By Lee Spector
Automatic Quantum laptop Programming offers an creation to quantum computing for non-physicists, in addition to an advent to genetic programming for non-computer-scientists. The booklet explores numerous ways that genetic programming can aid automated quantum computing device programming and provides unique descriptions of particular recommendations, in addition to numerous examples in their human-competitive functionality on particular difficulties. resource code for the author’s QGAME quantum laptop simulator is integrated as an appendix, and tips that could extra on-line assets provide the reader with an array of instruments for automated quantum computing device programming.
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Extra resources for Automatic Quantum Computer Programming: A Genetic Programming Approach
A labeled box is superimposed on a line to represent the application of a single-qubit gate, and boxes or other symbols that span multiple lines are used to represent multi-qubit gates. Our particular diagraming conventions will be made clear in the context of examples. Gate array diagrams can be helpful, but they can also be deceptive, particularly if one is accustomed to classical circuit or flow diagrams. For example, one must bear in mind that qubits can be entangled, and that gates are really applied not to independent “wires,” as implied by the horizontal lines, but rather to amplitudes that are shared among all qubits.
The details of this “selection, variation, assessment” loop, and of the representations and algorithms used within it, vary among different forms of genetic and evolutionary computation. For example, in some (“generational”) methods the entire population is assessed first and is then subjected to distinct population-wide selection and variation procedures. In other (“steady state”) methods single individuals or small groups of individuals are progressed through the entire loop independently. Selection may be based on virtual roulette wheels or on tournaments or on other abstractions.
Rather, one must do something that affects all amplitudes in the system, effectively multiplying it by the following 8 × 8 matrix: In this case the expansion of the 2 × 2 matrix to produce the 8 × 8 appears relatively straightforward, but the process is more confusing when one must expand a multi-qubit gate, particularly when the qubits to which it is being applied are not adjacent in the chosen representation. For example if one wishes to apply a CNOT gate in a 3-qubit system, using the right-most qubit as the “control” input and the left-most qubit as the “target” (the one that is flipped when the control qubit is 1), then one must effectively use the following 8 × 8 matrix: 20 AUTOMATIC QUANTUM COMPUTER PROGRAMMING How does one construct the needed matrix expansion?