Quantum Computing, Quantum Teleportation and Time Crystals

Quantum Computing is parallel computing and is nonlocal in nature. Geometry, physics, and computing are triangularly interrelated. There exist four new fundamental nonlocal operator-state relations for an entangled atomic chain. Computation states are then cyclic. There exists a minimum focus distance for the entanglement between two atoms. Any addition of four times of that focus distance provides the foundation for quantum teleportation in a piece-wise Euclidean chain. Time crystals are the direct computation results that an entangled atomic chain is capable of computing. There are four interacting planar time crystals with the same Poincare cycle, but only half of them are observable as we predict, and quantum computing is irreversible. When the geometry changes, there exist “spherical time crystals” from the rotational symmetry breaking. Thus, we predict that “time” can be “curved” in Fourier space, the space we observe all the computation results. In a long chain, it is possible to have “birth-and-death” of time crystals elsewhere in the chain. Sierpinski triangle with self-similar features provides the foundation for true artificial intelligence and the larger-scale operator-state relations to emerge.

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