Related papers: Strictly Localized Mixed States

Strictly Localized Mixed States

URL: http://arxiv.org/abs/2609.17013v1
Date: Tue, 15 Sep 2026 11:23:30 GMT
Title: Strictly Localized Mixed States
Abstract summary: We study strictly localized mixed states in quantum field theory.<n>We show that strictly localized bosonic mixed states contain terms with arbitrarily high particle numbers.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study strictly localized mixed states in quantum field theory: states that are indistinguishable from vacuum outside some spacetime region. Such states are generated from the vacuum by so-called Licht maps. While the states associated with individual outcomes of local, projective measurements on the vacuum are not strictly localized, the corresponding non-selective states are strictly localized and even admit decompositions into strictly localized pure states. Remarkably, however, there are strictly localized mixed states that cannot be written as mixtures of pure states strictly localized to the same region. Such states can arise from unsharp local measurements. Finally, we extend Knight's theorem to mixed states, showing that strictly localized bosonic mixed states contain terms with arbitrarily high particle numbers.

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