Lecture Notes and Reading Material We have online access to IEEE and ACM publications ... Watrous notes [1, 2] Shor PW. 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… 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_$�Y�Β-��h�8H9����>�����ڐ�j��^}E){8�C&�� �����2�N�k4,�x�G 6�,�P�L����E�I�S ?�镕yX�qLj�l^� [�@�2�y�ܬ�؝S�B���YK��������`8��}ߌxnjy'~��s��Wr%;�)�Q�J��I�? %PDF-1.5 %���� View Notes - MIT8_06S16_chap3 from PHYSICS 8.06 at Massachusetts Institute of Technology. Happy new year! In these lectures I give an introduction to the quantum physics of black holes, including recent developments based on quantum information theory such as the firewall paradox and its various cousins. ��c��@�����)�22fb������xf��Ay����#對T'kf��ڪ��q�6i=�����[iZ�_����+ୗ`焯. research interests: quantum algorithms, information and complexity theory; representation theory; optimization. Aram Harrow; Associate Professor of Physics Center for Theoretical Physics. bR��A�$A�qQ\�����1dW���������� WL�� �Qt]�s?��?��;B���+g�����PN8���֒J�d[i�R���rJ����P�$�P��*%*�����i� endstream endobj startxref 8.06 Spring 2016 Lecture Notes 1. ?F�"�Y��g`Y�{c�}ٵC^OuA��따����3g�/>1�”O�q|:�Y�2^K�����~?����4�X?�S��Q�@�����G0��`v�C� )�x The Quantum Schur Transform: I. $��,a`bd`l ���8����bw �"r ����# �`3{4"HKȒʀ��zC�Tt^��g?�t��9aJ��/�혳���5u�l��G�������«���9{'ƞ�⡍K�8Z'�&Cv�4��tj�MF҇0,w-4��QBj!����aA�X����$'�/5��]˷���a�*v�� m ơ�:�O��o����yA�c���-ja�t�(� J��u7�n7�f�$z��8��6�J��1!���0�� 508 0 obj <>/Filter/FlateDecode/ID[<60D975EE1CEFBCE8B96B2725D4181319>]/Index[496 50]/Info 495 0 R/Length 82/Prev 510551/Root 497 0 R/Size 546/Type/XRef/W[1 3 1]>>stream 8.06 Spring 2016 Lecture Notes 2. Lectures: Fri, 3 Nov: Introduction to convex optimization, separable states and nonlocal games. H�ܓMO�0��J�ɡ!�c��r%7@��a˴�U�!~>�X[�q)�l9n� ����lD�4�������j�8c���UfsY�mq����2D��N�L Problem set 0 - ungraded, diagnostic survey Problem set 1. h�bbd```b``��[@$�0)@$c�� Approximate methods for time-independent Hamiltonians Aram Harrow Last updated: February 17, 2016 Contents 1 … H�ܔ�N�0@���бә� 5�p3���������]CL3�t2�{i���B5��"� Y��Z�i2����������*a��1����B L/ ��Jk5i}�6��rIszȞ{Z׺ݦ�A~ㅥw���;��kHے��~ 0 �7 ]��T���2�J�������k7�mqW}n�@火 � View Notes - MIT8_06S16_chap2 from PHYSICS 8.06 at Massachusetts Institute of Technology. Lecture: MW9:30-11 (2-190) Instructor: Aram W Harrow Office hours: MW 11-12, 6-416a TA: Saeed Mehraban Office hours: Th 3-4, location 24-317 Videos and online problem sets can be found at the MITx site. h�b```���l��@(������������$������$Z9XX��j����3�i1+���o��8,�`"��������7|�,��x�&`����y1�'�\7��;|/ܽ����,�y#��H��k�#��]]�t���YǍt��4�]vl燯og]� Lecturer: Daniel A. Spielman: 8: The Valiant-Vazirani Theorem Universal Hash Functions … First, a correction. 496 0 obj <> endobj 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. 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. :����/W���>g]��5=��buЪ_ܥ�{.z�ղ~?�`��3���v����h[��g��U��j7�^�ݺ��c�K�vW�)Fi��_����5�%��{�#�_�1�M�0A0�;���@,Ja����@��j��3̱�n����Fw/l��>�yk�CE�'o.�#��&�dn^8S�޺��sj8^�،�o�t-������"�@����D�6\U�L D�� � ҙ�� Aram Harrow's research focuses on quantum information and computing. endstream endobj 662 0 obj <>stream 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 … Comments: Lecture notes for the 5th Summer School on Mathematical Physics at the Universidad de Los Andes, Bogot\'a, Colombia this http URL. �a�I�� ����dGuE ���֖����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. Quantum Computation Lecture Notes - John Preskill; Online Courses and Lecture Series. endstream endobj 497 0 obj <> endobj 498 0 obj <>/ProcSet[/PDF/Text]>>/Rotate 0/StructParents 0/Type/Page>> endobj 499 0 obj <>stream Time-dependent approximation methods Aram Harrow … ��7ұj����}��c�mb[�3�u�]:?�7������q�� 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] Instructors: Aram Harrow and Anand Natarajan. 8.06 Spring 2016 Lecture Notes 2. 0 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��� %%EOF �4>��I��'ꬂ����.� ���l1�Ux/�Ph�z^�ҁG%��P5p�J! 0 �~��}�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$��� b�%t��-� h�>�7���@��w�!���#U�������z)���~1 {A{e���[���ԍ�א��<>�/v��;��. 8.06 Spring 2016 Lecture Notes 3. 658 0 obj <> endobj We are using Piazza for discussions. H��SMo�0�+���ַ�(�ZM2 ��X��GEN�t+ Part (a) due Fri, Feb 16. endstream endobj 659 0 obj <> endobj 660 0 obj <>/ProcSet[/PDF/Text]>>/Rotate 0/StructParents 0/Type/Page>> endobj 661 0 obj <>stream I also give an introduction to holography and the AdS/CFT correspondence, focusing on those aspects which are relevant for the black hole information problem. endstream endobj 663 0 obj <>stream Here are the Lecture 1 slides (Chapter 0), and now some special bonus notes, like the extra features on a DVD. Assignments . h�bbd```b``���A$S%�d��@��,��H2�0��� �j+�4� endstream endobj startxref 728 0 obj <>stream %PDF-1.5 %���� %%EOF Time-dependent approximation methods Aram Harrow Last updated: March 12, 2016 Contents 1 Time-dependent perturbation theory 1 679 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 Lecture Notes in Computer Science 8572 Commenced Publication in 1973 Founding and Former Series Editors: ... Subline of Lectures Notes in Computer Science Subline Series Editors ... Harrow,Aram Harsha,Prahladh Hatami,Hamed Haviv,Ishay Hayes,Thomas Hazay,Carmit He,Meng Heam,Pierre-Cyrille 545 0 obj <>stream ����q?d_h^�~IX��p���[����I��%"�:��8���� ���R��z�j��!��xO Efficient Qudit Circuits Authors: Dave Bacon, Isaac L. Chuang, Aram W. Harrow &?�I0�&��H�Z��"B�$��'��e "m�H� q}[[�H�;r�����Il;�(�������"@� ݹ� Thanks to the hard work and good timing of coauthor Aram Harrow, we were able to get the first paper of the new year on quant-ph: quant-ph/0601001. Entanglement, density matrices and decoherence Aram W. Harrow …