Home.

The home page concentrates on registers with three qubits because three is the smallest number that will give clear results, for two reasons: (a) 3 is relatively prime to 23 = 8, so the student will not falsely partition the states among the component qubits, and (b) 3 is large enough to allow successive nontrivial partial measurements on a qureg.

Here are again the generative ratios for the three-qubit register:

With two qubits, the generative ratios shrink to:

With only one qubit, the ratios degenerate, and the entanglement is zero.

In the four-qubit case, there will be four eight-member equations — incorporated whole are the three-qubit ratios, here in boldface:


Quantum digits need not be binary; they can for instance be ternary — then we have qutrits. Here is for example a two-qutrit register:

StateAmplitudeProbability
│000 ⟩−0.05931 + 0.34072i0.11961
│001 ⟩+0.20682 + 0.24024i0.10049
│002 ⟩−0.09873 − 0.02121i0.01020
│010 ⟩−0.30612 − 0.30631i0.18753
│011 ⟩+0.42147 + 0.17293i0.20755
│012 ⟩−0.23422 + 0.37470i0.19526
│020 ⟩−0.01559 − 0.02411i0.00082
│021 ⟩+0.23885 + 0.30264i0.14864
│022 ⟩−0.00347 − 0.17289i0.02990

The generative ratios are:

One can even mix radices. The next example shows a register of one qubit and one qutrit:

StateAmplitudeProbability
│00 ⟩−0.18028 + 0.29657i0.12045
│01 ⟩+0.25434 − 0.40179i0.22612
│02 ⟩−0.36540 − 0.22754i0.18529
│10 ⟩+0.03971 + 0.28238i0.08132
│11 ⟩−0.17964 − 0.30279i0.12395
│12 ⟩+0.39310 + 0.32914i0.26286

The generative ratios are: