April 20, 2017

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For example, in the classic "artificial ant" problem (Koza, 1992) the terminals (LEFT, RIGHT, and MOVE) are interpreted as commands to a simulated ant moving on a grid containing simulated food. They return no values, and the functions that can appear as the first items of parenthesized expressions "expect" no arguments; they merely serve to sequence the calls to the side-effecting terminals (in some cases conditionally). The essential feature of this program representation with respect to genetic programming is syntactic uniformity — any sub-program can be substituted for any other sub-program within any program, and the result will necessarily be syntactically well formed.

8) would produce completely random results; the "decoding" steps in the remainder of the algorithm are necessary to extract the correct answer. 13). 3. All qubits are in the 0 state. 5. A cube diagram of the second state in the execution of Grover's algorithm, after the application of a HADAMARD gate to qubit 2. 34 AUTOMATIC QUANTUM COMPUTER PROGRAMMINC Jf- 7? 6. A cube diagram of the third state in the execution of Grover's algorithm, after the apphcation of a HADAMARD gate to qubit 1. 1. A cube diagram of the fourth state in the execution of Grover's algorithm, after the application of a U-THETA gate to qubit 0.

1 a (* (* ( - 0 . 1 0 . 1 0 . 1 ) ) ) X) (+ X (+ ( - X 0 . 1 ) (* X X ) ) ) ) ) (+ 0 . 1 (+ 0 . 4. Although this program is large, some of the code t h a t it contains is "junk" because, for example, it produces a result t h a t is later multiplied by zero. Issues related to such non-functional code and its possible contributions to code "bloat" and evolutionary progress have been discussed extensively in the literature; see for example (Luke, 2000). 5), in the following form: ( - ( - (* X (* X X)) 0 .

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