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arXiv:quant-ph/0307043

Two-way teleportation

Andrzej Grudka, Ravindra W. Chhajlany

Published Jul 7, 2003• 0 citations
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Abstract

A protocol for teleporting two qudits simultaneously in opposite directions using a single pair of maximally entangled qudits is presented. This procedure works provided that the product of dimensions of the two qudits to be teleported does not exceed the dimension of the individual qudits in the maximally entangled pair.
DOI
10.48550/arxiv.quant-ph/0307043

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Facul t y of P hy si cs, A da m Mi cki ewi cz Uni versi ty Um ultowsk a 85, 61-61 4 Po zna¥, Pol and ( Recei ved A ugust 18, 2 003) A proto col for t elep ort i ng t w o qudit s simult aneousl y in opposite directions using a single pair of ma ximall y entangled qudits is presented .T his pro cedure w or ks pro vided that the pro duct of dimensi ons d 1 and d 2 of the tw o qudits to be telep orted do es not exceed the dimension d of the indiv id ual qudits in the maximall y entangled pair.PAC S numb ers: 03.67.{a

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Quantum Teleportation, the transfer of the state of one quantum system to another without direct interaction between both systems, is an important way to transmit information encoded in quantum states and to generate quantum correlations (entanglement) between remote quantum systems. So far, for photons, only superpositions of two distinguishable states (one "qubit") could be teleported. Here we show how to teleport a "qudit", i.e. a superposition of an arbitrary number d of distinguishable states present in the orbital angular momentum of a single photon using d beam splitters and d additional entangled photons. The same entanglement resource might also be employed to collectively teleport the state of d/2 photons at the cost of one additional entangled photon per qubit. This is superior to existing schemes for photonic qubits, which require an additional pair of entangled photons per qubit.
We describe a protocol in which two senders each teleport a qubit to a receiver using a multiqubit entangled state. The multiqubit channel used for teleportation is genuinely 4-qubit entangled and is not equivalent to a product of maximally entangled Bell pairs under local unitary operations. We discuss a scenario in which both senders must participate for the qubits to be successfully teleported. Such an all-or-nothing scheme cannot be implemented with standard two-qubit entangled Bell pairs and can be useful for different communication and computing tasks.
Facul t y of P hy si cs, A da m Mi cki ewi cz Uni versi ty Um ultowsk a 85, 61-61 4 Po zna¥, Pol and ( Recei ved A ugust 18, 2 003) A proto col for t elep ort i ng t w o qudit s simult aneousl y in opposite directions using a single pair of ma ximall y entangled qudits is presented .T his pro cedure w or ks pro vided that the pro duct of dimensi ons d 1 and d 2 of the tw o qudits to be telep orted do es not exceed the dimension d of the indiv id ual qudits in the maximall y entangled pair.PAC S numb ers: 03.67.{a