PPT-Quantum Money from Hidden Subspaces

Scott Aaronson and Paul Christiano As long as there has been money there have been people trying to copy it Problem whatever a bank can do to print money a forger can do to copy it Classically we need a trusted third party to prevent doublespending. Lecture 13: Quantum Cryptography. 2. Topics. Polarized Light. Quantum Money. Quantum Cryptography. Feasibility of Quantum Cryptography. 3. Polarized Light. When a light photon travels through space, it vibrates in a plane parallel to the direction the photon is traveling.. variables!”: . From . Neumann’s to . Kochen. and . Specker’s. theorem in quantum mechanics. Vasil. . Penchev. Bulgarian Academy of Sciences: Institute for the Study of Societies of Knowledge. photons. and . without the fair-sampling assumption. Foundations of Physics 2013. LMU Munich, Germany. 30 July . 2013. Johannes Kofler. Max Planck Institute of Quantum Optics (MPQ). Garching / Munich, Germany. : . Uncalibrated Photometric Stereo . with . Shadows. Kalyan Sunkavalli, . Harvard University. Joint work with Todd Zickler and Hanspeter Pfister. Published in the Proceedings of ECCV 2010. http://gvi.seas.harvard.edu/. Giorgio di . Nunzio. University of Padua. Peter Bruza and . Laurianne. . Sitbon. Queensland University of . Technology. EU Marie Curie FP7 project “QONTEXT”. © Jerome Busemeyer. The.  . Experimental. Associate Professor, EECS. MIT. Quantum Mechanics: What’s It Good For?. Some “Obvious” Things QM Is Good For. Allowing transistors and lasers to work. Helping to sell New Age books. Keeping atoms from disintegrating. Mark Williamson. m. ark.williamson@wofson.ox.ac.uk. 10.06.10. The Quantum . T. heory of Information and Computation. http://www.comlab.ox.ac.uk/activities/quantum/course/. Aims of lecture. Local hidden variable theories can be experimentally falsified.. Seyed. Ali . Hosseini. . Lavasani. . Seyed. . Alireza. . Seif. . Tabrizi. B92 Protocol . Let . and . be two distinct, . nonorthogonal. states, and let . and . be projection operators onto subspaces orthogonal to . The subspace arrangement is. =. w. here . are linear subspaces of . . .  . =.  . }=d-s.  . Algebraic geometry studies the property .  . Birkhoff. Interpolation. (in one variable). George David . : . Uncalibrated Photometric Stereo . with . Shadows. Kalyan Sunkavalli, . Harvard University. Joint work with Todd Zickler and Hanspeter Pfister. Published in the Proceedings of ECCV 2010. http://gvi.seas.harvard.edu/. Now, starting from an explicit description of a subspace, we would like to compute an explicit basis. . We can’t write a basis by inspection, and a systematic procedure is necessary. . 2.4 The Four Fundamental Subspaces. René Vidal. Center for Imaging Science. Institute for Computational Medicine. Johns Hopkins University. Data segmentation and clustering. Given a set of points, separate them into multiple groups. Discriminative methods: learn boundary. Experimental Comparison of Two Quantum Computing Architectures Norbert M. Linke , Dmitri Maslov , Martin Roerreler , Shantanu Debnath, Caroline Figgatt , Kevein A. Landsman, Kenneth Wright and Christopher Monroe ” Workshop is to discuss theoretical and experimental hot issues related to quantum physics, from foundational issues (such as findings and ideas to investigate quantum effects in biological systems. The Workshop is supported by .