Connections between measurement incompatibility and quantum coherence

Abstract:

Measurement incompatibility (or lack of joint measurability) has recently been identified as a resource for various quantum information tasks such as steering and state discrimination. Likewise, quantum coherence, initially seen solely as a property of quantum states, has recently been established as an important resource in measurements. In this talk, I will present a general link between these two fundamental quantum resources, in an operational framework where coherence in measurements is the primary resource sustaining incompatibility. The connection provides a new concrete method for solving joint measurability problems, using coherence as a criterion, and is tractable even in large systems without resorting to numerical optimisations. I will highlight applications to noisy MUBs (mutually unbiased bases), and apply the general framework to study emergent classicality in realistic open quantum systems. The talk is based on the recent paper [1].

References:

[1] Jukka Kiukas, Daniel McNulty, Juha-Pekka Pellonpää, How much quantum coherence is needed for measurement incompatibility?, arXiv:2011.07239 (2021).

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Zoom meeting details 

Topic: Quantum Information and Quantum Computing Working Group
Time: February 11, 2021, 3:15 PM Warsaw
 
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Meeting ID: 96294497969
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