Quantum Teleportation / Beam Splitters

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SUMMARY

The discussion centers on the mechanics of quantum teleportation and the role of beam splitters (BS) in photon polarization states. When photon K is at a 45-degree angle, its state can be teleported to photon E2, with entangled photons E1 and E2 exhibiting states |HV>-|VH>. The impact of using a polarizing beam splitter (PBS) on the teleportation process is questioned, particularly regarding the polarization states of photons K, E1, and E2. The feasibility of measuring polarization at angles other than H/V using a PBS is also explored.

PREREQUISITES
  • Understanding of quantum entanglement and polarization states
  • Familiarity with beam splitter (BS) and polarizing beam splitter (PBS) functionality
  • Knowledge of quantum teleportation principles
  • Basic concepts of photon polarization (H and V states)
NEXT STEPS
  • Research the mechanics of quantum teleportation in detail
  • Study the effects of beam splitters on photon polarization
  • Explore advanced topics in quantum optics, including wave plates
  • Investigate the use of polarizing beam splitters for measuring non-H/V bases
USEFUL FOR

Quantum physicists, optical engineers, and researchers in quantum information science will benefit from this discussion, particularly those focusing on quantum teleportation and photon polarization techniques.

StevieTNZ
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In regards to this image - http://img.photobucket.com/albums/v608/steviet/image2.jpg:

(a) when K is 45 degrees, when K reflects and E1 reflects, or K transmits and E1 transmits - the state of K gets teleported to E2.
Photons E1 and E2 are entangled as |HV>-|VH>. Therefore if E2 is 45, then E1 is 135.

Would the above result be the same if instead we use a PBS?

(b) Perhaps would the teleportation experiment work if photon K was H polarised (or V polarised)? But then it would be a matter of a H polarised photon always transmitting, and ½ probability of E1 transmitting? Not sure if teleportation would work in that instance. Then if E2 acquired H polarisation, then E1 would be V polarised – and I’m not sure whether things would need to be backward compatible: K transmitting (being H), E1 reflecting (if it becomes V polarised).


In regards to this image - http://img.photobucket.com/albums/v608/steviet/scan0001.jpg

I was wondering whether what I have in the image is correct? Or for the 2nd BS image, sending the photon on that angle the reflected photon is H (rather than V)?

And if you send that reflected (or transmitted) photon to the wave plate then measure with a PBS, which one - of V or H – would we get to indicate 45 or 135 polarisation?

Is it possible to rotate a PBS to measure along other bases rather than just H/V, or rotating the PBS still measures only in H/V (rather than 45/135)?
 
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