6 citations · 10 across the 5 of their papers we have counts for
5 papers
The Funessian process: Non-Markovian dynamics shaped by the first event
Bilal Canturk, Gokhan Baris Bagci, Onur Pusuluk
We construct a continuous-time, positively divisible non-Markovian process with memory of the initial state that satisfies the differential Chapman--Kolmogorov equation. In the sta…
Unification of stochastic matrices and quantum operations for N-level systems
Bilal Canturk
The time evolution of the one-point probability vector of stochastic processes and quantum processes for -level systems have been unified. Hence, quantum states and quantum oper…
On positively divisible non-Markovian processes
Bilal Canturk, Heinz-Peter Breuer
There are some positively divisible non-Markovian processes whose transition matrices satisfy the Chapman-Kolmogorov equation. These processes should also satisfy the Kolmogorov co…
Optimal upper bound of entropic uncertainty relation for mutually unbiased bases
Bilal Canturk, Zafer Gedik
We have obtained the optimal upper bound of entropic uncertainty relation for Mutually Unbiased Bases (MUBs). We have used the methods of variational calculus for the states th…
Group theory, entropy and the third law of thermodynamics
Bilal Canturk, Thomas Oikonomou, G. Baris Bagci
Curado \textit{et al.} [Ann. Phys. \textbf{366} (2016) 22] have recently studied the axiomatic structure and the universality of a three-parameter trace-form entropy inspired by th…