Speaker: Diyi Liu (Lawrence Berkeley National Lab)
Title: Block Encoding with gate count for Second Quantized Hamiltonian
Abstract: The success of many quantum simulation algorithms depends on the construction of efficient quantum circuits that can be implemented on a quantum computer to realize the effect of a many-body Hamiltonian on a properly prepared quantum state. These circuit constructions often rely on oracles that encode the Hamiltonian as a sequence of unitary transformations in some way. Such oracles form what is called the input model, which can generally be separated into two parts: a prepare oracle and a select oracle. One particular strategy for implementing a physical Hamiltonian on a quantum computer is known as block encoding, where the Hamiltonian is embedded into a larger unitary matrix. We present an efficient block encoding scheme for a second quantized Hamiltonian and introduce the latest progress of the field.
About: Weekly seminar of the Quantum Working Group, covering topics in quantum information theory and operator algebras. Contact Marius Junge (mjunge@illinois.edu), Felix Leditzky (leditzky@illinois.edu), or Amanda Young (ayoung86@illinois.edu) with questions or inquiries.