PPT-Quantum de Finetti theorems under local measurements

Aram Harrow MIT QIP 2013 based on arXiv12106367 joint work with Fernando Brandão ETH Symmetric States is permutation symmetric in the B subsystems if for every permutation π. Along with capacitive and selfinductive effects it is one of an instruments reactive that is nonresistive properties that concerns designers of sensitive mea surement devices Researchers who utilize sensitive instrumentation however may be likely to Does Bell’s theorem prevent the use of causal explanations in quantum mechanics?. Part I:. Locality, Bell’s version of locality, and its discontents. The greatest mystery in science?. Locality. = “things do not go faster than . Fernando . G.S.L. . Brand. ão. ETH Zürich. Based on joint work with . A. Harrow . and . M. . Horodecki. . Quo Vadis Quantum Physics, Natal 2013. Quantum is Hard. Use of DoE supercomputers by area . Aram Harrow (MIT). QIP 2013. based on . arXiv:1210.6367. joint work with Fernando Brandão (ETH) . Symmetric States. is permutation symmetric in the B subsystems if for every. . permutation π,. 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), . [needs revision]. R. eferences are more fully listed in my . Phys . Rev A . paper. Art Hobson. Prof Emeritus of Physics. University of Arkansas. ABSTRACT. Measurement causes the measured quantum system to entangle non-locally . Lior . Eldar. MIT . / . CTP. Joint work with Aram Harrow. Highlights. We prove a conjecture of Freedman and Hastings [‘12] that there exist quantum systems of “robust entanglement”- called NLTS.. Fernando Brandão (UCL). Aram Harrow (MIT). arXiv:1210.6367. methods to analyze. SDP hierarchies. motivation/warmup. nonlinear optimization --> convex optimization. D(n) = conv {xx. T. : x∈S. n. Groundstates. Fernando . G.S.L. . Brand. ão. Imperial -> UCL. Based on joint work with . A. Harrow . . Paris, April 2013. Quantum Many-Body Systems. Quantum Hamiltonian . Byron Smith. December 11, 2013. What is Quantum State Tomography?. What is Bayesian Statistics?. Conditional Probabilities. Bayes. ’ Rule. Frequentist. vs. Bayesian. Example: . Schrodinger’s Cat. Aram Harrow. . based on joint work with . Fernando G.S.L. Brandão. (ETHZ->Imperial). PCP theorem. Classical k-CSPs:. Given constraints . C={C. i. }. , choose an assignment . σ. mapping . n. variables to an alphabet . Aram Harrow. . based on joint work with . Fernando G.S.L. Brandão. (ETHZ->Imperial). PCP theorem. Classical k-CSPs:. Given constraints . C={C. i. }. , choose an assignment . σ. mapping . n. variables to an alphabet . Lightning NOx measurements during and after DC3 Harold Peterson: USRA Arastoo Biazar , Mike Newchurch , Wesley Cantrell: UAH GLM Science Meeting, Huntsville, AL September 19, 2012 Motivation Lightning Fernando Brandão (UCL). Aram Harrow (MIT). arXiv:. 1310.0017. Constraint Satisfaction Problems. x. 1. c. 1. c. 2. c. 3. k. -CSP:. Variables . {x. 1. , …, . x. n. } in . Σ. n. . Alphabet . Σ. Constraints .