Device independent witness of arbitrary dimensional quantum systems employing binary outcome measurements

Abstract

Device independent dimension witnesses (DW) are a remarkable way to test the dimension of a quantum system in a prepare-and-measure scenario imposing minimal assumptions on the internal features of the devices. However, as the dimension increases, the major obstacle in the realization of DW arises due to the requirement of many outcome quantum measurements. In this article, we propose a new variant of a widely studied communication task (random access code) and take its average payoff as the DW. The presented DW applies to arbitrarily large quantum systems employing only binary outcome measurements.

arXiv comment7 pages, 6 figures; the version without editorial changes

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• Quantum random access codes and incompatibility of measurements
• Device-independent certification of Hilbert space dimension using a family of Bell expressions
• Measurement incompatibility and quantum advantage in communication
• General Method for Classicality Certification in the Prepare and Measure Scenario
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Operational foundations of complementarity and uncertainty relations
• Quantum Advantages in (n,d)->1 Random Access Codes
• Unbounded quantum advantage in communication complexity measured by distinguishability
• A general bound for the dimension of quantum behaviours in the prepare-and-measure scenario
• Multiparty quantum random access codes
• Role of nonclassical temporal correlation in powering quantum random access codes