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Martin Plávala (Leibniz University Hannover)5/19/26, 2:00 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
The gravity-mediated entanglement experiments employ concepts from quantum information to argue that if entanglement due to gravitational interaction is observed, then gravity cannot be described by a classical system. However, the proposed experiments remain beyond out current technological capability, with optimistic projections placing the experiment outside of short-term future. Here we...
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Matthias Kleinmann (University of Münster)5/19/26, 2:25 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
Generalized probabilistic theories (GPTs) are a general framework to describe physical theories like quantum mechanics and classical mechanics. At their core, GPTs model prepare-and-measure scenarios by describing preparations and measurements within ordered vector spaces and then predicting measurement outcome probabilities. This framework has been very successful in describing and...
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Hayato Arai (University of Tokyo)5/19/26, 2:50 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
In quantum theory, POVMs form the maximal class of measurements compatible with the Born rule. Operational reconstructions motivate a broader convex framework—General Probabilistic Theories (GPTs)—specified by a convex state space and its dual cone of affine measurement functionals.
Within GPTs one can define “non-positive POVMs” (N-POVMs): Hermitian effects summing to the unit but not...
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Ryo Takakura (University of Osaka)5/19/26, 3:45 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
In quantum theory, certain observables cannot be measured simultaneously, a feature known as measurement incompatibility. This concept captures a fundamental limitation of quantum measurements and has deep connections to quantum phenomena. In this talk, we propose an operational framework to characterize measurement incompatibility using restricted sets of states, modeled as convex subsets. We...
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Jamie Sikora (Virginia Tech)5/19/26, 4:10 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
Identifying quantum states is one of the oldest problems in quantum information theory. In this work, we explore a variation of this task: rather than determining which state a system is in, we seek to identify a state that it is not. A set of quantum states is said to be antidistinguishable if this inverse guessing game can be won with certainty. We establish tight bounds characterizing when...
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Gereon Koßmann (RWTH Aachen University)5/19/26, 4:35 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
We develop quantitative de Finetti representation theorems beyond standard quantum settings, driven by the principle that permutation symmetry enforces approximate independence at finite extension level. First, using a GPT-motivated notion of relative entropy (via an integral representation) we define mutual information for general convex state spaces and prove a uniform monogamy bound for...
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Julius Alexander Zeiss (RWTH Aachen)5/19/26, 5:00 PMConvex Structures in Quantum Information and GravityMinisymposium Talk
We apply information-theoretic de Finetti principles to build convergent approximation schemes with explicit finite-level guarantees, yielding both outer relaxations and certified inner points. For polynomial optimization over convex bodies with local equality and inequality constraints, an information-theoretic monogamy argument yields a convergent conic hierarchy whose approximation error...
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