Dense coding and Teleportation
Cordula Schmitz-Sinn June 02
rd, 2018
1. Problem 1: MEASUREMENT
Compute the probabilityP(0|ρ)of outcome0when measuring the stateρ= 13|0ih0|+23|1ih1|using the von Neumann measurement defined by the ONB|e0i=√1
2(|0i+|1i),|e1i= √1
2(|0i − |1i).
Compute the average postmeasurement stateE(ρ).
2. Problem 2: TELEPORTATION
Suppose Alice and Bob share|φiA0B= √1
2(|00i+|11i)A0B.
The state to transfer is|ψiA=α|0i+β|1i. Assume that Alice gets the outcomej= 2when executing the von Neumann (Bell) measurement discussed in the lecture.
Verify that (after Bob’s correction operation), his state is|ψiB.
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