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�E�Fw��OY�S=�}�x�w�So�$�E���Zl8�v���O��s7����v��g���Η�� This relation is rooted in the fact that the basic playground of q-processing is the complex space H(n) generated by the set Bnof binary vectors of length n, which is the basic arena of classical computation. 3: More Basics of Quantum Mechanics : 4: Classical Computation Models and Quantum Gates (Courtesy of Moses Liskov. It includes numerous exercises and solutions for the student. Devices that perform quantum in-formation processing are known as quantum computers. endobj computing model. endobj 5: Quantum Circuits and a Simple Quantum Algorithm (Courtesy of Dion Harmon. Topological precision has been confirmed in quantum Hall liquids by experiments to an accuracy of $10^{-10}$, and harnessed to stabilize quantum memory. Later, when the qof q-processing is interpreted as genuine quantum feature, the Empowering the quantum revolution. xڭX�s�6��� �\@����2;�MY�6�IP�r��Fg��F��딘����4�0�����p���⓭��{�����3����I�s��=�;��L���r������d�����I$?a�P�Ԏ �a�GGH#K�0� tz`��$��E0���al!^s��͚ Th��|�!7��$�p�6C�-:�(sp���D��[�m�J�6d�WK��7A���c�c뭤��t#�2�B�����%�����*� '�� �w�c �dw�`����P�r�>�يU�$eHƍG[���9ד+xi,Y��&�92��[Jh~=�^�z>�.��Q�q+���V3^��s�\E����XJ1�U�^=�C���)be�U2�9����C�)��n�ՠ1�q�.�->��-�@���m�
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@��\��/��>6S�����.Ҍhw-od@���2�4iFx�� ޭ����_z1l 2 Basic notions of quantum information 58 2.1 Registers and states 58 2.1.1 Registers and classical state sets 58 2.1.2 Quantum states of registers 61 2.1.3 Reductions and puri cations of quantum states 67 2.2 Quantum channels 72 2.2.1 De nitions and basic notions concerning channels 72 2.2.2 Representations and characterizations of channels 77
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