Quantum Information Theory and Geometry of Quantum States |

M. Ku¶Centrum Fizyki Teoretycznej, Polska Akademia Nauk, al. Lotników 32/46, 02-668 Warszawa, Poland |

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Received: November 5, 2001 |

The advantages of quantum information processing and transmission over corresponding classical operations are connected to the existence in composite quantum-mechanical systems states without classical counterparts --- the so-called entangled states. The paper shows and examines various applications of entangled states in the quantum information theory. Recent results connected with characterization and geometry of entangled states are examined with the emphasis on some unsolved mathematical problems. |

DOI: 10.12693/APhysPolA.100.43 PACS numbers: 03.65.Ud, 03.67.--a |