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For questions about quantum channels or more generally quantum maps and the related formalism. For questions about unitary operations, please use quantum-gate instead.
2
votes
1
answer
138
views
What is the relevance of preservation of trace in completely postive trace preserving (CPTP)...
Why is the trace preserving part necessary? Is it not enough if it can take all matrices to matrices of trace 1?
3
votes
0
answers
88
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What do you specify when you physically apply a unitary?
In the Environment and Quantum Operations in Nielsen and Chuang, section 8.2.2, they say that when you apply a unitary on a state, you expect the output as the just the state transformed by the unitar …
4
votes
1
answer
109
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Structural Physical Approximation of Partial Transpose
To make the partial transpose a complete positive and therefore physical map, one has to mix it with enough of the maximally mixed state to offset the negative eigenvalues.
The most negative eigenva …
4
votes
1
answer
389
views
How are witness operators physically implemented?
Let's take an example of an entanglement witness of the form $W = | \phi \rangle \langle \phi | ^{T_2}$ where $ | \phi \rangle $ is some pure entangled state.
If I wanted to test some state $\rho$, I …
4
votes
1
answer
349
views
For 2x2 and 2x3 systems, is the partial transpose the only positive but not CP operation?
Question: For 2x2 and 2x3 systems, is the partial transpose the only positive but not completely positive operation that is possible?
Why this came up: The criteria for detecting if a state $\rho$ is …