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Center for Nonlinear Studies |
Randomized measurement protocols, including classical shadows, entanglement tomography, and randomized benchmarking are powerful techniques to estimate observables, perform state tomography, or extract the entanglement properties of quantum states. In this talk, I will discuss the role of symmetries in randomized measurement protocols with a particular focus on Z2 lattice gauge theory. I will start by describing past work constructing deep symmetry-respecting random circuits and a proposal for using them as a building block for detecting topological order in the context of Z2 lattice gauge theory. I will then describe ongoing work on a shallow scheme for symmetry respecting classical shadows for estimating expectation values of gauge invariant observables in Z2 lattice gauge theory. Based partly on Quantum 8, 1300 (2024).
Bio:
Jacob Bringewatt is a postdoctoral fellow at the Harvard Quantum Initiative. He works on a variety of topics relating to quantum information theory and computation. Some particular interests include quantum metrology, analog quantum computation, information geometry, quantum simulation, and the role of symmetries in metrology and quantum algorithms.
Jacob will be visiting LANL between Monday 3rd and Friday 7th. If you want to chat with Jake during his visit, please sign up here: https://docs.google.com/document/d/10ZsjRhwiK8P78JIo3xXAY8jAR-yD9vb6wQhoO9tvO4Q/edit
Host: Luis Pedro Garcia-Pintos (T-4)