Wigner Functions for Arbitrary Quantum Systems
Todd Tilma, Mark J. Everitt, John H. Samson, William J. Munro, Kae, Nemoto
TL;DR
This paper introduces a universal framework for constructing Wigner functions applicable to any quantum system, leveraging system symmetries to provide a complete phase-space description regardless of system complexity.
Contribution
The authors develop a general, symmetry-based method for creating Wigner functions that can describe quantum systems of any size or dimension, overcoming previous limitations.
Findings
Framework applies to arbitrary quantum systems
Enables complete phase-space descriptions
Utilizes underlying symmetries for construction
Abstract
The possibility of constructing a complete, continuous Wigner function for any quantum system has been a subject of investigation for over 50 years. A key system that has served to illustrate the difficulties of this problem has been an ensemble of spins. Here we present a general and consistent framework for constructing Wigner functions exploiting the underlying symmetries in the physical system at hand. The Wigner function can be used to fully describe any quantum system of arbitrary dimension or ensemble size.
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