On classical and quantum liftings
L. Accardi, D. Chru\'sci\'nski, A. Kossakowski, T. Matsuoka, M. Ohya
TL;DR
This paper explores the concept of lifting in classical and quantum systems, providing a general theory and illustrating it with circulant states, which is relevant for quantum information and open system theories.
Contribution
It introduces a general framework for liftings in classical and quantum systems and illustrates it with a specific class related to circulant states.
Findings
Develops a unified theory of liftings for classical and quantum systems
Provides explicit examples related to circulant states
Highlights relevance for quantum information and open systems
Abstract
We analyze the procedure of lifting in classical stochastic and quantum systems. It enables one to `lift' a state of a system into a state of `system+reservoir'. This procedure is important both in quantum information theory and the theory of open systems. We illustrate the general theory of liftings by a particular class related to so called circulant states.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Applications · Quantum optics and atomic interactions