What is entanglement purification and how does it work?

In summary, entanglement purification is a process where two entangled states are shared, and one of the systems in one entangled state is sent through a noisy quantum channel. This requires the use of a density operator and certain local actions allow for teleportation of the state of another system onto the system sent through the channel. However, this process is only successful some of the time. It is not possible to create entanglement by coupling a system in superposition with a system in a definite state. Additionally, it is not possible to entangle two systems if any of their physical properties are in a definite state, or to entangle a specific physical property of two systems if both systems are in a definite state for that property. There
  • #1
StevieTNZ
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I was hoping if someone could briefly explain entanglement purification. I’ve read http://www.lsr.ph.ic.ac.uk/~plenio/cp394311998.pdf , but because I’m not mathematically inclined most of it isn’t sinking in.

What I gather is in the beginning you share two entangled states, and one of the systems part of one entangled state is sent through a noisy quantum channel. This of course requires the use of a density operator (I gather in principle it is still in a pure state?), and so doing certain local actions allows one to teleport the state of another system onto the system sent through the quantum channel?

I gather this only successfully occurs some of the time. So it’s not that we create entanglement from one system being in superposition and coupling it to a system in a mixed (definite state), resulting in both systems being entangled? (can you even entangle two systems if any of its physical properties are in a definite state? Or entangle a certain physical property of two systems, if both systems are in a definite state in regards to that physical property)
 
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@StevieTNZ did you find any more insight on this topic?
 

FAQ: What is entanglement purification and how does it work?

What is entanglement purification?

Entanglement purification is a process in quantum information science where the quality of an entangled quantum state is improved by removing any unwanted noise or imperfections.

Why is entanglement purification important?

Entanglement is a key resource in quantum computing and communication, and its quality can degrade over time due to environmental noise. Entanglement purification is therefore crucial in maintaining the integrity of quantum information and ensuring the accuracy of quantum computations and communications.

How does entanglement purification work?

Entanglement purification involves a series of operations, such as measurements and quantum gates, that selectively remove unwanted noise from an entangled state. These operations are based on quantum error correction codes and can be performed on both physical qubits and logical qubits.

What are the challenges in entanglement purification?

One of the main challenges in entanglement purification is the trade-off between the amount of entanglement that can be purified and the level of noise that can be removed. In addition, the complexity and resource requirements of purification protocols can also be a challenge.

How is entanglement purification used in practical applications?

Entanglement purification has applications in quantum communication, quantum cryptography, and quantum error correction. It is also important in the development of quantum networks and the realization of quantum information processing tasks, such as teleportation and super-dense coding.

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