An Efficient Block Encoding Quantum Circuit for a Pairing Hamiltonian - IPAM at UCLA

Explore an advanced lecture on quantum computing and scientific algorithms presented at IPAM's Quantum Algorithms for Scientific Computation Workshop. Delve into the construction of an efficient block encoding quantum circuit for a pairing Hamiltonian, a simplified model used to study nuclear structures. Discover the systematic approach to building this circuit, including the strategic use of ancilla qubits and the structuring of the circuit to account for all Hamiltonian terms. Examine the potential extension of this block encoding scheme to more general Fermionic two-body Hamiltonians without relying on Jordan-Wigner transformation or linear combination of unitaries. Gain insights from Lawrence Berkeley National Laboratory researcher Chao Yang in this 40-minute presentation that pushes the boundaries of quantum algorithms for scientific applications.