PPT-Quantum Hamiltonian Complexity

Fernando GSL 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 . Dominic Berry. Macquarie University. We want to simulate the evolution. The Hamiltonian is a . sum of terms:.  . Simulation of Hamiltonians. Seth Lloyd. 1996. We . can perform. For . short times . we . Hamiltonian method is called dephasing rate constant and no pure dephasing As an example, we shall discuss how the molecular eigen-state can be constructed from the unperturbed system. For this pur Dieter Jaksch. Outline. Lecture 1: Introduction. What defines a quantum simulator? Quantum simulator criteria. Strongly correlated quantum systems.. Lecture 2: Optical lattices. Bose-Einstein condensation, adiabatic loading of an optical lattice. Hamiltonian . Dieter Jaksch. Outline. Lecture 1: Introduction. What defines a quantum simulator? Quantum simulator criteria. Strongly correlated quantum systems.. Lecture 2: Optical lattices. Bose-Einstein condensation, adiabatic loading of an optical lattice. 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 . Fernando . G.S.L. . Brand. ão. ETH Zürich. Based on joint work with M. . Christandl. and J. Yard. Journees. . Deferation. de . Reserche. en . Mathematiques. de Paris Centre/GT . Informatique. . $$ NSF, AFOSR MURI, DARPA, ARO. Harvard-MIT. Takuya Kitagawa, . Erez. Berg, Mark Rudner. Eugene . Demler. . Harvard University. Also collaboration with A. White’s group, Univ. of Queensland. for advanced computing (. C. o. Q. u. NAC. ). Irfan Siddiqi. Lawrence Berkeley National Laboratory. Department of Physics, University of California, Berkeley. Hartmut. . Häffner. , Joel Moore, Dan Stamper-. Statics and dynamical quantum correlations in . an alternating- . field . XY model. Overview: Quantum XY model with uniform transverse field. Alternating transverse field XY model: . Statics. Zero-temperature study. Pancharatnam phase. The Indian physicist S. Pancharatnam in 1956 introduced the concept of . a geometrical phase.. Let . H(ξ ) be an Hamiltonian which depends from some . parameters, represented by . Second Biennial Seminar on the Philosophical Epistemological and Methodological Implications of Complexity Theory Havana Cuba January 2004ABSTRACT The sciences of complexity have recently revealed a 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 . for String Problems. SODA 2022. Shyan. Akmal. MIT. Ce . Jin. MIT. Basic Problems in . Stringology. Exact Pattern Matching. Longest Common Substring. Lexicographically Minimal String Rotation. Longest Palindromic Substring. Jordan Cotler. Harvard Society of Fellows. 2101.04634 [. Aharonov. , Cotler, Qi]. Introduction: what is an experiment?. Measuring constants of nature (speed of light, charge of electron). Quantifying dynamical properties (rate of a chemical reaction).