The hopes for scalable quantum computing rely on the "threshold theorem":
once the error per qubit per gate is below a certain value, the methods of
quantum error correction allow indefinitely long quantum computations. The
proof is based on a number of assumptions, which are supposed to be satisfied
exactly, like axioms, e.g. zero undesired interactions between qubits, etc.
However in the physical world no continuous quantity can be exactly zero, it
can only be more or less small. Thus the "error per qubit per gate" threshold
must be complemented by the required precision with which each assumption
should be fulfilled. This issue was never addressed. In the absence of this
crucial information, the prospects of scalable quantum computing remain
uncertain.Comment: 4 pages, title modifie
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