31.   The power of the quantum computer, said Chuang, is that it can open all for doors and locate the ball in a single step.

32.   The sorting program they ran on their quantum computer is known as the Grover search algorithm.

33.   The structure of the quantum computer, he says, consists of many things going on at once, lots or parallel computations.

34.   There are still major hurdles to be overcome before quantum computers can be applied to general problems, Hughes said.

35.   Theoreticians have proved that a quantum computer, if one can be built, could solve problems now considered impossible.

36.   Theorists recently proved that by manipulating subatomic particles as though they were beads in an abacus, a quantum computer could in principle crack problems that now seem impenetrable.

37.   These researchers seem not to be disheartened by the many barriers to a desktop quantum computer.

38.   Thus a quantum computer could do many calculations simultaneously.

39.   Unlike quantum computers that calculate by measuring atomic spin, photon-based machines could exchange data using variations of fiber optics systems that power the Internet.

40.   Unlike quantum computers that calculate by measuring atomic spin, photon-based machines could exchange data using variations of fiber optics systems that now power the Internet.