Quantum steering with imprecise measurements

Abstract

We study quantum steering experiments without assuming that the trusted party can perfectly control their measurement device. Instead, we introduce a scenario in which these measurements are subject to small imprecision. We show that small measurement imprecision can have a large detrimental influence in terms of false positives for steering inequalities, and that this effect can become even more relevant for high-dimensional systems. We then introduce a method for taking generic measurement imprecision into account in tests of bipartite steering inequalities. The revised steering bounds returned by this method are analytical, easily computable, and are even optimal for well-known families of arbitrary-dimensional steering tests. Furthermore, it applies equally well to generalised quantum steering scenarios, where the shared quantum state does not need to be separable, but is instead limited by some other entanglement property.

See also the paper of S. Sarkar on arXiv today

References in corpus (8)

• Entanglement detection
• Observation of one-way Einstein-Podolsky-Rosen steering
• Multipartite Einstein-Podolsky-Rosen steering and genuine tripartite entanglement with optical networks
• Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
• Local hidden--variable models for entangled quantum states
• Experimental device-independent verification of quantum steering
• Device-independent certification of high-dimensional quantum systems
• Distrustful quantum steering

Cited by in corpus (8)

• Genuine multipartite entanglement detection with imperfect measurements: concept and experiment
• Quantum stochastic communication via high-dimensional entanglement
• Detecting quantum steering in networks
• Information capacity of quantum communication under natural physical assumptions
• Imprecision plateaus in quantum steering
• Quantum Assemblage Tomography
• Imprecise quantum steering inequalities in tripartite systems
• Multipartite steering verification with imprecise measurements