6. Applications Simulation

Materialscience — Quiz

Test your understanding of materialscience with 5 practice questions.

Practice Questions

Question 1

What material science model is frequently used as a benchmark for many-body electron correlation simulations on quantum computers?

Question 2

For a one-dimensional Fermi-Hubbard chain with $L$ lattice sites and two spin states per site, how many qubits are required under the Jordan–Wigner mapping?

Question 3

In VQE for a material Hamiltonian $H=1.2\sum_{i=0}^{2}Z_iZ_{i+1}+0.3\sum_{i=0}^{3}X_i$, how many distinct measurement circuits are needed when grouping commuting terms?

Question 4

What is the main advantage of the Bravyi–Kitaev transformation compared to Jordan–Wigner when mapping fermionic operators to qubits for material simulations?

Question 5

Under fermion-to-qubit mappings, the on-site interaction term $U\,n_{i\uparrow}n_{i\downarrow}$ in the Hubbard model maps to Pauli terms composed of which operators?