17 papers
Pseudocontexts forced by finite context hypergraphs
Mirko Navara, Karl Svozil
A context is a complete set of mutually exclusive outcomes whose probabilities sum to one. We define a pseudocontext as two disjoint groups, with no mutually exclusive pair within…
Double-Exponential Quasi-Orthogonality: The Geometry of Decoherence
Karl Svozil
A composite system of N local q-level factors has dimension D=q^N. Although at most D vectors can be exactly orthogonal, a fixed squared-overlap tolerance \eps permits M_\eps(D)\gt…
Certified Private Relational Time from Entanglement
Karl Svozil
We introduce an ``entangled clock'' in which time is defined operationally by discrete measurement registrations on a singlet state. Locally, each party's tick rate is fixed by the…
Singlet-Like Correlations: Equal Peak Work, Unequal Robustness
Karl Svozil
Initial system-environment correlations are a thermodynamic resource, enabling work extraction through their erasure. We compare three representative singlet-like, rotationally cov…
Answer Partitions and Oracle Access Determine Quantum Query Complexity
Karl Svozil
An answer partition specifies which oracle instances share an output, while query complexity also depends on how those instances are accessed. We formulate exact one-query answer-p…
Local Softmax and Global Weights in Non-Boolean Event Structures
Karl Svozil
Softmax and related normalized response functions are widely used in choice theory, machine learning, and cognitive science. In non-Boolean event structures with overlapping contex…