Authors: Masataka Ohta
QEC (Quantum Error Correction) assumes that qubit states are disturbed by errors primarily through interactions with their local environment states. The problem is that, when quantum states are superpositioned, QEC improperly assumes all the superpositioned terms share same local environment states and resulting errors though they are, in general, different term by term to which QEC with the fixed number of syndrome qubits is, except for some slightly superpositioned states such as two terms ones, not applicable. Further, fundamental difficulty to scale quantum parallelism regardless of implementation and physical details is derived from theory of Shannon.
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[v1] 2021-05-13 08:49:06
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