Questions tagged [state-distillation]
Entanglement distillation is the transformation of N copies of an arbitrary entangled state into some number of approximately pure Bell pairs, using only local operations and classical communication (LOCC). (Wikipedia)
5
questions
4
votes
1answer
44 views
Why is $\rho$ NPT if and only if $\rho^{\otimes N}$ is NPT?
In Horodecki et al. (1998), to prove that distillability implies having a negative partial transpose (being NPT). The authors use the fact that "a state $\rho$ is NPT if and only if $\rho^{\otimes N}$ ...
2
votes
0answers
29 views
What proportions of certain sets of PPT-two-retrit states are bound entangled or separable?
For two particular (twelve-and thirteen-dimensional) sets of two-retrit states (corresponding to 9 x 9 density matrices with real off-diagonal entries), I have been able to calculate the Hilbert-...
4
votes
1answer
79 views
What do entanglement cost and distillable entanglement have to do with measuring entanglement?
So far what I have learned is that von-Neumann entropy is a tool to measure or quantify information and therefore entanglement for a given pure state system. However, similar concepts emerge from the ...
5
votes
1answer
136 views
Entanglement distillation by local operations and post-selection using one entanglement pair
Consider the state $|X\rangle = \sqrt{0.9} |00\rangle + \sqrt{0.1} |11\rangle$, shared between Alice and Bob, who are located far apart.
Alice brings in an ancilla qubit at her location (left-most ...
16
votes
1answer
260 views
How does magic state distillation overhead scale compare to quantum advantages?
I'm interested in the model of quantum computation by magic state injection, that is where we have access to the Clifford gates, a cheap supply of ancilla qubits in the computational basis, and a few ...
