Robust certification of unsharp instruments through sequential quantum advantages in a prepare-measure communication game

S. S., Abhyoudai and Mukherjee, Sumit and Pan, Alok Kumar (2023) Robust certification of unsharp instruments through sequential quantum advantages in a prepare-measure communication game. Physical Review A, 107 (1). ISSN 2469-9926

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Abstract

Communication games are one of the widely used tools that are designed to demonstrate quantum supremacy over classical resources in which two or more parties collaborate to perform an information processing task to achieve the highest success probability of winning the game. We propose a specific two-party communication game in the prepare-measure scenario that relies on an encoding-decoding task of specific information. We first demonstrate that quantum theory outperforms the classical preparation noncontextual theory and the optimal quantum success probability of such a communication game enables the semi-device-independent certification of qubit states and measurements. Further, we consider the sequential sharing of quantum preparation contextuality and show that, at most, two sequential observers can share the quantum advantage. The suboptimal quantum advantages for two sequential observers form an optimal pair which certifies a unique value of the unsharpness parameter of the first observer. Since the practical implementation inevitably introduces noise, we devised a scheme to demonstrate the robust certification of the states and unsharp measurement instruments of both the sequential observers.

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IITH Creators:

IITH Creators	ORCiD
Pan, Alok Kumar	https://orcid.org/0000-0002-4269-3971

Item Type:

Article

Uncontrolled Keywords:

Communication games; Contextuality; Encoding/decoding; Independent certification; Measurements instruments; Optimal pairs; Qubit measurement; Qubit state; Specific information; Quantum theory

Subjects:

Physics
Physics > Classical mechanics

Divisions:

Department of Physics

Depositing User:

Mr Nigam Prasad Bisoyi

Date Deposited:

16 Aug 2023 11:29

Last Modified:

16 Aug 2023 11:29

URI:

http://raiithold.iith.ac.in/id/eprint/11560