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Colloquium: Incompatible measurements in quantum information science
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 …
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
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 …
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
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 …
level of instruments one finds a much less clear situation, with mathematically different and …
Thermodynamic approach to quantifying incompatible instruments
We consider a thermodynamic framework to quantify instrument incompatibility via a
resource theory subject to thermodynamic constraints. We use the minimal thermalization …
resource theory subject to thermodynamic constraints. We use the minimal thermalization …
Complete classification of steerability under local filters and its relation with measurement incompatibility
Quantum steering is a central resource for one-sided device-independent quantum
information. It is manipulated via one-way local operations and classical communication …
information. It is manipulated via one-way local operations and classical communication …
Dynamical resource theory of incompatibility preservability
The uncertainty principle is one of quantum theory's most foundational features. It underpins
a quantum phenomenon called measurement incompatibility—two physical observables of …
a quantum phenomenon called measurement incompatibility—two physical observables of …
All quantum resources provide an advantage in exclusion tasks
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 …
should have a number of fundamental properties, and desirably also a clear operational …
Quantifying quantumness of channels without entanglement
Quantum channels breaking entanglement, incompatibility, or nonlocality are defined as
such because they are not useful for entanglement-based, one-sided device-independent …
such because they are not useful for entanglement-based, one-sided device-independent …
Characterisation and fundamental limitations of irreversible stochastic steering distillation
Steering resources, central for quantum advantages in one-sided device-independent
quantum information tasks, can be enhanced via local filters. Recently, reversible steering …
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 …
valued measures (POVMs), where the $ sharpness-non-increasing $ operations are given …