Neural-Shadow Quantum State Tomography

APA

Wei, V. (2023). Neural-Shadow Quantum State Tomography. Perimeter Institute for Theoretical Physics. https://pirsa.org/23110056

MLA

Wei, Victor. Neural-Shadow Quantum State Tomography. Perimeter Institute for Theoretical Physics, Nov. 10, 2023, https://pirsa.org/23110056

BibTex

          @misc{ scivideos_PIRSA:23110056,
            doi = {10.48660/23110056},
            url = {https://pirsa.org/23110056},
            author = {Wei, Victor},
            keywords = {Other Physics},
            language = {en},
            title = {Neural-Shadow Quantum State Tomography},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {nov},
            note = {PIRSA:23110056 see, \url{https://scivideos.org/pirsa/23110056}}
          }
          

Victor Wei University of Waterloo

Source Repository PIRSA
Talk Type Scientific Series
Subject

Abstract

Quantum state tomography (QST) is the art of reconstructing an unknown quantum state through measurements. It is a key primitive for developing quantum technologies. Neural network quantum state tomography (NNQST), which aims to reconstruct the quantum state via a neural network ansatz, is often implemented via a basis-dependent cross-entropy loss function. State-of-the-art implementations of NNQST are often restricted to characterizing a particular subclass of states, to avoid an exponential growth in the number of required measurement settings. In this talk, I will discuss an alternative neural-network-based QST protocol that uses shadow-estimated infidelity as the loss function, named “neural-shadow quantum state tomography” (NSQST). After introducing NNQST and the classical shadow formalism, I will present numerical results on the advantage of NSQST over NNQST at learning the relative phases, NSQST’s noise robustness, and NSQST’s advantage over direct shadow estimation. I will also briefly discuss the future prospects of the protocol with different variational ansatz and randomized measurements, as well as its experimental feasibility.

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Zoom link https://pitp.zoom.us/j/94167105773?pwd=TXR3TUtwNjV4VFB4SEpvTkhqd29SUT09