PPT-Product-State Approximations to Quantum

Groundstates Fernando GSL Brand ão Imperial gt UCL Based on joint work with A Harrow Paris April 2013 Quantum ManyBody Systems Quantum Hamiltonian . Chapter 12. E-mail: . benzene4president@gmail.com. Web-site: http://clas.sa.ucsb.edu/staff/terri/. Quantum – . ch 12. 1. A photon has a frequency (v) of 5.45 x 10. 8. MHz. a. Calculate the photons wavelength (λ) in nm. 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:. Local algebraic approximations. Variants on Taylor series. Local-Global approximations. Variants on “fudge factor”. Local algebraic approximations. Linear Taylor series. Intervening variables. Transformed approximation. 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 . 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).. Pawlak’s. Rough Sets. Section 2.4. Properties of Approximations. Proposition 2.2. Proof (1). Proof (2). Proof (3). Proof (4). Proof (5). Proof (6). Proof (7). Proof (8). Proof (9). Proof (10). Proof (11). Local algebraic approximations. Variants on Taylor series. Local-Global approximations. Variants on “fudge factor”. Local algebraic approximations. Linear Taylor series. Intervening variables. Transformed approximation.  . in Various Civilizations. Rachel Barnett.  . BC. Babylon. ∏. = . 3 ⅛ = 3.125. A. B. C. D. E. Egypt. ∏ . = 4(8/9)² = 3.16049…. Problem number 50 . Rhind Papyrus. Quantum Hamiltonian Complexity. Aram Harrow (MIT). Simons Institute. 16 Jan 2014. Entanglement. Original motivation for quantum computing. [Feynman ‘82]. Nature isn't classical, dammit, and if you want to make a simulation of Nature, you'd better make it quantum mechanical, and by golly it's a wonderful problem, because it doesn't look so easy.. m. otivation, capabilities. 1D theory .  1D-solver for waves. i. mplementation (without and with Lorentz transformation). e. xcitation of waves (single particle). w. ithout self effects. one and few particles with self effects. Insu. Yu. 27 May 2010. ACM Transactions on Applied Perception . (Presented at APGV 2009). Introduction. Can you see difference ? . Traditionally GI (Path tracing, photon mapping, ray-tracing) uses . University of Maryland. Department of Physics. National Institute of. Standards and Technology. Hardware. “. There's Plenty of Room . at . the Bottom. ” (1959. ) . “. When we get to the very, very small world – say circuits of . 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. Tel Aviv University. Nir Bitansky. Omri Shmueli. Zero-Knowledge Protocols . [Goldwasser, . Micali. , . Rackoff. 85].  . .. .. .. Accept/Reject.  .  .  . This work:. ZK against quantum attacks. ..