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Quantum Thermodynamics
Beyond Density Matrices: Geometric Quantum States
arXiv
Authors: Fabio Anza, James P. Crutchfield
Year
2020
Paper ID
21342
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
A quantum system's state is identified with a density matrix. Though their probabilistic interpretation is rooted in ensemble theory, density matrices embody a known shortcoming. They do not completely express an ensemble's physical realization. Conveniently, when working only with the statistical outcomes of projective and positive operator-valued measurements this is not a hindrance. To track ensemble realizations and so remove the shortcoming, we explore geometric quantum states and explain their physical significance. We emphasize two main consequences: one in quantum state manipulation and one in quantum thermodynamics.
Why This Paper Matters
- This paper contributes to the Quantum Thermodynamics research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- A quantum system's state is identified with a density matrix.
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