Open quantum system models of financial markets conserve off-diagonal orbit sums, settle into Toeplitz attractors, and converge to the same maximum-entropy state more slowly under non-classical diffusion than under classical diffusion.
Contractivity of positive and trace preserving maps under $L_p$ norms
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We provide a complete picture of contractivity of trace preserving positive maps with respect to $p$-norms. We show that for $p>1$ contractivity holds in general if and only if the map is unital. When the domain is restricted to the traceless subspace of Hermitian matrices, then contractivity is shown to hold in the case of qubits for arbitrary $p\geq 1$ and in the case of qutrits if and only if $p=1,\infty$. In all non-contractive cases best possible bounds on the $p$-norms are derived.
fields
q-fin.MF 1years
2025 1verdicts
REJECT 1representative citing papers
citing papers explorer
-
Modelling Financial Market Imperfection Using Open Quantum Systems
Open quantum system models of financial markets conserve off-diagonal orbit sums, settle into Toeplitz attractors, and converge to the same maximum-entropy state more slowly under non-classical diffusion than under classical diffusion.