wam_mi
Nov4-09, 02:35 PM
1. The problem statement, all variables and given/known data
Suppose we define states [0] and [1] be the basis which [0] = (1,0) and [1] = (0,1).
There are two things I want to ask. Are the following states product or entangled states?
(i) [Xi] = \frac{1}{2} ([00] + [01] + [10] - [11])
(ii) [Xi] = \frac{1}{\sqrt{10}} ([01] + 3 [10])
2. Relevant equations
3. The attempt at a solution
I understand that [Xi] = \frac{1}{2} ([00] + [01] + [10] + [11]) is a product state, since it can be represented by the tensor products between two qubits. But I just can't see what the answers are for the questions I stated at above. Hm... I guess they're both entangled, am I wrong?
Suppose we define states [0] and [1] be the basis which [0] = (1,0) and [1] = (0,1).
There are two things I want to ask. Are the following states product or entangled states?
(i) [Xi] = \frac{1}{2} ([00] + [01] + [10] - [11])
(ii) [Xi] = \frac{1}{\sqrt{10}} ([01] + 3 [10])
2. Relevant equations
3. The attempt at a solution
I understand that [Xi] = \frac{1}{2} ([00] + [01] + [10] + [11]) is a product state, since it can be represented by the tensor products between two qubits. But I just can't see what the answers are for the questions I stated at above. Hm... I guess they're both entangled, am I wrong?