundations of physics a Hamming problem would be measuring gravity from entangled states, so called gravcats. It is one area where QM does not make obvious definite predictions, as the details depend on the quantum nature of gravity, if any.
In contrast, the prediction is obvious and clear for QM+Newtonian gravity: any measurement of gravitational effects results in rapid entanglement with the measuring apparatus and decoherence of the entangled state.
Sadly, the limiting factor right now is the accuracy of the measurement, as we currently cannot measure gravity from objects below Planck mass (20 microgram), or put large enough objects into a superposition (current limit is an equivalent of tens of thousands hydrogen atoms, 16 orders of magnitude difference).