To be expanded…
For now, see pictures in arXiv:1112.3560 and in the Mathematica notebook.

Pauli correlations


  • Heisenberg hamiltonian ground state.
  • A separable state with Bloch sphere coordinates $(\frac{1}{\sqrt{2}},0,-\frac{1}{\sqrt{2}})$.
  • A product of three two-qubit singlet states.

ITF model

Ground states of the Hamiltonian

\begin{align} H = \cos(\alpha) \sum_{i} \sigma_{i}^{z} \sigma_{i+1}^{z}+ \sin(\alpha) \sum_{i} \sigma_{i}^{x} \end{align}

for $\alpha \in \{0, \frac{1}{8} \pi, \frac{1}{4} \pi, \frac{3}{8} \pi, \frac{1}{2} \pi \}$.

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