Quantum Simulation of Relativistic Electronic Structure Hamiltonians
summary
Claims an explicit construction showing relativistic electronic-structure Hamiltonians (Dirac + effective QED terms) are efficiently simulatable in polynomial time with polynomial gate complexity on a quantum computer. The approach handles non–particle-number-conserving terms by adding a positron field, compiles the Hamiltonian for a second-order Trotter-Suzuki propagator and uses quantum phase estimation. Numerics currently only test a relativistic electron gas (no nuclear centers); proofs include nuclei. Paper is on preprint.
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chapters (5)
- 0:00Intro
- 0:50What is quantum chemistry?
- 3:42Relativistic Quantum Chemistry
- 6:13Overview of Results
- 7:15Future Work / Personal Interests
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