Certifying the purity of quantum states with temporal correlations

Abstract

Correlations obtained from sequences of measurements have been employed to distinguish among different physical theories or to witness the dimension of a system. In this work we show that they can also be used to establish semi-device independent lower bounds on the purity of the initial quantum state or even on one of the post-measurement states. For single systems this provides information on the quality of the preparation procedures of pure states or the implementation of measurements with anticipated pure post-measurement states. For joint systems one can combine our bound with results from entanglement theory to infer an upper bound on the concurrence based on the temporal correlations observed on a subsystem.

arXiv comment10 pages, 2 figures

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Cited by in corpus (8)

• Semi-device-independent framework based on restricted distrust in prepare-and-measure experiments
• Leggett-Garg Macrorealism and temporal correlations
• Temporal correlations in the simplest measurement sequences
• Simulating extremal temporal correlations
• Ticking-clock performance enhanced by nonclassical temporal correlations
• Quantifying necessary quantum resources for nonlocality
• Optimisation of time-ordered processes in the finite and asymptotic regime
• Certifying Temporal Correlations