2009International Conference on Applied MathematicsRequires access

Quantum teleportation with non-maximal entangled state

Masanari Asano, Masanori Ohya

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Abstract

The quantum teleportation has been discussed by several articles, and in most of models, perfect quantum teleportation can be occured if the entangled state between Alice and Bob is maximal. Recently, Kossakowski and Ohya reformulated the teleportation process and proposed a new scheme of perfect teleportation where a non-maximal entangled state is used [3]. In this paper, we introduce two models designed according to the KO formalism. The first one is called m-level perfect teleportation. We show that a non-maximal entangled state used in this model is realizable in optical techniques. In the second model, a new operation is added to a conventional teleportation process, which is called and implemented before Alice's measurement. We show availabilities of the filtering for sucess probabilities of teleportation.

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The quantum teleportation has been discussed by several articles, and in most of models, perfect quantum teleportation can be occured if the entangled state between Alice and Bob is maximal. Recently, Kossakowski and Ohya reformulated the teleportation process and proposed a new scheme of perfect teleportation where a non-maximal entangled state is used [3]. In this paper, we introduce two models designed according to the KO formalism. The first one is called m-level perfect teleportation. We show that a non-maximal entangled state used in this model is realizable in optical techniques. In the second model, a new operation is added to a conventional teleportation process, which is called and implemented before Alice's measurement. We show availabilities of the filtering for sucess probabilities of teleportation.

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Available abstract

The quantum teleportation has been discussed by several articles, and in most of models, perfect quantum teleportation can be occured if the entangled state between Alice and Bob is maximal. Recently, Kossakowski and Ohya reformulated the teleportation process and proposed a new scheme of perfect teleportation where a non-maximal entangled state is used [3]. In this paper, we introduce two models designed according to the KO formalism. The first one is called m-level perfect teleportation. We show that a non-maximal entangled state used in this model is realizable in optical techniques. In the second model, a new operation is added to a conventional teleportation process, which is called and implemented before Alice's measurement. We show availabilities of the filtering for sucess probabilities of teleportation.

Key concepts: Quantum teleportation, Teleportation, Superdense coding, No-teleportation theorem, Formalism (music), Quantum channel, Quantum mechanics, Physics

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