Semi-device-independently characterizing quantum temporal correlations
arXiv:2305.19548 · doi:10.1103/PhysRevLett.132.220201
Abstract
We develop a framework for characterizing quantum temporal correlations in a general temporal scenario, in which an initial quantum state is measured, sent through a quantum channel, and finally measured again. This framework does not make any assumptions on the system nor on the measurements, namely, it is device-independent. It is versatile enough, however, to allow for the addition of further constraints in a semi-device-independent setting. Our framework serves as a natural tool for quantum certification in a temporal scenario when the quantum devices involved are uncharacterized or partially characterized. It can hence also be used for characterizing quantum temporal correlations when one assumes an additional constraint of no-signalling in time, there are upper bounds on the involved systems' dimensions, rank constraints -- for which we prove genuine quantum separations over local hidden variable models -- or further linear constraints. We present a number of applications, including bounding the maximal violation of temporal Bell inequalities, quantifying temporal steerability, bounding the maximum successful probability in quantum randomness access codes.
13 pages, 4 figures, tiny changes, references added, published version
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- Dynamical Landauer Principle: Quantifying Information Transmission by Thermodynamics
- Certifying Quantum Temporal Correlation via Randomized Measurements: Theory and Experiment
- Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information
- Certifying Temporal Correlations
- Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints
- Investigating an approach of robustly self-testing two-qubit entangled states