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![[photo of a speaker] (c) D.Nagaj](img/photos/speaker.jpg)
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:: Fri 10/24/14, 1:30 in 6C-442 Chetan Nayak (Microsoft Research, Station Q and UC Santa Barbara) :: Fri 11/7/14, 1:30 in 6C-442 Alan Aspuru-Guzik (Harvard University) Density functional theory (DFT) and it's time-dependent counterpart (TDDFT) have been cornerstones in the field of numerical simulations, e.g. in computational materials science, ad computational physics and chemistry. The DFT theorems demonstrate that the exact energy of the ground state of a quantum system is a functional of the density of the system. The time-dependent counterpart (TDDFT) demonstrates that a time-evolving density is enough, in theory, to obtain all observables of a quantum system. In this talk, I will discuss our group's work on the connections of time-dependent density functional theory (TDDFT) and quantum information. In particular, we have proved the TDDFT theorems for the case of open quantum systems. I will discuss the implications of this to problems such as decoherence and the emergence of density functionals for dissipation and relaxation. We also recently showed that TDDFT theorems also exist for the case of distinguishable spin 1/2 systems (e.g. qubits) that are able to perform universal quantum computation. I will discuss the theorems and some potential applications to quantum simulation and also to the possibility of approximating the results of quantum information processing tasks. Recently, we have worked on the complexity of TDDFT as a procedure and show that, within certain physical and computational considerations, it belongs to the bounded quantum polynomial complexity class. This is joint work with Joel Yuen-Zhou, currently a Silbey postdoctoral fellow at MIT, David Tempel, currently a postdoctoral researcher in my group, as well as James Whitfield, former PhD. student currently in Vienna, Sergio Boixo, now at Google and Man-Hong Yung now Assistant Professor at Tsinghua University. :: Fri 11/14/14, 1:30 in 6C-442 Lorenza Viola (Dartmouth College) Hamiltonian engineering via unitary open-loop quantum control provides a versatile and experimentally validated framework for precisely manipulating a broad class of non-Markovian dynamical evolutions of interest, with applications ranging from dynamical decoupling and dynamically corrected quantum gates to noise spectroscopy and quantum simulation. In this context, transfer-function techniques directly motivated by control engineering have proved invaluable for obtaining a transparent picture of the controlled dynamics in the frequency domain and for quantitatively analyzing control performance. In this talk, I will show how to construct a general filter-function approach, which overcomes the limitations of the existing formalism. The key insight is to identify a set of "fundamental filter functions", whose knowledge suffices to construct arbitrary filter functions in principle and to determine the minimum "filtering order" that a given control protocol can guarantee. Implications for dynamical control in multi-qubit systems and/or in the presence of non-Gaussian noise will be discussed. :: Fri 11/21/14, 1:30 in 6C-442 John Preskill (California Institute of Technology) TBA :: Fri 12/5/14, 1:30 in 6C-442 Jess Riedel (Perimeter Institute) TBA Brian Swingle (Stanford University) I will propose a mechanism whereby a dynamical geometry obeying Einstein's equations emerges holographically from entanglement in certain quantum many-body systems. As part of this broader story I will discuss in particular two crucial results: one establishing a geometric representation of entanglement in the vacuum state of a wide class of (lattice regulated) quantum field theories and one showing how the equivalence principle of gravity is encoded in the universality of entanglement. I will also briefly indicate how the first result opens the door to solving previously intractable strongly interacting models of relevance for experiments in the solid state and elsewhere. Thus I will argue that the fundamental physics of entanglement provides a window into non-perturbative quantum field theory and quantum gravity. :: Fri 2/27/15, 1:30 in 6C-442 Ramis Movassagh (MIT) Entanglement is a quantum correlation which does not appear classically, and it serves as a resource for quantum technologies such as quantum computing. The area law says that the amount of entanglement between a subsystem and the rest of the system is proportional to the area of the boundary of the subsystem and not its volume. A system that obeys an area law can be simulated more efficiently than an arbitrary quantum system, and an area law provides useful information about the low-energy physics of the system. It was widely believed that the area law could not be violated by more than a logarithmic factor (e.g. based on critical systems and ideas from conformal field theory) in the system’s size. We introduce a class of exactly solvable one-dimensional models which we can prove have exponentially more entanglement than previously expected, and violate the area law by a square root factor. We also prove that the gap closes as n^{-c}, where c ge 2, which rules out conformal field theories as the continuum limit of these models. In addition to using recent advances in quantum information theory, we have drawn upon various branches of mathematics and computer science in our work and hope that the tools we have developed may be useful for other problems as well. (Joint work with Peter Shor) :: Fri 3/20/15, 1:30 in 6C-442 Richard Cleve (IQC, University of Waterloo) TBA :: Fri 3/27/15, 1:30 in 6C-442 William Wooters (Williams College) TBA :: Fri 4/17/15, 1:30 in 6C-442 Michael Walter (Stanford University) TBA |
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