| Spector, L., Barnum, H., Berstein, J. and Swamy N. Quantum Computing Applications of Genetic Programming. In Advances in Genetic Programming, Vol. 3, (1999), pp. 135-160. |
.... Patent 1 Creation, using genetic programming, of a better than classical quantum algorithm for the Deutsch Jozsa early promise problem B, F [ZZZ965] 2 Creation, using genetic programming, of a better than classical quantum algorithm for the Grover s database search problem B, F [ZZZ966] 3 Creation, using genetic programming, of a quantum algorithm for the depth 2 AND OR query problem that is better than any previously published result B, D [ZZZ967] 4 Creation of soccer playing program that ranked 18th in a field of 34 humanwritten programs in the Robo Cup 1998 ....
. 1999. Advances in Genetic Programming 3. Cambridge, MA: The MIT Press. Pages 135-160.
....30: GP K h k 8 .7k2L NNc J#1 K HV9f 8 . vNc K 94p= 29MJ88 ;29MFC5v 1 Deutsch Jozsa N early premise LdBj KBP 9 k8EE5E JNL;R k 4 j : 0J e N2r N 8 . # B,F [Spector et al..98] 2 Grover N G Y 9 5 ALdBj KBP 9 k8EE5E JNL;R k 4 j : 0J e N2r N 8 . # B,F [Spector et al..99] 3 5#2 NAND OR ALd 9 KBP 9 k= MhH I= 5 l F k .2L0J e N2r N 8 . # B,D [Spector et al..99] 4 m C W1998 K 1 k 5 C W m 0 i J34 A Cf 18 0L K # H [Andersson et al..99] 5 H F)2aKlF1DjLdBj X N#4 D N k 4 j : N 8 . # B,E [Koza et al..99] 6 7 ....
.... N early premise LdBj KBP 9 k8EE5E JNL;R k 4 j : 0J e N2r N 8 . # B,F [Spector et al..98] 2 Grover N G Y 9 5 ALdBj KBP 9 k8EE5E JNL;R k 4 j : 0J e N2r N 8 . # B,F [Spector et al..99] 3 5#2 NAND OR ALd 9 KBP 9 k= MhH I= 5 l F k .2L0J e N2r N 8 . # B,D [Spector et al..99] 4 m C W1998 K 1 k 5 C W m 0 i J34 A Cf 18 0L K # H [Andersson et al..99] 5 H F)2aKlF1DjLdBj X N#4 D N k 4 j : N 8 . # B,E [Koza et al..99] 6 7 9 L N = F # s 0 M C H o r 16 9 F C W N G A,D [O Connor et al..62] Koza et al..99] 7 ....
Spector,L., Barnum,H., and Bernstein,H.J., Quantum computing applications of genetic programming, in Advances in Genetic Programming 3, Spector, Lee, Langdon, William B., O'Reilly, Una-May, and Angeline, Peter (editors), MIT Press, Chapter 6, pages 135 - 160, 1999
....an m element column vector, and that the above matrices can therefore not in general be directly applied to the 2 n element amplitude vectors that characterize the states of an n qubit quantum computer. A detailed description of how these gates are applied to multi qubit systems can be found in [17]. 1 Note that this is a different form of CPHASE than was used in our previous work [16, 17] To appear in Proceedings of the 1999 Congress on Evolutionary Computation 3 An ORACLE gate is a permutation matrix that computes a Boolean function that may change from instance to instance of a given ....
....applied to the 2 n element amplitude vectors that characterize the states of an n qubit quantum computer. A detailed description of how these gates are applied to multi qubit systems can be found in [17] 1 Note that this is a different form of CPHASE than was used in our previous work [16, 17]. To appear in Proceedings of the 1999 Congress on Evolutionary Computation 3 An ORACLE gate is a permutation matrix that computes a Boolean function that may change from instance to instance of a given problem. This is useful because many existing quantum algorithms solve tasks that involve ....
[Article contains additional citation context not shown here]
L. Spector, H. Barnum, H. J. Bernstein, and N. Swamy, "Quantum computing applications of genetic programming," in Advances in Genetic Programming 3, Lee Spector, W. B. Langdon, Una-May OReilly, and Peter J. Angeline, Eds., pp. 135-- 160. MIT Press, 1999.
....given classical state if we measure it. In accordance with quantum mechanics the probability is determined by squaring the absolute value of the amplitude. Quantum gates are implemented as matrices that are multiplied by the vector of probability amplitudes for the entire quantum system; see [15, 16] for details. QGAME also allows one to measure the value of a qubit and to branch to different code segments depending on the measurement result. Such measurements necessarily collapse the superposition of the measured qubit. QGAME always follows both branches, collapsing the superpositions ....
L. Spector, H. Barnum, H. J. Bernstein, and N. Swamy, "Quantum computing applications of genetic programming," in Advances in Genetic Programming 3, Spector, Langdon, O'Reilly, and Angeline, Eds., pp. 135--160. MIT Press, 1999.
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Spector, L., Barnum, H., Berstein, J. and Swamy N. Quantum Computing Applications of Genetic Programming. In Advances in Genetic Programming, Vol. 3, (1999), pp. 135-160.
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