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 …

Quantum superposition of high-dimensional states enables both computational speed-up
and security in cryptographic protocols. However, the exponential complexity of tomographic …

Contextuality is a hallmark feature of the quantum theory that captures its incompatibility with
any noncontextual hidden-variable model. The Greenberger-Horne-Zeilinger (GHZ)–type …

Two fundamental quantum resources, nonlocality and contextuality, can be connected
through Bell inequalities that are violated by state-independent contextuality (SI-C) sets …

As a phenomenon encompassing measurement incompatibility and Bell nonlocality,
quantum contextuality is not only central to our understanding of quantum mechanics, but …

Semidefinite programs (SDPs) are convex optimization programs with vast applications in
control theory, quantum information, combinatorial optimization, and operational research …

Contextuality is a distinctive feature of quantum theory and a fundamental resource for
quantum computation. However, existing examples of contextuality in high-dimensional …

Many problems in information theory can be reduced to optimizations over matrices, where
the rank of the matrices is constrained. We establish a link between rank-constrained …

In quantum cryptography, secure randomness expansion involves using a short private
string of random bits to generate a longer one, even in the presence of an adversary who …

Self-testing is a technology to certify states and measurements using only the statistics of the
experiment. Self-testing is possible if some extremal points in the set BQ of quantum …