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Results tagged with trace
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user 247693
Use this tag when having questions concerning expressions with the trace of a matrix/operator.
1
vote
1
answer
242
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When does the identity $\|\mathrm{Tr}_B UXU^\dagger\|_1=\|\mathrm{Tr}_B X\|_1$, with $U$ uni...
Define the trace norm as
$$ \lVert X\rVert_1 = \text{Tr}(\sqrt{XX^\dagger}) $$
where $X$ is a linear operator on $\mathcal{H}_{AB}$, and $X^\dagger$ denote the complex conjugate of $X$. …
- 171
6
votes
1
answer
217
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If $\text{Tr}_B \rho^{AB}$ is almost pure, then $\rho^{AB}$ is almost a product state?
Let $\rho^{AB}$ be a bipartite state, and let $\rho^A$ denote the partial trace. … Here $\lVert\cdot\rVert_1$ denotes the trace norm. …
- 171