6 citations · 6 across the 8 of their papers we have counts for
10 papers
Limit Theorems for Disordered Quantum Trajectories
Yeor Hafouta, Lubashan Pathirana
We study discrete-time quantum trajectories of a finite-dimensional system in a disordered environment, where the instrument applied at each step is determined by an invertible mea…
A simple proof of the group-theoretic Zhang-Yeung inequality
Harold Nieuwboer, Lubashan Pathirana
Zhang and Yeung (IEEE Trans. Inf. Theory, 1998) established the first non-Shannon-type inequality that holds for all entropic vectors. Chan and Yeung (IEEE Trans. Inf. Theory, 2002…
Julia Sets for Sequences of Monomials
Lubashan Pathirana, Carsten Lunde Petersen, Dimitris Vardakis
We study Julia sets arising from non-autonomous iteration of monomials on the Riemann sphere. We give a precise description of the Julia set associated to an arbitrary sequence of…
Asymptotic Replacement for Quantum Channel Products with Applications to Inhomogeneous Matrix Product States
Lubashan Pathirana
We develop a product-level trace-Dobrushin theory for finite-dimensional quantum channel products and apply it to deterministic and stationary random inhomogeneous matrix product s…
Central Limit Theorems for Outcome Records in Disordered Quantum Trajectories
Lubashan Pathirana
We prove annealed functional central limit theorems for finite pattern counts in the measurement record of discrete-time quantum trajectories, with the instrument applied at each s…
Correlation Lengths for Stochastic Matrix Product States
Lubashan Pathirana, Albert H. Werner
We introduce a general model of stochastically generated matrix product states (MPS) in which the local tensors share a common distribution and form a strictly stationary sequence,…
Asymptotic Behavior of Random Time-Inhomogeneous Markovian Quantum Dynamics
Lubashan Pathirana, Jeffrey Schenker
We study the asymptotic behavior of continuous-time, time-inhomogeneous Markovian quantum dynamics in a stationary random environment. Under mild faithfulness and eventually positi…
Ergodic Theorems for Quantum Trajectories under Disordered Generalized Measurements
Owen Ekblad, Eloy Moreno-Nadales, Lubashan Pathirana
We consider quantum trajectories arising from disordered, repeated generalized measurements, which have the structure of Markov chains in random environments (MCRE) with dynamicall…
Asymptotic Purification of Quantum Trajectories under Random Generalized Measurements
Owen Ekblad, Eloy Moreno-Nadales, Lubashan Pathirana +1
We develop a general framework to study quantum trajectories resulting from repeated random measurements subject to stationary noise, and generalize results of Kümmerer and Maassen…
Law of large numbers and central limit theorem for ergodic quantum processes
Lubashan Pathirana, Jeffrey Schenker
A discrete quantum process is represented by a sequence of quantum operations, which are completely positive maps that are not necessarily trace preserving. We consider quantum pro…