TL;DR
This paper establishes conditions under which randomly selected orthogonal subspaces of a Hilbert space collectively span the entire space, contributing to the understanding of quantum space coverage.
Contribution
It introduces new criteria for when sequences of random orthogonal subspaces generate the whole Hilbert space in quantum settings.
Findings
Identifies specific conditions for space coverage by random subspaces
Provides theoretical framework for quantum space generation
Enhances understanding of quantum subspace arrangements
Abstract
We give conditions under which a sequence of randomly chosen orthogonal subspaces of a separable Hilbert space generates the whole space.
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