# Commuting operations factorise

### APA

Renner, R. (2023). Commuting operations factorise. Perimeter Institute. https://pirsa.org/23090057

### MLA

Renner, Renato. Commuting operations factorise. Perimeter Institute, Sep. 14, 2023, https://pirsa.org/23090057

### BibTex

@misc{ pirsa_PIRSA:23090057, doi = {10.48660/23090057}, url = {https://pirsa.org/23090057}, author = {Renner, Renato}, keywords = {Quantum Foundations}, language = {en}, title = {Commuting operations factorise}, publisher = {Perimeter Institute}, year = {2023}, month = {sep}, note = {PIRSA:23090057 see, \url{https://pirsa.org}} }

Renato Renner ETH Zurich

## Abstract

Tsirelson’s problem involves two agents, Alice and Bob, who apply measurements on the same quantum system, K. It asks whether commutation, i.e., independence of whether Alice or Bob measures first, is sufficient to conclude that Alice and Bob’s measurements can be factorised so that they act non-trivially only on distinct subsystems of K. In this talk, I will present a “fully quantum generalisation” of this problem, where Alice and Bob’s measurements are replaced by operations on K that may depend on additional quantum inputs and produce quantum outputs. As for Tsirelson’s original problem, it turns out that commutation indeed implies factorisation, provided that all relevant systems are finite-dimensional.

This is joint work with Ramona Wolf; preprint available at arXiv:2308.05792.

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