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caleb-johnson committed Sep 10, 2024
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"source": [
"We will use the [ffsim](https://github.com/qiskit-community/ffsim/tree/main) package to create and initialize the ansatz with `t2` and `t1` amplitudes computed above. Since our molecule has a closed-shell Hartree-Fock state, we will use the spin-balanced variant of the UCJ ansatz, [UCJOpSpinBalanced](https://qiskit-community.github.io/ffsim/api/ffsim.html#ffsim.UCJOpSpinBalanced).\n",
"\n",
"As our target IBM hardware has a heavy-hex topology, we will adopt the _zig-zag_ pattern used in [this paper](https://pubs.rsc.org/en/content/articlelanding/2023/sc/d3sc02516k) for qubit interactions. In this pattern, orbitals (represented by qubits) with the same spin are connected with a line topology (red and blue circles) where each line take a zig-zag shape due the heavy-hex connectivity of the target hardware. Again, due to the heavy-hex topology, orbitals for different spins have connections between every 4th orbital (0, 4, 8, etc.) (purple circles).\n",
"As our target IBM hardware has a heavy-hex topology, we will adopt the _zig-zag_ pattern used in [Motta et al., 2023](https://pubs.rsc.org/en/content/articlelanding/2023/sc/d3sc02516k) for qubit interactions. In this pattern, orbitals (represented by qubits) with the same spin are connected with a line topology (red and blue circles) where each line take a zig-zag shape due the heavy-hex connectivity of the target hardware. Again, due to the heavy-hex topology, orbitals for different spins have connections between every 4th orbital (0, 4, 8, etc.) (purple circles).\n",
"\n",
"![lucj_ansatz](../_static/images/lucj_ansatz_zig_zag_pattern.jpg)"
]
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