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Fundamental Differences of Quantum Computers
In the standard architecture of computer storage, values are arranged as a series of bits, each of which is either true or false(0 or 1). This fundamental restriction of two states is the most basic difference when working with quantum states. Rather than allowing just the two singles states, a superposition of the two states is also possible, forming a state that is neither 0 nor 1, but something in between with a probability of either state.
Further, in the standard organization, it is possible to attach various bits together to force correlations between their values. This is also possible within the superposition of the states represented in a quantum bit. (Qubit) The correlation between these superpositions in the two qubits is referred to as Entanglement.
With proper tying it is possible to evaluate the qubit as both one and zero at the same time, and do so across the entirety of the set of qubits at the same time, allowing for massively parallel evaluations of all possible sequences at the same time. Of course in the end there can only be a single full set for the stable state, but information can be gathered from each of the possibilities by its influence upon the whole system during each step of the evaluation.