D_J Algorithm

 The Deutsch-Jozsa algorithm seeks to create an appreciation of how supersposition

results in at-a-glance results in the case of an oracle ie a simple binary function that

outputs 0 or 1. One is trying to see if the function is constant or balanced, outputting

either always the same output be it 0 or 1, or an equal number of each.

Crucial here, is the notion of register: a group of one or more qubits is a register. We

will need two registers, the second having only 1 qubit.

https://sl.bing.net/b0O6qhH6Zye

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A constant oracle can be created with a simple two one-qubit registers. If the function

inputs 0, one adds the identity gate to register 2. If it inputs 1, one adds aan X gate.

                                                            

We're seeing 0 in the second register in all cases.

For a balanced output, ta CNOT gate with the last qubit as target will work:

                                                              

                                      

                                                                              

For example:

The fully elaborated model for a balanced outcome: