Tensor Products in Quantum Information Science

Photograph by the author in Cheekwood Mansion, Nashville

Before proceeding, I recommend reviewing previous articles whose links I have added at the end.

Tensor Product Space

If two systems 𝓗1 and 𝓗2 can lead to a combined system composed of these two systems, they are called a composite system. If the individual system could be described by the orthonormal basis {u_i} and {v_i}, (i is the index)…