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This quantum system must be able to program the equation into it, verify it's computation, and extract the results.
Several possible systems have been looked at by researchers, one of which involves using electrons, atoms, or ions trapped inside of magnetic fields, intersecting lasers would then be used to excite the confined particles to the right wavelength and a second time to restore the particles to their ground state...
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A sequence of pulses could be used to array the particles into a pattern usuable in our system of equations. Another possibility by Seth Lloyd of MIT proposed using organic-metallic polymers (one dimensional molecules made of repeating atoms). The energy states of a given atom would be determined by it's interation with neighboring atoms in the chain...
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