I need clarification about Bell state Measurements

In summary, the conversation discusses the four bell states and their application in super dense coding. The participants also mention their own understanding and questions about quantum information theory and recommend resources for further study.
  • #1
Baggio
211
1
The four bell states are

1: (|00>+|11>)(2)^-0.5
2: (|00>-|11>)(2)^-0.5
3: (|01>+|10>)(2)^-0.5
4: (|01>-|10>)(2)^-0.5

I'm looking at super dense coding and the way i thought of it at first was that if a measurement of the first qubit was made then if we consider the first bell state (1) if 0 is the value obtained then the system if forced into the state |00> so that measurement of the second qubit yields 0 with certainty..

Now take (2) if we measure the first qubit and we get 0 then apparently measurement of the 2nd qubit yields 1 with certainty.. So my way of thinking isn't correct lol

Can someone clarify?
 
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  • #2
Seems to me you are really into QIT...

Check out this site of John Preskill. All the answers are in the links to lecture notes, they are highly recommended. I studied quantum info theory from these lectures at college...
http://www.theory.caltech.edu/~preskill/ph219/
marlon
 
  • #3
I'm doing a project on Quantum computing :D
 
  • #4
well, you will find everything in them notes...feel free to ask more questions though

marlon
 

1. What is a Bell state measurement?

A Bell state measurement, also known as a Bell measurement, is a type of quantum measurement that is used to determine the quantum entanglement of two particles. It involves measuring the correlation between the two particles in a specific basis, known as the Bell basis.

2. How is a Bell state measurement performed?

A Bell state measurement is typically performed using a quantum circuit, which consists of quantum gates and measurements. The circuit is designed to entangle two particles, and then measure their correlation in the Bell basis. This measurement can be done using various techniques, such as photon detectors or nuclear magnetic resonance.

3. What are the applications of Bell state measurements?

Bell state measurements have various applications in quantum information processing, such as quantum teleportation, quantum cryptography, and quantum error correction. They are also used in quantum computing algorithms, such as the quantum Fourier transform and quantum search algorithms.

4. Can Bell state measurements be used in classical systems?

No, Bell state measurements rely on the principles of quantum mechanics and cannot be replicated in classical systems. They require the use of quantum technology, such as quantum computers or photon detectors, to perform the measurements accurately.

5. Are there any limitations or challenges in performing Bell state measurements?

One of the main challenges in performing Bell state measurements is maintaining the entanglement between the two particles. This can be affected by various factors, such as noise and decoherence. Additionally, the measurement process can be complex and may require advanced quantum technology and techniques.

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