Quantum 2025 – scientific programme
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THU: Thursday Contributed Sessions
THU 13: Poster Session: Applications
THU 13.17: Poster
Thursday, September 11, 2025, 16:30–18:30, ZHG Foyer 1. OG
Semi-device-independently characterizing quantum temporal correlations — •Shin-Liang Chen1 and Jens Eisert2 — 1National Chung Hsing University, Taichung, Taiwan — 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Berlin, Germany
We propose a general framework for analyzing quantum temporal correlations in scenarios where an initial quantum state undergoes a first measurement, evolves through a quantum channel, and is subsequently measured again. This approach is fully device-independent, meaning it does not rely on any assumptions about the internal workings of the systems or measurements involved. Nonetheless, it is flexible enough to accommodate additional constraints under semi-device-independent assumptions. Our framework provides a natural method for quantum certification in temporal settings involving uncharacterized or partially characterized devices. It also supports the analysis of quantum temporal correlations under specific assumptions, such as time no-signalling, system dimension bounds, rank restrictions - under which we demonstrate genuine quantum advantages over local hidden variable models - or other linear constraints. We illustrate the utility of the framework through various applications, including establishing bounds on the maximal violation of temporal Bell inequalities, measuring temporal steerability, and evaluating the highest success probabilities in quantum randomness access codes.
Keywords: device-independence; quantum temporal correlations; quantum instruments; semidefinite relaxation for quantum correlations