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Given a separable Hilbert space $\mathcal{H}$, such as the sequence space $\mathcal{l}_2$, write $B(\mathcal{H})$ for its C*-algebra of bounded linear operators and $D(\mathcal{H})$ for the subalgebra of diagonal operators.
The Kadison-Singer problem is the question:
Does every pure state $\psi$ on $D(\mathcal{H})$ extend to a state $\rho$ on $B(\mathcal{H})$?
This was proven to be the case in Marcus-Spielman-Srivastava 13.
Other theorems about the foundations and interpretation of quantum mechanics include:
The problem was stated in
and its solution was proven in
Review includes
Last revised on December 11, 2017 at 08:47:05. See the history of this page for a list of all contributions to it.