Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session Y27: Quantum Foundations III
11:15 AM–2:15 PM,
Friday, March 8, 2019
BCEC Room: 160C
Sponsoring Unit: DQI
Chair: John DeBrota, University of Massachusetts Boston
Abstract: Y27.00001 : Reconstructing quantum space-time from agents' subjective experiences*
11:15 AM–11:51 AM
Lidia del Rio
Lidia del Rio
For example, in quantum theory, the tensor product rule allows us to describe independent systems jointly, and imposes a notion of locality of actions. However, if one is given a global system, there is no prior reason for considering some factorization of the system's state space as `the only physical one.' Thus, if multiple agents observe the same system, their individual factorizations of the state space do not necessarily coincide, but can be related by an isomorphism. We may then explore how a group of agents could find out the relation between their individual factorizations of a global space, given only the operational experimental data for each agent, together with communication, under different constraints.
This factorization problem is a generalization of the marginal problem and of self-testing, both of which assume a fixed tensor factorization behind the different local descriptions. It can be applied to derive conditions for a common space coordinate set shared by a group of agents, and as such it is a first step towards operational quantum relativistic theories.
*FQXi Large Grant "Physics of the Observer"
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