Abstract

Digital computers can perform fast sequential operations. After bit operations, a definite sequence of zeros or ones is obtained, which is similar to the use of an electronic mechanism to quickly operate a huge abacus. The bit of a digital computer is in a definite state of zero or one, but actual physics is continuous. There exists a significant deficiency in using digital Turing machines to describe the physical world. On the other hand, quantum physics happens to be discontinuous, and, thus, quantum Turing machines are truly compatible with problems in the quantum world.

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