All Questions
8
questions
2
votes
2
answers
102
views
How to determine parameters such that the state $|\psi\rangle=\frac1{\sqrt2}|+\rangle|+\rangle+a|+\rangle|x+\rangle+b|-\rangle|-\rangle$ is separable?
Suppose that two spin-1/2 are in the state:
$$ |\psi \rangle = \frac{1}{\sqrt{2}} |+\rangle|+\rangle + a|+\rangle|x+\rangle + b|-\rangle|-\rangle $$
and we want to find values for a & b such that ...
- 189
3
votes
1
answer
88
views
Why is the entanglement of formation upper bounded by the Schmidt number?
I have read many times in several articles (such as https://arxiv.org/abs/1609.05033) that the entanglement of formation EoF puts a lower bound on entanglement dimensionality $d$ (i.e., the Schmidt ...
- 237
0
votes
0
answers
40
views
Why aren't states with 3 basis vectors considered entanglements in two qubit system?
I am going to take out normalization factors for simplicity.
$$|00⟩+|11⟩$$
$$|00⟩−|11⟩$$
$$|10⟩+|01⟩$$
$$|10⟩−|01⟩$$
I can see why these states are entangled but I don't see why the following states ...
0
votes
2
answers
46
views
What is the dimension of two quantum systems with bases $\{a_1,a_2\}$ and $\{b_1,b_2,b_3\}$, combined? [closed]
Quantum system A has a basis $\{a_1, a_2\}$. System B has a basis $\{b_1, b_2, b_3\}$. A and B evolve according to their own Hamiltonian and do not interact at all. If I consider A and B as one large ...
- 843
0
votes
1
answer
221
views
How to take partial inner product between tensor product states and GHZ state?
I am trying to solve some problems in which 3 people (Alice, Bob and Charlie) share 3 photons entangled in the state $|GHZ\rangle$ and Alice and Bob perform some joint measurement on $|GHZ\rangle$. I ...
- 103
2
votes
1
answer
715
views
3 qubit maximally entangled state $\frac{1}{2}(|000\rangle + |110\rangle+ |011\rangle + |101\rangle)$
Is there any general criteria for maximal entanglement in 3 qubit system. I have encountered this problem-"Suppose you have a state $\frac{1}{2}(|000\rangle + |110\rangle+ |011\rangle + |101\...
1
vote
1
answer
2k
views
Schmidt decomposition of entangled state [closed]
I have a problem with some homework our teacher assigned. I have to find the Schmidt decomposition of the entangled state
$$\lvert\psi\rangle_{A,B}=\frac{1}{2}\lvert0\rangle_{A}\lvert0\rangle_{B}-\...
3
votes
1
answer
686
views
What is meant by a quantum factoring for entangled states?
The definition of an entangled state $|\Psi\rangle$ is that it CANNOT be factored into
$$|\Psi\rangle=|\psi\rangle_1\otimes|\phi\rangle_2$$
I am kind of confused on what is meant by a quantum ...
- 1,788