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Results tagged with entanglement
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user 5823
For questions about the principle and application of quantum entanglement. It is a physical phenomenon which occurs when pairs or groups of particles are generated, interact, or share spatial proximity in ways such that the quantum state of each particle cannot be described independently of the state of the other(s), even when the particles are separated by a large distance—instead, a quantum state must be described for the system as a whole. (Wikipedia)
4
votes
1
answer
351
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What do entanglement cost and distillable entanglement have to do with measuring entanglement?
So far what I have learned is that von-Neumann entropy is a tool to measure or quantify information and therefore entanglement for a given pure state system. … However, similar concepts emerge from the task of measuring entanglement in general, which would be entanglement cost and distillable entanglement. …
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1
vote
How to prove the following bosonic entanglement expression?
We have,
\begin{equation}
\begin{aligned}
S &= - \operatorname { Tr } \left( \varrho \log _ { 2 } \varrho \right) = \log _ { 2 } \left( \frac { \left| \gamma _ { B } \right| ^ { \left( 2 \left| \gam …
- 235
2
votes
1
answer
54
views
How to prove the following bosonic entanglement expression?
Based on the article given by J. L. Ball, I. Fuentes-Schuller, and F. P. Schuller, Phys. Lett. A 359, 550 (2006)
had used the following expression of von-Neumann entropy
\begin{equation}
S = - \opera …
- 235
3
votes
0
answers
44
views
How we can describe entanglement from measurement and resource perspectives?
When we read books on quantum computing and information theory, specifically in entanglement we find some distinguishability between those who focus on entanglement as a resource or use it as an application … phenomenons (teleportation, superdense coding,..), and others study its measure (how long/far the state is still entangled) such as controlling satellites by sending entangled particles, because in this case entanglement …
- 235
1
vote
3
answers
1k
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How to prove teleportation does not violate no-cloning theorem?
For a given teleportation process as depicted in the figure, how one can say that teleporting the qubit state $|q\rangle$ has not cloned at the end of Bob's measurement?
- 235
2
votes
Accepted
How to prove teleportation does not violate no-cloning theorem?
I.e., if we have the entire initial state is written as follows
$$| q \rangle \otimes | \beta_{00} \rangle =(\alpha | 0\rangle+\beta | 1 \rangle ) \otimes \frac{1}{\sqrt{2}}( |00\rangle+| 11 \rangle)$ …
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