PPT-Decoupling with random quantum circuits

Omar Fawzi ETH Zürich Joint work with Winton Brown University College London S Random unitaries Encoding for almost any quantum information transmission problem Entanglement generation Thermalization. A welldesigned decoupling plan helps keep utility pro57375ts steady and customers energy costs in checkand it removes the disincentive for utilities to promote energy ef57375ciency programs 1 These are costs that are relatively 57375xed in the short may be either absolute or relative and The term decoupling refers to breaking the link between environmental ads and economic goods ecoupling environmental pressures from economic growth is one of the main objectives of the OECD Environmental Stra with a . Scala. Embedded . Language. Xiao Liu and . John . Kubiatowicz. Computer Science Division. University of California, Berkeley. Email: {. xliu. , . kubitron. }@eecs.berkeley.edu. Why Quantum Computers?. Challenges and Opportunities. Fernando . G.S.L. . Brand. ão. Universidade. Federal de Minas . Gerais. , Brazil. Based on joint work with. M. . Christandl. , A. Harrow, M. . Horodecki. , J. Yard. PI, 02/11/2011. k. -Designs. Fernando . G.S.L. . Brand. ão. . UCL. Joint work with. Aram Harrow . and . Michal . Horodecki. arXiv:1208.0692. IMS, September 2013. Dynamical Equilibration. State at time . t. :. Dynamical Equilibration. and Cosmology. Claudia de Rham. May 9. th. 2012. Massive Gravity. Massive Gravity. The notion of mass requires a . reference. !. Flat Metric. Metric. Massive Gravity. The notion of mass requires a . Fernando . G.S.L. . Brand. ão. 1. . Aram Harrow. 2. Michal Horodecki. 3. Universidade. Federal de Minas . Gerais. , Brazil. University of Washington, USA. 3. . Gdansk University, Poland. IQC, November 2011. Fang Song. IQC, University of Waterloo. -- “Quantum-Friendly” Reductions. 2. How do . quantum . attacks change classical cryptography?. Crypto-systems based on the hardness of factoring and discrete-log are . with . random diagonal-. unitaries. Yoshifumi Nakata. Universitat. . Autonoma. de Barcelona & The University of Tokyo . arXiv:1502.07514 & arXiv:1509.05155. Joint work with . C. . Hirche. , C. Morgan, and A. Winter. 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. . What we’re now learning:. Series Circuit. A . series circuit . has a single path for the current. Series Circuit. There is only one path for the electrons to flow. This means the . current must flow through all loads. Activator. Essential Question:. How are series and parallel circuits similar and different in how they transfer energy. ?. Standard:. S8P5b. . Demonstrate the advantages and disadvantages of series and parallel circuits and how they transfer energy. Part 1. Outline. Introduction. Problems of classical physics. Black-body Radiation. experimental observations. Wien’s displacement law. Stefan – Boltzmann law. Rayleigh - Jeans. Wien’s radiation law. ----a critical evaluation. Rui. Xian(Patrick. ). D. W. Leung, et al., Efficient implementation of coupled logic gates for quantum computation, Phys. Rev. A, 61, 042310(2000). CO781, July 2010. . Outline.