I need clarification about Bell state Measurements

Click For Summary
SUMMARY

The discussion centers on the clarification of Bell state measurements in quantum computing, specifically the four Bell states: (|00>+|11>)(2)^-0.5, (|00>-|11>)(2)^-0.5, (|01>+|10>)(2)^-0.5, and (|01>-|10>)(2)^-0.5. The user expresses confusion regarding the implications of measuring the first qubit on the certainty of the second qubit's measurement outcome. It is established that measuring the first qubit does not guarantee the expected outcomes for the second qubit, highlighting the non-classical correlations present in quantum states. Resources from John Preskill's lecture notes on quantum information theory are recommended for further understanding.

PREREQUISITES
  • Understanding of Bell states in quantum mechanics
  • Familiarity with quantum measurement principles
  • Basic knowledge of quantum information theory
  • Experience with quantum computing concepts
NEXT STEPS
  • Study the implications of quantum entanglement on measurement outcomes
  • Learn about superdense coding techniques in quantum communication
  • Explore John Preskill's lecture notes on quantum information theory
  • Investigate the mathematical representation of quantum states and operators
USEFUL FOR

Quantum computing enthusiasts, researchers in quantum information theory, and students seeking to deepen their understanding of Bell states and their applications in quantum communication.

Baggio
Messages
211
Reaction score
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?
 
Physics news on Phys.org
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
 
I'm doing a project on Quantum computing :D
 
well, you will find everything in them notes...feel free to ask more questions though

marlon
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
968
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 18 ·
Replies
18
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K