Title：Triplet Measurement uncertainty relation

Speaker:  Sixia Yu (郁司夏), USTC

Abstract: In quantum world there are incompatible physical properties that cannot be measured in a single apparatus. Any effort to jointly measure incompatible observables will inevitably bring in errors. With suitable quantifications, the trade-offs among these errors are measurement uncertainty relations (MUR). In this talk I will at first demonstrate an elegant MUR (introduced by Qin, Fei, etal) for three observables of a qubit and present the precise conditions under which the triplet MUR is attained, together with the optimal joint measurement. And then for the general case we design an SDP protocol to numerically calculate the best lower bound for the MUR. Third, the MUR and corresponding optimal joint measurement turns out to share the same symmetry as the target observables and thus in some (rare) cases MUR can be found analytically. Fourth, for the sake of experimental realization we propose a direct implementation of optimal joint measurements. Last, we also explore the relation between the joint and sequential measurement and the numerical evidences so far show that optimal joint measurement for triplet MUR can also be implemented sequentially.

This is a joint work of theory and experiment with JF’s group (SUST)

arXiv:2211.09816:  Measurement uncertainty relation for three observables

arXiv:2211.09389: Testing Heisenberg's measurement uncertainty relation of three observables

报告时间：2023年6月16日（星期五），15:30-16:30

报告地点:腾讯会议  629-774-531（会议密码：0616）

联系人：秦慧慧