How Does RDM Notation Relate to Quantum State Representation?

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Homework Help Overview

The discussion revolves around the relationship between RDM (Reduced Density Matrix) notation and quantum state representation, specifically focusing on the notation used for quantum states such as |Z+> and |X+>. Participants express confusion regarding the similarities between different quantum states and their representations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the meaning of notation such as |00> and |X+>, and whether |Z+>_A|Z+>_B is analogous to |00>. There is also a mention of needing clarification on the concept of "similar" in this context.

Discussion Status

The discussion is ongoing, with participants exploring definitions and relationships between quantum states. Some guidance has been provided regarding the notation, but there is no clear consensus on the interpretations being discussed.

Contextual Notes

There are references to specific quantum states and their representations, as well as a mention of a related thread that may provide additional context. The original poster's understanding of the notation appears to be incomplete, leading to further questions and clarifications.

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Homework Statement



[tex] \hat{\rho} = \left|\Phi_{AB}\right\rangle\left\langle\Phi{AB}\right| <br /> = \alpha ( |Z+>_A|Z+>_B+|X+>_A|X+>_B)* \alpha ( <Z+|_B <Z+|_A+<X+|_B<X+|_A)<br /> [/tex]

Is |Z+>_A|Z+>_B similar to |00> ? I'm confused wiht notation

Homework Equations





The Attempt at a Solution

 
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I think you will have to explain what |00> is, and what you mean by "similar". Also, what does |X+> mean? An eigenstate of the x-component of spin?
 


Ignore the question on |00>.

Yes.
 


That was the only question you asked. :smile:
 


referring to the other post: https://www.physicsforums.com/showthread.php?t=389293

Once I have found the reduxed density matrix

p_a with a basis of {
| 1 |
| 0 | }

and p_b with a basis of{

| -1/4(sqrt2) |
| 1 | }how do I finish off the problem to find the decomposition?
 

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