Kochen-specker contextuality
A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …
short, it states that quantum mechanics is in conflict with classical models in which the result …
Contextuality and inductive bias in quantum machine learning
Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …
data into an inductive bias of the model class. To understand the power of quantum machine …
Simple information-processing tasks with unbounded quantum advantage
Communication scenarios between two parties can be implemented by first encoding
messages into some states of a physical system which acts as the physical medium of the …
messages into some states of a physical system which acts as the physical medium of the …
On the optimal error exponents for classical and quantum antidistinguishability
The concept of antidistinguishability of quantum states has been studied to investigate
foundational questions in quantum mechanics. It is also called quantum state elimination …
foundational questions in quantum mechanics. It is also called quantum state elimination …
Quantitative relations between different measurement contexts
M Ji, HF Hofmann - Quantum, 2024 - quantum-journal.org
In quantum theory, a measurement context is defined by an orthogonal basis in a Hilbert
space, where each basis vector represents a specific measurement outcome. The precise …
space, where each basis vector represents a specific measurement outcome. The precise …
Characterization of the nonclassical relation between measurement outcomes represented by nonorthogonal quantum states
M Ji, HF Hofmann - Physical Review A, 2023 - APS
Quantum mechanics describes seemingly paradoxical relations between the outcomes of
measurements that cannot be performed jointly. In Hilbert space, the outcomes of such …
measurements that cannot be performed jointly. In Hilbert space, the outcomes of such …
Quantum state exclusion through offset measurement
The quantum state discrimination problem has Alice sending a quantum state to Bob who
wins if he correctly identifies the state. The pretty good measurement, also known as the …
wins if he correctly identifies the state. The pretty good measurement, also known as the …
Barycentric bounds on the error exponents of quantum hypothesis exclusion
Quantum state exclusion is an operational task that has significance in studying foundational
questions related to interpreting quantum theory. In such a task, one is given a system …
questions related to interpreting quantum theory. In such a task, one is given a system …
Tracing quantum correlations back to collective interferences
In this paper, we investigate the possibility of explaining nonclassical correlations between
two quantum systems in terms of quantum interferences between collective states of the two …
two quantum systems in terms of quantum interferences between collective states of the two …
Coming full circle--A unified framework for Kochen-Specker contextuality
M Frembs - arxiv preprint arxiv:2501.09750, 2025 - arxiv.org
Contextuality is a key distinguishing feature between classical and quantum physics. It
expresses a fundamental obstruction to describing quantum theory using classical concepts …
expresses a fundamental obstruction to describing quantum theory using classical concepts …