At a certain moment in time, the binary values of the n bits corresponding to a

classical computer define a certain state for it, while in the case of a quantum computer, at a certain moment in time, a number of n qubits have the possibility to define all the

classical computer's states, therefore covering an exponential increased computational volume.

A quantum computer can solve these and other specialized problems far more efficiently than a

classical computer. In fact, a quantum computer can solve some problems that, in principle, the

classical computer could never solve, or at least never solve in a reasonable amount of time.

"We're talking about encrypting data so it can't be broken, certainly not by a

classical computer," said Tony Trippe, managing director of Dublin, Ohio-based Patinformatics.

"On a

classical computer they would take the life of the universe to solve."

Just as engineers figured out how to shrink the size of transistors and pack them more closely together on a

classical computer chip, they'll need some clever innovation to build the fastest possible quantum systems, operating as close as possible to the ultimate speed limit.

problems that are beyond the capabilities of a

classical computer.

In a

classical computer, computations are done by using a combination of ones and zeros called bits.

"By exploiting algorithms written for quantum computing, we can do stuffs that a

classical computer can.

This is followed by a simulation of the algorithm using a

classical computer, namely through functions that are present in MA TLAB, referred to as "Quantum Computing Functions".

with a quantum computer, where we can easily verify with a

classical computer that the quantum computer got the right answer."

The first volume began with basic programming ideas, the second offered a complete introduction to seminumerical algorithms, the third offered a survey of

classical computer techniques for sorting, and this focuses on combinatorial algorithms, introducing techniques that allow computers to handle large problems.

However, in the NMR research, the same number of calculation steps as in a

classical computer was required to make it seem as if seven quantum bits in molecules were aligned, and entanglement was not obtained either.