Former PQM MPhys student visiting PQM to share insights into her PhD project.
We are pleased to welcome back Naivasha Williams, formerly a PQM MPhys student, to report on her PhD research in Prof. Andrew Green’s group at the London Centre for Nanotechnology, UCL.
Naivasha will present her work on “Hermitian Matrix Product Operators on Quantum Computers”,
Abstract
A Hamiltonian is a sum of local terms which can be split up into a product of local terms called a Matrix Product Operator (MPO). In tensor network methods, MPOs allow for computation of local observables, which is particularly useful for algorithms like DMRG. Since most MPOs are nonunitary, current state-of-the-art methods favour block-encoding for implementation. However, utility is limited by circuit depth and ancilla overhead on current hardware. We propose a new, more hardware efficient implementation of Hermitian MPOs and show that both circuit width and depth are significantly reduced for the Transverse Field Ising Model.