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  2. Quantum entanglement - Wikipedia

    en.wikipedia.org/wiki/Quantum_entanglement

    Quantum entanglement is the phenomenon of a group of particles being generated, interacting, or sharing spatial proximity in such a way that the quantum state of each particle of the group cannot be described independently of the state of the others, including when the particles are separated by a large distance.

  3. Quantum teleportation - Wikipedia

    en.wikipedia.org/wiki/Quantum_teleportation

    Schematic video demonstrating individual steps of quantum teleportation. A quantum state Q is sent from station A to station B using a pair of entangled particles created by source S. Station A measures its two particles and communicates the result to station B, which chooses an appropriate device based on the received message.

  4. Entropy of entanglement - Wikipedia

    en.wikipedia.org/wiki/Entropy_of_entanglement

    Suppose that a quantum system consists of particles. A bipartition of the system is a partition which divides the system into two parts and , containing and particles respectively with + =. Bipartite entanglement entropy is defined with respect to this bipartition.

  5. Bell state - Wikipedia

    en.wikipedia.org/wiki/Bell_state

    Quantum teleportation is the transfer of a quantum state over a distance. It is facilitated by entanglement between A, the giver, and B, the receiver of this quantum state. This process has become a fundamental research topic for quantum communication and computing.

  6. Entanglement swapping - Wikipedia

    en.wikipedia.org/wiki/Entanglement_swapping

    This effect happens without any previous direct interaction between particles A and D. [2] [3] Entanglement swapping is a form of quantum teleportation. In quantum teleportation, the unknown state of a particle can be sent from one location to another using the combination of a quantum and classical channel.

  7. Entanglement of formation - Wikipedia

    en.wikipedia.org/wiki/Entanglement_of_formation

    For a pure bipartite quantum state | , using Schmidt decomposition, we see that the reduced density matrices of systems A and B, and , have the same spectrum. The von Neumann entropy S ( ρ A ) = S ( ρ B ) {\displaystyle S(\rho _{A})=S(\rho _{B})} of the reduced density matrix can be used to measure the entanglement of the state | ψ A B ...

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  9. W state - Wikipedia

    en.wikipedia.org/wiki/W_state

    Particles prepared in this state reproduce the properties of Bell's theorem, which states that no classical theory of local hidden variables can produce the predictions of quantum mechanics [1]. The state is named after W olfgang Dür, who first reported the state together with Guifré Vidal , and Ignacio Cirac in 2000 [ 2 ] .