Pure qubit question

  • Thread starter begyu85
  • Start date
  • #1
5
0
Hi,

One can describe a pure qubit in two ways (onto the bloch-sphere): 1.) one take a ([tex]\alpha,\beta[/tex]) , where [tex]\alpha,\beta[/tex] are complex numbers and [tex]\left|\alpha\right|^{2}+\left|\beta\right|^{2}=1[/tex]. 2.) with a real 3-dimensional unit vector.

Bob wants that Alice generate one million random ([tex]\alpha,\beta[/tex]) qubit to him. Alice generates rather one million real unit vectors and after this she enumerates this unit vectors to ([tex]\alpha,\beta[/tex]) one by one.

My question is: Did Alice fulfill Bob's demand? Are Bob going to accept Bob's qubits..?
 

Answers and Replies

  • #2
jimgraber
Gold Member
247
18
How did Alice generate those "random" 3D real unit vectors?
How does Bob generate random alpha beta pairs?
I assume you want uniform coverage of the Bloch sphere in both cases.
If so, Bob should not be able to tell the difference.
Just my $.02
Best,
Jim Graber
 
  • #3
5
0
Yes, the distribution of the random qubits is uniform...

My first thought was this what you are saying...but is this answer correct? I mean this would be so simple...

In the first case i will get some statistics, and i have to transform to an other one.. Question: does this transformation (between the representation of the qubits) preserve the features of the statistics... ?
 

Related Threads on Pure qubit question

  • Last Post
Replies
11
Views
1K
  • Last Post
Replies
4
Views
776
Replies
6
Views
2K
  • Last Post
Replies
2
Views
2K
Replies
4
Views
3K
Replies
0
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
4
Views
808
  • Last Post
2
Replies
27
Views
2K
  • Last Post
Replies
6
Views
924
Top