For questions about mixed-unitary channels.
Questions tagged [mixed-unitary-channels]
3 questions
9
votes
1 answer
Can the Kraus decomposition always be chosen to be a statistical mixture of unitary evolutions?
If $\mathcal{E}$ is a CPTP map between hermitian operators on two Hilbert spaces, then we can find a set of operators $\{K_j\}_j$ such that
$$\mathcal{E}(\rho)=\sum_j K_j\rho K_j^\dagger $$
in the same spirit as any density matrix $\rho$ can be…
user2723984
- 1,156
- 8
- 16
6
votes
2 answers
Determining whether there exists an equivalent set of unitary Kraus operators
I have a CPTP quantum channel $\mathcal{E}$ that I've characterized by an operator sum representation $\{E_i\}$ for $i=1, \dots, m$ which acts on an input state like
$$
\mathcal{E}(\rho) = \sum_{i=1}^m E_i \rho E_i^\dagger
$$
with $\sum_i…
forky40
- 7,988
- 2
- 12
- 33
-1
votes
1 answer
how to mix (or time average) two density matrix?
Given two density matrix $\rho_1,\rho_2$ with the same size, how to get a mix state of the two matrix,
$$
\rho = \frac12 (\rho_1+\rho_2)?
$$
e.g. there are two quantum channel both of them have 4 qubits, with density matrix $\rho_1,\rho_2$.
Now, we…
Boyuan Wang
- 39
- 4