A two-state stochastic evolution is divisible between given times if and only if the earlier transition matrix lies in one of two explicitly described cone regions, with continuous curves crossing a critical diagonal necessarily becoming indivisible.
Equivalence between divisibility and monotonic decrease of information in classical and quantum stochastic processes
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
The crucial feature of a memoryless stochastic process is that any information about its state can only decrease as the system evolves. Here we show that such a decrease of information is equivalent to the underlying stochastic evolution being divisible. The main result, which holds for both classical and quantum stochastic processes, rely on a quantum version of the so-called Blackwell-Sherman-Stein theorem in classical statistics.
fields
quant-ph 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Divisible and indivisible Stochastic-Quantum dynamics
A two-state stochastic evolution is divisible between given times if and only if the earlier transition matrix lies in one of two explicitly described cone regions, with continuous curves crossing a critical diagonal necessarily becoming indivisible.