PPT-Randomized and Quantum Protocols in Distributed Computation

Michael BenOr The Hebrew University Michael Rabins Birthday Celebration Randomized Protocols Power of Randomization Exponential speedup for known algorithms Complexity The jury is still out . 1 Introduction Quantum computation is a revolutionary idea that has fundamentally transformed our notion of feasible compu tation The most dramatic example of the power of quan tum algorithms was exhibited in Shors celebrated quan tum algorithms for 1Itcanbeviewedasapproximatelyproducingrectangleswithsigns[10,Section3]. H.KlauckandR.deWolf3protocolswithoutentanglement.TheseresultsalsoimplylowerboundforquantumLasVegasorzero-errorprotocols(i.e. Collection of two-state quantum systems (. qubits. ). Operations which manipulate isolated . qubits. or pairs of . qubits. Initialise. . qubit. to . single state. Detect . qubit. state. Large scale device:. Tahereh Zahmatkesh. McMaster University - CAS . 769. March 2015. Outline. March 2015. Distributed Reset - CAS 769. 2. March 2015. Distributed Reset - CAS 769. 3. Introduction. Distributed reset. : any of the . Fang . Song. Joint . work with Sean . Hallgren. and Adam Smith. Computer . Science and . Engineering. Penn . State University. 2. Are. . classical . cryptographic. protocols . secure . against. . Graph . Processing . . with Distributed Immutable View. Rong Chen. +. , . Xin. Ding. +. , . Peng. Wang. +. , Haibo Chen. +. , . Binyu . Zang. +. and Haibing Guan. *. Institute of Parallel and Distributed Systems. Computers in a weird universe. Patrick Rall. Ph70. May 10, 2016. Advertising. “I laughed, I cried, I fell off my chair - and I was just reading the chapter on computational complexity … How is it possible for a serious book … to be so ridiculously entertaining?”. Michael Freedman. April 23, 2009. Parsa Bonderson. Adrian Feiguin. Matthew Fisher. Michael Freedman. Matthew Hastings. Ribhu Kaul. Scott Morrison. Chetan Nayak. Simon Trebst. Kevin Walker. Zhenghan Wang. 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).. ideas. CS 498: Spring 2017. Amit, Elena, & Sole. Next-generation computing paradigms. The . Defense Advanced Research Projects Agency (DARPA). . “... . i. n . recent years even the best computer architectures haven’t been able to keep up with demand for the kind of simulation processing power needed to handle exceedingly complex design optimization and related problems.. A. ndris . Ambainis. Uni. v. ersity. . of. . Latvia. Joint . w. o. r. k with:. . Scott Aaronson, . Kaspars. . Balodi. s. ,. Aleksandrs Belovs, . T. r. o. y Le. e. , . Miklos . Santha. , . and . J. McMaster University - CAS . 769. March 2015. Outline. March 2015. Distributed Reset - CAS 769. 2. March 2015. Distributed Reset - CAS 769. 3. Introduction. Distributed reset. : any of the . processes. . with Distributed Immutable View. Rong Chen. +. , . Xin. Ding. +. , . Peng. Wang. +. , Haibo Chen. +. , . Binyu . Zang. +. and Haibing Guan. *. Institute of Parallel and Distributed Systems. +. ----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.