Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State

Details Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State Remarks on the Fact that the Uncertainty Principle Does Not Determine the Quantum State

2007-03-07

arxiv.org/abs/quant-ph/0703061v1

Physics

Quantum Physics

To appaer in Phys. Lett. A

Scientific paper

We discuss the relation between density matrices and the uncertainty
principle; this allows us to justify and explain a recent statement by Man'ko
et al. We thereafter use Hardy's uncertainty principle to prove a new result
for Wigner distributions dominated by a Gaussian and we relate this result to
the coarse-graining of phase-space by "quantum blobs".

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