Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Forming the most general two qubit entangled state & parametrizing it.

  1. Apr 23, 2013 #1
    I have seen four two qubit entangled states of the form:

    $ \frac{1}{\sqrt{2}} \left | 00 \right > \pm \left | 11 \right >$

    $ \frac{1}{\sqrt{2}} \left | 01 \right > \pm \left | 10 \right >$

    I want to write a most general two qubit entangled state. I presume it can be of the form:

    $ \alpha \left | 00 \right > + \beta \left | 11 \right > + \gamma \left | 01 \right > + \delta \left | 10 \right >$

    where the $\alpha, \beta ...$ are complex numbers. If this is correct, How can I parametrize these constants using least number of free parameters?
     
  2. jcsd
  3. Apr 23, 2013 #2
    the states are orthogonal and you get for the normalization condition alpha^2+beta^2+gamma^2 +delta^2=1
    Hence alpha=sin x sin y sin z exp ia
    Beta=sin x sin y cos z exp ib
    Gamma=sin x cos y exp ic
    Delta=cos x exp id
    For example. Im not sure if its the most general form.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Forming the most general two qubit entangled state & parametrizing it.
  1. General 3 qubit states (Replies: 1)

Loading...