PIRSA:24030106

The Shadow of Real Quantum Theory

APA

Wilce, A. (2024). The Shadow of Real Quantum Theory. Perimeter Institute for Theoretical Physics. https://pirsa.org/24030106

MLA

Wilce, Alexander. The Shadow of Real Quantum Theory. Perimeter Institute for Theoretical Physics, Mar. 07, 2024, https://pirsa.org/24030106

BibTex

          @misc{ scivideos_PIRSA:24030106,
            doi = {10.48660/24030106},
            url = {https://pirsa.org/24030106},
            author = {Wilce, Alexander},
            keywords = {Quantum Foundations},
            language = {en},
            title = {The Shadow of Real Quantum Theory},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {mar},
            note = {PIRSA:24030106 see, \url{https://scivideos.org/index.php/pirsa/24030106}}
          }
          

Alexander Wilce Susquehanna University

Talk numberPIRSA:24030106
Source RepositoryPIRSA
Collection

Abstract

Local tomography (or tomographic locality) is the principle that the state of a composite systems is determined by the probabilities it assigns to outcomes of experiments performed separately on the component systems. It's well known that complex quantum theory enjoys, and real quantum theory lacks, this feature. This means that a composite of two real quantum systems has additional "global" degrees of freedom. What if we could simply factor these out? In this talk, I'll describe how this can be done, not only for real quantum theory, but for essentially any probabilistic theory. The result is a locally tomographic theory we call the "locally tomographic shadow" of the original. I will also discuss what this shadow theory looks like in the case of real quantum theory. (This is joint work with Howard Barnum and Matthew Graydon).

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