A General Introduction to Quantum Tomography -- and a Specialized Report on Property Testing Under Clifford Symmetry

APA

(2020). A General Introduction to Quantum Tomography -- and a Specialized Report on Property Testing Under Clifford Symmetry. The Simons Institute for the Theory of Computing. https://simons.berkeley.edu/talks/tbd-148

MLA

A General Introduction to Quantum Tomography -- and a Specialized Report on Property Testing Under Clifford Symmetry. The Simons Institute for the Theory of Computing, Mar. 30, 2020, https://simons.berkeley.edu/talks/tbd-148

BibTex

          @misc{ scivideos_15598,
            doi = {},
            url = {https://simons.berkeley.edu/talks/tbd-148},
            author = {},
            keywords = {},
            language = {en},
            title = {A General Introduction to Quantum Tomography -- and a Specialized Report on Property Testing Under Clifford Symmetry},
            publisher = {The Simons Institute for the Theory of Computing},
            year = {2020},
            month = {mar},
            note = {15598 see, \url{https://scivideos.org/Simons-Institute/15598}}
          }
          
David Gross (University of Cologne)
Source Repository Simons Institute

Abstract

My talk has two purposes. First, I will review the problems quantum tomography is designed to solve, its relation to other verification protocols, and the tools that have been proposed for this task. In a completely independent second part, I will report on recent work (around [arXiv:1712.08628]) on the representation theory of the Clifford group and its applications to property testing. In particular, I'll explain how "stabilizerness" and "Cliffordness" are properties of pure states and unitaries that can be tested from a system-size independent number of copies.