Observation of Full Hierarchy of Temporal Quantum Correlations with a Superconducting Qubit
Hao-Cheng Weng, Chen-Yeh Wei, Huan-Yu Ku, Shin-Liang Chen, Yueh-Nan Chen, and Chih-Sung Chuu

TL;DR
This paper demonstrates the full hierarchy of temporal quantum correlations in a superconducting qubit, revealing complex dynamics like sudden death and revival, and applies these findings to benchmark qubits and analyze non-Markovianity.
Contribution
It experimentally observes the complete hierarchy of temporal quantum correlations in a superconducting qubit, highlighting their dynamic behavior and potential applications in quantum network analysis.
Findings
Observation of the full hierarchy of temporal quantum correlations.
Identification of sudden death and revival phenomena in temporal steering.
Application of correlations to benchmark qubit performance and non-Markovianity detection.
Abstract
Temporal quantum correlations provide an intriguing way of testing quantumness at the macroscopic level, with a logical hierarchy present among the quantum correlations associated with nonmacrorealism, temporal steering, and temporal inseparability. By manipulating the dynamics of a superconducting qubit, we observe the full hierarchy of temporal quantum correlations. Moreover, we show that the rich dynamics of the temporal quantum correlations, such as sudden death or revival of temporal steering, provides a useful and unique measure for benchmarking qubits on a realistic circuit. Our work finds applications in identifying the casual structure in a quantum network, the non-Markovianity of open quantum systems, and the security bounds of quantum key distribution. As an example, we demonstrate the non-Markovianity of a single superconducting qubit on the quantum circuit.
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