Partial Measurement / Teleportation

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SUMMARY

The discussion focuses on the concept of "partial measurement" in quantum mechanics, particularly in the context of quantum teleportation and the Bell basis. Participants clarify that a partial measurement involves measuring only a component of a qubit's state, which can lead to a partial collapse of the wavefunction, leaving the remaining particles in a superposition. This process is essential for Alice to determine the Bell state of her qubits, allowing her to communicate the measurement result to Bob, who can then reconstruct the original quantum state. The implications of partial measurements in entangled states are also highlighted, emphasizing their role in quantum teleportation protocols.

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msumm21
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What is meant by a "partial measurement" or "partial measurement in the Bell basis?"

More specifically, I'm trying to read the Wikipedia article on quantum teleportation, but I don't know what is meant when they say Alice performs a partial measurement on her qubits.
 
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Hi

i do not know what does it mean partial measurement...

up to my knowledge, Alice simply makes a measurement on her qbits in order to find out in what of the 4 Bell states they are. Then I think the protocol contoinues as wikipedia says. So Alice and Bob comunicate through a classical channel and Alice tells Bob the result of her measurement. With these information Bob can recover the initial state and thus the teleportation is accomplished.

Bye
 
Assuming we have a particle which is in some (spin) entangled state with 1 or more other spin particles. My guess is then that with a partial measurement you only measure the spin component of 1 particle. The measurement causes a "collapse". Normally, you would expect the "collapsed state" to be some unique state. But it's possible in the case of entangled states that the "collapsed state" is itself an entangled state as well, only now of the two remaning particles.

So, a partial measurement causes in some sense a partial collapse. The resulting wavefunction is still in some superposition.
 

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