PPT-Quantum information as

highdimensional geometry Patrick Hayden McGill University Perspectives in High Dimensions Cleveland August 2010 Motivation 1m 1nm Outline The onetime pad classical and quantum Argument from measure concentration. a waveform. Introduction. What’s the problem? . Standard quantum limit (SQL) for force detection. The right wrong story. Beating the SQL. Three strategies. Carlton M. Caves. Center for Quantum Information and Control, University . and the monogamy of entanglement. Aram . Harrow (MIT). Brown SUMS. March 9, 2013. Quantum mechanics. QM has also explained:. the stability of atoms. the photoelectric effect. e. verything else we’ve looked at. Chris. Monroe. University of Maryland. Department of Physics. National Institute of. Standards and Technology. Putting Weirdness to Use. atom-sized . transistors. 2040 . molecular-sized . transistors. Fernando . G.S.L. . Brand. ão. ETH Zürich. W. ith . B. Barak . (. MSR). ,. . M. . Christandl. . (ETH),. . A. Harrow . (MIT), . J. . Kelner. . (MIT), . D. . Steurer. . (Cornell), . J. Yard . (Station Q), . Anindita Banerjee. Quantum optics Lab . Department of Physics. Centre of Astroparticle Physics and Space Science. Bose Institute. The International School and Conference on Quantum Information . Institute . . Entanglement, discord and harnessing noise. Natalia . Korolkova. . St . Andrews, UK. QUANTUM. INFORMATION. Quantum entanglement: definition and some textbook examples. Going macroscopic: quantum information in infinite-dimensional . Light: . Quantumness. . of Correlations and their applications. Natalia . Korolkova. , . St Andrews, UK. C. . Croal. , N. Quinn, L. . Mista. *. University of St. Andrews, UK;. *. Palacky. University, Olomouc, Czech Republic. Dung Nguyen. Chicago 19. th. January. Content. Motivation . Quantum bit (qubit) vs Classical bit (bit). Quantum Computation . Quantum Communication. Conclusion. Motivation. The end of Moore’s law scaling in silicon (because of quantum effects of particle at scale smaller than 7nm).. ’. t understood it.. ”. --Niels Bohr. . The Quantum Information Revolution. . Paul Kwiat. DARPA. Kwiat’s. Quantum. Clan (2012). Graduate Students:. . Rebecca Holmes. . Aditya. Sharma. Shannon. Theory. Aram Harrow (MIT). QIP 2016 tutorial. 9-10 January, 2016. the prehistory of quantum information. ideas present in disconnected form. 1927 Heisenberg uncertainty principle. 1935 EPR paper / 1964 Bell’s theorem. Fernando . G.S.L. . Brand. ão. University College London. New Perspectives on . Thermalization. , Aspen 2014. p. artially based on joint work with . Aram Harrow . and . Michal . Horodecki. Plan. 1. . Fernando . G.S.L. . Brand. ão. University College London. Caltech, January 2014. Quantum Information Theory. Quant. Comm.. Entanglement theory. Q. error . c. orrec. . FT. Quantum comp.. Quantum complex. . . of Correlations and their applications. Natalia . Korolkova. , . St Andrews, UK. C. . Croal. , N. Quinn, L. . Mista. *. University of St. Andrews, UK;. *. Palacky. University, Olomouc, Czech Republic. Daniel Reitzner. Research Center for Quantum Information, Slovak Academy of Sciences. 1st . eduQUTE. school on quantum technologies. Bratislava 19-22/02/2018. Welcome notes. Do not hesitate to ask questions anytime during the talk if something will be unclear!.