Measurement Incompatibility versus Bell Nonlocality: An Approach via Tensor Norms

Loulidi, Faedi; Nechita, Ion

doi:10.1103/prxquantum.3.040325

Cited by 2 publications

(1 citation statement)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The different types of noise models above were introduced to study the effect of noise on the compatibility of quantum measurements. The notion of compatibility is highly explored in different contexts, such as the compatibility of quantum channels [HM17], the compatibility dimension [LN21, UKD + 21, HMT21], and the link between incompatibility and nonlocality [WPGF09,LN22].…”

Section: Introductionmentioning

confidence: 99%

The compatibility dimension of quantum measurements

Loulidi

Nechita

2021

Journal of Mathematical Physics

View full text Add to dashboard Cite

In this paper we introduce a novel noise model for quantum measurements motivated by an indirect measurement scheme with faulty preparation. Averaging over random dynamics governing the interaction between the quantum system and a probe, a natural, physical noise model emerges. We compare it to existing noise models (uniform and depolarizing) in the framework of incompatibility robustness. We observe that our model allows for larger compatibility regions for specific classes of measurements. Contents 1. Introduction 1 2. Quantum measurements 3 2.1. Compatibility 4 2.2. Noisy POVMs 5 3. Effective noise model via indirect measurements: the two outcomes case. 6 3.1. The two outcomes POVM induced by a perfect indirect measurement scheme 6 3.2. The noisy two outcomes POVM induced by an imperfect indirect measurement scheme 10 4. The case of arbitrary POVMs 12 4.1. General induced POVM 13 4.2. Physical noise model 14 5. Applications to compatibility 17 References 21

show abstract

Section: Introductionmentioning

confidence: 99%