Colloquium: Incompatible measurements in quantum information science

O Gühne, E Haapasalo, T Kraft, JP Pellonpää… - Reviews of Modern …, 2023 - APS
Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

A compendious review of majorization-based resource theories: quantum information and quantum thermodynamics

G Torun, O Pusuluk… - Turkish Journal of …, 2023 - journals.tubitak.gov.tr
The field of quantum resource theory (QRT) has emerged as an invaluable framework for the
examination of small and strongly correlated quantum systems, surpassing the boundaries …

Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication

F Buscemi, K Kobayashi, S Minagawa, P Perinotti… - Quantum, 2023 - quantum-journal.org
While there is general consensus on the definition of incompatible POVMs, moving up to the
level of instruments one finds a much less clear situation, with mathematically different and …

Thermodynamic approach to quantifying incompatible instruments

CY Hsieh, SL Chen - Physical Review Letters, 2024 - APS
We consider a thermodynamic framework to quantify instrument incompatibility via a
resource theory subject to thermodynamic constraints. We use the minimal thermalization …

Complete classification of steerability under local filters and its relation with measurement incompatibility

HY Ku, CY Hsieh, SL Chen, YN Chen… - Nature …, 2022 - nature.com
Quantum steering is a central resource for one-sided device-independent quantum
information. It is manipulated via one-way local operations and classical communication …

Dynamical resource theory of incompatibility preservability

CY Hsieh, B Stratton, CH Wu, HY Ku - Physical Review A, 2025 - APS
The uncertainty principle is one of quantum theory's most foundational features. It underpins
a quantum phenomenon called measurement incompatibility—two physical observables of …

All quantum resources provide an advantage in exclusion tasks

R Uola, T Bullock, T Kraft, JP Pellonpää, N Brunner - Physical review letters, 2020 - APS
A key ingredient in quantum resource theories is a notion of measure. Such as a measure
should have a number of fundamental properties, and desirably also a clear operational …

Quantifying quantumness of channels without entanglement

HY Ku, J Kadlec, A Černoch, MT Quintino, W Zhou… - PRX Quantum, 2022 - APS
Quantum channels breaking entanglement, incompatibility, or nonlocality are defined as
such because they are not useful for entanglement-based, one-sided device-independent …

Characterisation and fundamental limitations of irreversible stochastic steering distillation

CY Hsieh, HY Ku, C Budroni - arxiv preprint arxiv:2309.06191, 2023 - arxiv.org
Steering resources, central for quantum advantages in one-sided device-independent
quantum information tasks, can be enhanced via local filters. Recently, reversible steering …

A complete and operational resource theory of measurement sharpness

F Buscemi, K Kobayashi, S Minagawa - Quantum, 2024 - quantum-journal.org
We construct a resource theory of $ sharpness $ for finite-dimensional positive operator-
valued measures (POVMs), where the $ sharpness-non-increasing $ operations are given …