Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation

By P. Stelmachovic, V. Buzek. 2001

153 citations recorded by the source corpus.

We present a general analysis of the role of initial correlations between the open system and an environment on quantum dynamics of the open system.

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Colloquium: Non-Markovian dynamics in open quantum systems (2015, background): “Thus, naturally, a lot of effort has been put in trying to extend the formalism along these lines (Alicki, 1995; Shabani and Lidar, 2009; Stelmachovic and Buzek, 2001).”
Completely positive maps and classical correlations (2007, background): “It can be shown that this set of states is precisely those that are compatible with the correlations that are assumed to be present in the initial state of the system and the environment [9, 10].”
Quantum Information and Relativity Theory (2002, background): “However, the CP requirement may fail if there is a prior entanglement with another system and the dynamics is not factorizable (Pechukas, 1994; Štelmachovič and Bužek, 2001; Salgado and Sánchez-Gómez, 2002).”
A Postquantum Theory of Classical Gravity? (2018, unknown): “When we integrate over z , the presence of correlations between the classical system and the quantum one translate into different effective coupling strengths W ð z Þ for different quantum states [128,129].”
Dynamics of initially entangled open quantum systems (2004, background): “We find that these arguments are not conclusive and that any entanglement(1) or other correlations that may exist between the system and environment forces us to consider other types of maps as well [5, 6].”