Afterwards, in the next decade, the concept has drawn an increased level of interest due to the
Shor's algorithm, which, if it had been put into practice using a quantum computing machine, it would have risked decrypting classified data due to the exponential computational speedup potential offered by quantum computing [1].
Quantum computer can break RSA using
Shor's algorithm.
The computer uses laser pulses to carry out
Shor's algorithm on each atom, to correctly factor the number 15.
The algorithm has no practical application, but Tame says the work is a step toward implementing quantum software such as
Shor's algorithm (SN Online: 4/10/14), which has implications for data encryption.
Shor's Algorithm with a quantum computer, however, uses exotic-sounding math -- Hadamard and Quantum Fourier Transformations -- to quickly discover the probabilities of various number pairs being the factors or keys.
Without them, one can reduce the [FP.sup.G.sub.g,h] problem to the DLP problems over the cyclic groups <g> and <h>, which are quantumly tractable by using
Shor's algorithm [31].
On the theoretical side, we have, as an outgrowth of Bell's theorem, the constantly improving classification of entangled states, and the development of measures of entropy and information content of such states; GHZ states,
Shor's algorithm, various sorting techniques, and error-correcting codes.
This idea is exploited in
Shor's algorithm, which uses a quantum Fourier transformation to obtain the period of f.