General Measurements with Limited Resources and Their Application to Quantum Unambiguous State Discrimination



Slovak Academy of Sciences

May 20, 2021 3:15 PM


When performing tasks on current noisy quantum devices, one is bound to do compromises and to take into account the resources at hand. In this talk, we consider the implementation of an arbitrary (generalized) n-outcome quantum measurement, which, in general, requires ancillary qubits. If the number of qubits is limited, one can employ different strategies. One such strategy is to reduce the number of ancillary qubits to zero. This approach requires postselection of results. In our result, we show that adding a single qubit elevates the requirement on post-selection. The presented framework offers particular construction for two-outcome partial measurements. Utilization of the framework repeatedly leads to performing the desired measurement. The framework thus exchanges physical resources for time resources. We exemplify this framework on the unambiguous state discrimination. In the simplest case, it gives the same construction as is generally known, if we opt for performing conclusiveness measurement first. However, it also offers the possibility of performing measurement for one of the state outcomes, which shows the flexibility of the presented framework.


Zoom meeting details 

Topic: Quantum Information and Quantum Computing Working Group
Time: May 20, 2021, 3:15 PM Warsaw
Join Zoom Meeting

Meeting ID: 96294497969
Passcode: 729533

If you encounter any problems with connecting to the Zoom meeting, please email directly.