���֖����k�����kn�z��]m%�N�jw�7���n�G4���4�y�؝Q��*�X�^�ym�e- 7���+���mU�Y����u�D�شU�Z?�1�Jz��i�9�%����y��?(���f�֖�W>��\�~hҎ�k�g|[�]f�s�����4����iZ~�;��. I've written semi-technical overviews of quantum information for CS undergrads and MIT physics alumni. View Notes - MIT8_06S16_chap3 from PHYSICS 8.06 at Massachusetts Institute of Technology. Aram Harrow's research focuses on quantum information and computing. Part (a) due Fri, Feb 16. As a graduate student, Harrow developed the idea of "coherent classical communication", which along with his work on the resource inequality method, has greatly simplified ou… Here are the Lecture 1 slides (Chapter 0), and now some special bonus notes, like the extra features on a DVD. 8.06 Spring 2016 Lecture Notes 1. bR��A�$A�qQ\�����1dW���������� WL�� �Qt]�s?��?��;B���+g�����PN8���֒J�d[i�R���rJ����P�$�P��*%*�����i� h�b```���l��@(������������$������$Z9XX��j����3�i1+���o��8,�`"��������7|�,��x�&`����y1�'�\7��;|/ܽ����,�y#��H��k�#��]]�t���YǍt��4�]vl燯og]� ]��T���2�J�������k7�mqW}n�@火 � Lecture Notes and Reading Material We have online access to IEEE and ACM publications ... Watrous notes [1, 2] Shor PW. H��Wm��6�+i��[�!�{*D�q���R�VE*WU�Ļ�6���X���w���v�p-�C���:~��gf�����;wn?������w���{���-�x�K��_䩗��O��[T�s��A:�GA�N7��V4�f��Z����~���;o���q���‚�q6�����l���){U�¸í4k5��l���Ri�����ƮKux���h�ƨ�iGϸǹ_$�Y�Β-��h�8H9����>�����ڐ�j��^}E){8�C&�� �����2�N�k4,�x�G 6�,�P�L����E�I�S ?�镕yX�qLj�l^� [�@�2�y�ܬ�؝S�B���YK��������`8��}ߌxnjy'~��s��Wr%;�)�Q�J��I�? �4>��I��'ꬂ����.� ���l1�Ux/�Ph�z^�ҁG%��P5p�J! endstream endobj startxref endstream endobj 497 0 obj <> endobj 498 0 obj <>/ProcSet[/PDF/Text]>>/Rotate 0/StructParents 0/Type/Page>> endobj 499 0 obj <>stream In "Algorithms for quantum computation: Discrete logarithms and factoring." Aram Wettroth Harrow (born 1980) is an Associate Professor of Physics in the Massachusetts Institute of Technology's Center for Theoretical Physics.. Harrow works in quantum information science and quantum computing. 728 0 obj <>stream h�bbd```b``��[@$�0)@$c�� Lecturer: Daniel A. Spielman: 8: The Valiant-Vazirani Theorem Universal Hash Functions … endstream endobj 659 0 obj <> endobj 660 0 obj <>/ProcSet[/PDF/Text]>>/Rotate 0/StructParents 0/Type/Page>> endobj 661 0 obj <>stream 679 0 obj <>/Filter/FlateDecode/ID[<23EDF048D52ED4419400E65509B6BA41>]/Index[658 71]/Info 657 0 R/Length 110/Prev 598206/Root 659 0 R/Size 729/Type/XRef/W[1 3 1]>>stream Time-dependent approximation methods Aram Harrow … Approximate methods for time-independent Hamiltonians Aram Harrow Last updated: February 17, 2016 Contents 1 … &?�I0�&��H�Z��"B�$��'��e "m�H� q}[[�H�;r�����Il;�(�������"@� ݹ� 0 He works to understand the capabilities of the quantum computers and quantum communication devices we will build in the future, and in the process, he creates connections to other areas of theoretical physics, mathematics and computer science. First, a correction. %%EOF h�b```��,@��Y8Eg�^�p��݆�� �%��400LcHK0hPZ"$�j�d�(��rAK�L��a�\�����m3][,�l����[�z8��HR�u5}ݥ�ի|[��7�v��n�� ��L�zvخ�dY�����5�B�I ��*}�9!�HD`V�ω9���f�V�U��>sH6Y�����\s=l�R�$p���g���ӋNIs �a����m^�"z�hLu�:�r�v�%'2\�T� �Z,�ᚻ�e��^�� 8e8@��F0bb����4��b������A�'ȺI��Ƣ�l�6q;V�9~w��[:u��:!�k�e��'��}AH'�$��d`_���xL�t��y�x��e`?�"��` 7��� research interests: quantum algorithms, information and complexity theory; representation theory; optimization. �~��}�V@��a9���(���dK�.��r������ko*�"��h>3�>La�x|HV��#��/R��#��g����2;�?�ߕ�ɻ� ��}^��מ}tmeק�h��GБ��V��#`��{GQ�wUs�>j�oR�m�7�ye�r���~��u$��� b�%t��-� h�>�7���@��w�!���#U�������z)���~1 {A{e���[���ԍ�א��<>�/v��;��. 508 0 obj <>/Filter/FlateDecode/ID[<60D975EE1CEFBCE8B96B2725D4181319>]/Index[496 50]/Info 495 0 R/Length 82/Prev 510551/Root 497 0 R/Size 546/Type/XRef/W[1 3 1]>>stream I also give an introduction to holography and the AdS/CFT correspondence, focusing on those aspects which are relevant for the black hole information problem. endstream endobj 662 0 obj <>stream 8.06 Spring 2016 Lecture Notes 3. 658 0 obj <> endobj �a�I�� ����dGuE 496 0 obj <> endobj ?F�"�Y��g`Y�{c�}ٵC^OuA��따����3g�/>1�”O�q|:�Y�2^K�����~?����4�X?�S��Q�@�����G0��`v�C� )�x Aram Harrow; Associate Professor of Physics Center for Theoretical Physics. Entanglement, density matrices and decoherence Aram W. Harrow … L/ ��Jk5i}�6��rIszȞ{Z׺ݦ�A~ㅥw���;��kHے��~ 0 �7 H�ܓMO�0��J�ɡ!�c��r%7@��a˴�U�!~>�X[�q)�l9n� ����lD�4�������j�8c���UfsY�mq����2D��N�L Guest lecture (Aram Harrow): Entanglement of pure states [PS#5 out] [T 13-Nov] Guest lecture (Aram Harrow): distillation & dilution; entanglement of mixed states [PS#4 due] [R 15-Nov] Lecture 15: Quantum cryptography; BB84, Ekert protocol, privacy and coherent information [T 20-Nov] h�bbd```b``���A$S%�d��@��,��H2�0��� �j+�4� View Notes - MIT8_06S16_chap2 from PHYSICS 8.06 at Massachusetts Institute of Technology. 8.06 Spring 2016 Lecture Notes 2. Aram pointed out that I said the FERMIAC was built before the ENIAC , but in reality, Fermi designed and built it during the period when … Lecture: MW9:30-11 (2-190) Instructor: Aram W Harrow Office hours: MW 11-12, 6-416a TA: Saeed Mehraban Office hours: Th 3-4, location 24-317 Videos and online problem sets can be found at the MITx site. In these lectures I give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the firewall paradox and its various cousins. ��c��@�����)�22fb������xf��Ay����#對T'kf��ڪ��q�6i=�����[iZ�_����+ୗ`焯. 0 H��SMo�0�+���ַ�(�ZM2 ��X��GEN�t+ endstream endobj startxref %PDF-1.5 %���� ����q?d_h^�~IX��p���[����I��%"�:��8���� ���R��z�j��!��xO

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