Open quantum walks (OQWs) were introduced as quantum analogs to classical Markov chains. In contrast to unitary quantum walks, OQWs are driven by the dissipative interaction with the environment and are formulated in the language of open quantum systems. OQWs demonstrates rich dynamical behavior and can be used to perform efficient dissipative quantum computation and state engineering. Another benefit of OQWs is in the well-defined classical limit. The unitary quantum walks are gaining computational power from the quantum interference between the nodes of a walk, and the asymptotic behavior of them is highly non- gaussian.
In this talk, I will review the latest status of the OQW research and introduce a generalization of the QWs, which includes OQWs and unitary quantum walks as limiting cases. In this generalization, one can naturally identify an order parameter P = (characteristic time)/(characteristic length) and perform a “thermodynamic” limit in the characteristic parameters, while keeping P a constant. As a result, the asymptotic distribution of the position of the walker for the small values of P corresponds to a unitary quantum walk and for the large values of P to an OQWs, respectively.
Ilya Sinayskiy was born in 1981 in Smolensk, USSR (currently Russian Federation). In 2003 and 2007 he obtained his diploma in physics (MSc) and candidate of science degree (Ph.D.) from Samara State University (Samara, Russia). Dr. Sinayskiy joined Quantum Research Group lead by Prof. F. Petruccione (UKZN, Durban, South Africa) in January 2008. From December 2009 to May 2016 he held the position of a researcher and the National Institute for Theoretical Physics (NITHeP KZN node, located at UKZN) and since June 2016 he is a Senior Lecturer at the School of Chemistry and Physics (UKZN, South Africa).
His research interests are related to the theory of Open Quantum Sytems, with application in Quantum Information Theory, Quantum Thermodynamics, Quantum Biology, Quantum and Classical Machine Learning.