Quantum polarisation probability

However, the use of bra-ket notation may be confusing for some, and it is important to understand the concept behind it in order to use it effectively in quantum mechanics. In summary, bra-ket notation is a useful tool for representing and calculating the inner product of quantum states, but it may require some understanding and practice to use effectively.
  • #1
rohanlol7
67
2

Homework Statement


upload_2017-6-11_11-56-49.png

I am stuck on the second paragraph but I thought I would add the first paragraph in case some context would help!

Homework Equations


|A> = cos(theta)|H> + sin(theta)|V>

The Attempt at a Solution



I am not wholly comfortable with bra-ket notation with the outer product

p = <A|thetaA><thetaB|B> [maybe not sure]

not sure what to do from here..

thank you for any help
upload_2017-6-11_11-56-49.png
upload_2017-6-11_11-56-49.png
upload_2017-6-11_11-56-49.png
upload_2017-6-11_11-56-49.png
 

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  • #2
!In quantum mechanics, bra-ket notation is used to represent the inner product of two quantum states. The inner product of two states can be written as |A><B|, where A and B are two arbitrary quantum states. In this notation, the outer product of a state with itself is written as |A><A|. This expression can be used to calculate the probability of transitioning from one state to another, by taking the inner product of the two states in question. For example, if we want to calculate the probability of transitioning from a state A to a state B, we can write the transition probability as p = <A|thetaA><thetaB|B>, where thetaA and thetaB are the angles of the respective states.
 

Related to Quantum polarisation probability

1. What is quantum polarisation probability?

Quantum polarisation probability is a measure of the likelihood that a quantum particle will be found in a particular polarisation state when measured.

2. How is quantum polarisation probability related to quantum mechanics?

In quantum mechanics, the state of a particle is described by a wave function, which determines the probability of finding the particle in a particular state. Quantum polarisation probability is used to describe the probability of a particle being in a specific polarisation state.

3. How does quantum polarisation probability differ from classical probability?

Quantum polarisation probability is different from classical probability in that it takes into account the probabilistic nature of quantum particles. In classical physics, the state of a particle can be determined with certainty, while in quantum mechanics, the state is described by a probability distribution.

4. What is the role of quantum polarisation probability in quantum communication?

In quantum communication, quantum polarisation probability is used to encode information in the polarisation states of particles, allowing for secure and efficient communication. The probability of a particle being in a particular polarisation state can be manipulated to represent different values or bits of information.

5. How is quantum polarisation probability measured in experiments?

In experiments, quantum polarisation probability is measured by using polarisation filters that can detect the state of a particle's polarisation. The results are then compared to the theoretical predictions based on the wave function of the particle.

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