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1 vote

Maximum entanglement entropy of a random circuit

This looks like a homework question, so I give hints in the form of useful facts. The entanglement between the partition of the first three qubits and the last three qubits only occurs due to the ...
MonteNero's user avatar
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3 votes

Does measurement in different bases allow for FTL communication?

If Alice measures in the $|+ \rangle$, $| - \rangle$ basis, then Bob's qubit will indeed be in either the $|+\rangle$ or $|-\rangle$ state depending on the result of Alice's measurement. But your ...
Nick Mertes's user avatar
1 vote

Minimizing $1 - \text{Tr}(\Phi(\rho,U)^2)$

In your setup, the choice $U={\bf 1}$ of course suffices to minimize your function $$1 - \text{Tr}(\Phi(\rho, U)^2), \tag{1}$$ because we then have $\Phi(\rho, U) = {\rm Tr}_2(\rho) = \overline{\rho}...
Jos Bergervoet's user avatar
1 vote

Special entangled tripartite state

Yeah, here's a simple example. Suppose $A$ is a $d$ dimensional system with $d \geq 4$ and $d$ not prime. Then I can find a bipartition of $A$ into two subpaces $A_1, A_2$ of dimension at least $2$ ...
Rammus's user avatar
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