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In , when Dzhugashvili had reached the age of fourteen, he was brought to Moscow, where his father had become a leading figure in the Bolshevik government who eventually became head of the Soviet Union.

Disregarded by Stalin, Dzhugashvili was a shy, quiet child who appeared quite unhappy and tried to commit suicide several times as a youth.

Married twice, Dzhugashvili had three children, two of whom reached adulthood. Dzhugashvili studied to become an engineer, then — on his father's insistence — he enrolled in training to be an artillery officer.

He finished his studies weeks before Nazi Germany invaded the Soviet Union in Sent to the front, he either surrendered or was captured by the Germans, and was held as a prisoner.

He died at the Sachsenhausen concentration camp in It is not clear whether he committed suicide or was killed by camp guards. In , Dzhugashvili was brought to Moscow to live with his father and two half-siblings, Svetlana and Vasily.

This proved difficult for Dzhugashvili as he did not understand Russian and his father was hostile to him, even forbidding Dzhugashvili to adopt the name "Stalin.

Though Dzhugashvili was interested in studying at a university, Stalin did not initially allow it, and it was not until when he was 23 that Dzhugashvili was admitted.

Dzhugashvili's first serious relationship was with Zoya Gunina, the daughter of an Orthodox priest and a former classmate of his.

In , Dzhugahsvili made it known that he wanted to marry Zoya, who was then sixteen. Stalin became enraged at the idea and in response Dzhugashvili attempted suicide, shooting himself in the chest and narrowly missing his heart.

However, Dzhugashvili was shy around her so she instead married Evgeni Mikeladze , a prominent orchestra conductor , earning ridicule from Stalin.

They became engaged but soon that ended and she returned to her home in the Stalingrad Oblast. Dzhugashvili married Yulia Meltzer , a well-known Jewish dancer from Odessa.

Stalin ensured that Dzughashvili and Artyom Sergeyev , his adopted son and fellow artillery officer, went to the front lines. The order was given to retreat.

But Yakov did not obey the order. Later sections review more compact notations. This qubit can be written generally, in bra—ket notation , as:.

The subscript C above is used only to distinguish this state from A and B , below. Next, the protocol requires that Alice and Bob share a maximally entangled state.

This state is fixed in advance, by mutual agreement between Alice and Bob, and can be any one of the four Bell states shown. It does not matter which one.

This is implemented by preparing the particles together and shooting them to Alice and Bob from a common source. The subscripts A and B in the entangled state refer to Alice's or Bob's particle.

At this point, Alice has two particles C , the one she wants to teleport, and A , one of the entangled pair , and Bob has one particle, B. In the total system, the state of these three particles is given by.

Alice will then make a local measurement in the Bell basis i. To make the result of her measurement clear, it is best to write the state of Alice's two qubits as superpositions of the Bell basis.

This is done by using the following general identities, which are easily verified:. One applies these identities with A and C subscripts.

The total three particle state, of A , B and C together, thus becomes the following four-term superposition:. The above is just a change of basis on Alice's part of the system.

No operation has been performed and the three particles are still in the same total state. The actual teleportation occurs when Alice measures her two qubits A,C, in the Bell basis.

Experimentally, this measurement may be achieved via a series of laser pulses directed at the two particles [ citation needed ].

Given the above expression, evidently the result of Alice's local measurement is that the three-particle state would collapse to one of the following four states with equal probability of obtaining each :.

Alice's two particles are now entangled to each other, in one of the four Bell states , and the entanglement originally shared between Alice's and Bob's particles is now broken.

Bob's particle takes on one of the four superposition states shown above. Note how Bob's qubit is now in a state that resembles the state to be teleported.

The four possible states for Bob's qubit are unitary images of the state to be teleported. The result of Alice's Bell measurement tells her which of the above four states the system is in.

She can now send her result to Bob through a classical channel. Two classical bits can communicate which of the four results she obtained.

After Bob receives the message from Alice, he will know which of the four states his particle is in. Teleportation is thus achieved. Alice's state in qubit 2 is transferred to Bob's qubit 0 using a priorly entangled pair of qubits between Alice and Bob, qubits 1 and 0.

There are a variety of different notations in use that describe the teleportation protocol. One common one is by using the notation of quantum gates.

In the above derivation, the unitary transformation that is the change of basis from the standard product basis into the Bell basis can be written using quantum gates.

Direct calculation shows that this gate is given by. Teleportation can be applied not just to pure states, but also mixed states , that can be regarded as the state of a single subsystem of an entangled pair.

The so-called entanglement swapping is a simple and illustrative example. If Alice has a particle which is entangled with a particle owned by Bob, and Bob teleports it to Carol, then afterwards, Alice's particle is entangled with Carol's.

A more symmetric way to describe the situation is the following: Alice has one particle, Bob two, and Carol one.

Alice's particle and Bob's first particle are entangled, and so are Bob's second and Carol's particle:.

Now, if Bob does a projective measurement on his two particles in the Bell state basis and communicates the results to Carol, as per the teleportation scheme described above, the state of Bob's first particle can be teleported to Carol's.

Although Alice and Carol never interacted with each other, their particles are now entangled. A detailed diagrammatic derivation of entanglement swapping has been given by Bob Coecke , [41] presented in terms of categorical quantum mechanics.

An important application of entanglement swapping is distributing Bell states for use in entanglement distributed quantum networks. A technical description of the entanglement swapping protocol is given here for pure bell states.

The basic teleportation protocol for a qubit described above has been generalized in several directions, in particular regarding the dimension of the system teleported and the number of parties involved either as sender, controller, or receiver.

All possible such generalizations were discussed by Werner in The use of multipartite entangled states instead of a bipartite maximally entangled state allows for several new features: either the sender can teleport information to several receivers either sending the same state to all of them which allows to reduce the amount of entanglement needed for the process [45] or teleporting multipartite states [46] or sending a single state in such a way that the receiving parties need to cooperate to extract the information.

This is one of the foundational building blocks of quantum information processing. This is demonstrated below. A general teleportation scheme can be described as follows.

Three quantum systems are involved. The total system is then in the state. This describes the channel in the Schrödinger picture.

To begin teleportation, Alice performs a local measurement on the two subsystems 1 and 2 in her possession.

Assume the local measurement have effects. On the combined system, this is described by. As stated above, the teleportation is said to be successful if, for all observable O on Bob's system, the equality.

Assuming all objects are finite dimensional, this becomes. A local explanation of quantum teleportation is put forward by David Deutsch and Patrick Hayden , with respect to the many-worlds interpretation of quantum mechanics.

Their paper asserts that the two bits that Alice sends Bob contain "locally inaccessible information" resulting in the teleportation of the quantum state.

From Wikipedia, the free encyclopedia. Physical phenomenon. This article includes a list of general references , but it remains largely unverified because it lacks sufficient corresponding inline citations.

Please help to improve this article by introducing more precise citations. June Learn how and when to remove this template message.

Bibcode : Natur. Bennett , G. Peres , W. Wootters Bibcode : PhRvL.. Wootters of Williams College But apparently, there was no better name for the interesting theoretical discovery these scientists made, and it was a very fitting name indeed.

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