Problem 22. Let p1 and p2 be density matrices in the same Hilbert space. The Bures distance between the two density matrices is defined as DB(P1, P2) := V2(1– tr((p}"?p2e}"")"/2)). 1/: Consider the density matrices 1 Pi = 1/2 1/2 0 0 P2 acting in the Hilbert space C². Find the Bures distance.

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be density matrices in the same Hilbert
space. The Bures distance between the two density matrices is defined as
Problem 22.
Let
P1
and
P2
DB(P1, P2):=
/2(1 – tr((ppae)1/2)).
Consider the density matrices
(6 8)
1/2
1/2
Pi =
0.
P2 =
acting in the Hilbert space C2. Find the Bures distance.
Transcribed Image Text:be density matrices in the same Hilbert space. The Bures distance between the two density matrices is defined as Problem 22. Let P1 and P2 DB(P1, P2):= /2(1 – tr((ppae)1/2)). Consider the density matrices (6 8) 1/2 1/2 Pi = 0. P2 = acting in the Hilbert space C2. Find the Bures distance.
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