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Results tagged with trace
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user 310984
Use this tag when having questions concerning expressions with the trace of a matrix/operator.
2
votes
0
answers
101
views
Trace distance of two infinite rank tensor product states
.$$
I have been trying to compute the following trace distance.
$$ \|e^{-itX\otimes P} \rho\otimes\sigma e^{itX\otimes P} - \Lambda_{2}\big\{e^{-itX\otimes P} \rho\otimes\sigma e^{itX\otimes P}\big … \}\|_{1} $$
Where the trace distance is defined as follows. $$ \|A-B\|_{1} = \frac{1}{2}Tr\sqrt{\big(A-B\big)^{\dagger}\big( A-B\big) }
$$
My question is independent of the specific structure of the quantum …
- 90
7
votes
1
answer
230
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A limit of a particular Quantum Fidelity
Let $\mathbf{\hat{\rho}}(t)$ and $\mathbf{\hat{\sigma}}(t)$ be two trace class positive operators acting on a Hilbert space of infinite dimension for all $t > 0$. …
- 90