Question

a Superdense coding (modified initial state) b Teleportation (modified initial state) Alice Alice H zHx HA BB 1 1 |y,) y, A1. In the figure above, double-lines indicate classical control channels, M={0,1} are classical bits, pointer devices indicate measurements, and o=y/1/2|01+|10. a Panel (a shows the superdense coding scheme, but modified such that it is initialized by or instead of oo. Calculate the indicated state for all possible combinations of Mi and M2, as well as the outputs indicated as A and A2. [8] b Panel (b shows a modified teleportation scheme, again initialized by |So instead of |oo). i Calculate the indicated state/). ii Next, assume you make a measurement of the first two qubits in the computational basis and the outcome is M,M. For all possible combinations of M and M determine the post-measurement state of the third qubit and state which operations marked B and B make it identical to the initial state of the first qubit. For each i=1,2, express B; as a single operator. [12]

Name: a superdense coding modified initial state b teleportation modified initial state alice alice h zhx ha bb 1 1 y y a1 in the figure above double lines indicate classical control channels m01 20814
Uploaded: 2023-10-18T17:56:04-08:00
Duration: 2 min 8 s
Channel: Akash M
Description: a superdense coding modified initial state b teleportation modified initial state alice alice h zhx ha bb 1 1 y y a1 in the figure above double lines indicate classical control channels m01 20814

          a Superdense coding (modified initial state)
b Teleportation (modified initial state)
Alice
Alice
H
zHx
HA
BB
1 1 |y,)
y,
A1. In the figure above, double-lines indicate classical control channels, M={0,1} are classical bits, pointer devices indicate measurements, and o=y/1/2|01+|10.
a Panel (a shows the superdense coding scheme, but modified such that it is initialized by or instead of oo. Calculate the indicated state for all possible combinations of Mi and M2, as well as the outputs indicated as A and A2. [8] b Panel (b shows a modified teleportation scheme, again initialized by |So instead of |oo). i Calculate the indicated state/). ii Next, assume you make a measurement of the first two qubits in the computational basis and the outcome is M,M. For all possible combinations of M and M determine the post-measurement state of the third qubit and state which operations marked B and B make it identical to the initial state of the first qubit. For each i=1,2, express B; as a single operator. [12]

a superdense coding modified initial state b teleportation modified initial state alice alice h zhx ha bb 1 1 y y a1 in the figure above double lines indicate classical control channels m01 20814

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