Time in a Box

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Title of the project: Temporal correlations under finite-memory constraints
Name of the VDSP student(s) & image credits: Lucas Vieira
Project supervised by: Costantino Budroni, Časlav Brukner

 

About me/us: Lucas Vieira is a PhD student at the Young Independent Researcher Group (YIRG) based at the Institute for Quantum Optics and Quantum Information (IQOQI-Vienna).
His PhD project focuses on temporal correlations, exploring their fundamental bounds in classical or quantum systems under finite memory constraints. By combining physics foundations, quantum information, and theoretical computer science, this multidisciplinary project seeks to enhance our understanding of how causality and memory resources constrain observations and information-processing tasks within our physical theories.

Image: You are given a box with measure and reset buttons. Measurement outcomes (0/1) are displayed on a screen. You can reset or measure as you wish, collecting statistics on the binary sequences generated. What can you say about the inner-workings of the box? What is the minimum number of distinct states within it? Does it operate classically or quantummechanically?

My research investigates the role of "memory", as quantified by physical dimension, in generating temporal correlations, like in the previous scenario. Despite it's remarkable simplicity, it is rich in structure, and highlights deep connections between causality, information processing, and computer science within our physical theories. This conceptual 3D render artistically celebrates the complexity and depth that such a modest thought experiment can bring forth. Reference: L.B. Vieira and C. Budroni, Quantum 6, 623 (2022)