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Symplectic Geometry of Quantum Noise

Symplectic Geometry of Quantum Noise
by Leonid Polterovich

Publisher: arXiv 2012
Number of pages: 57

We discuss a quantum counterpart, in the sense of the Berezin-Toeplitz quantization, of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. It turns out that they can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics. Our findings include various geometric mechanisms of quantum noise production and a noise-localization uncertainty relation.

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