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Antilinearity in Bipartite Quantum Systems and Imperfect Quantum Teleportation

Armin Uhlmann
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Abstract

Antilinearity is quite natural in bipartite quantum systems. There is a one-to-one correspondence between vectors and certain antilinear maps, here called EPR-maps. Some of their properties and uses, including the factorization of quantum teleportation maps, is explained. There is an elementary link to twisted Kronecker products and to the modular objects of Tomita and Takesaki.

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Armin Uhlmann. 2004-07-29. Antilinearity in Bipartite Quantum Systems and Imperfect Quantum Teleportation. https://arxiv.org/abs/quant-ph/0407244

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