CS 294-5: Statistical Natural Language Processing
... Let s be a sequence of dice rolls and Chance and Community Chest cards Given s, the outcome V(s) is determined (1 for a win, 0 for a loss) Probability that A wins is s P(s) V(s) ...
... Let s be a sequence of dice rolls and Chance and Community Chest cards Given s, the outcome V(s) is determined (1 for a win, 0 for a loss) Probability that A wins is s P(s) V(s) ...
The Future of Computer Science
... BosonSampling [A.-Arkhipov 2011] Recent experimental proposal, which involves generating n identical photons, passing them through a network of beamsplitters, then measuring where they end up Almost certainly wouldn’t yield a universal quantum computer—and indeed, it seems easier to implement Never ...
... BosonSampling [A.-Arkhipov 2011] Recent experimental proposal, which involves generating n identical photons, passing them through a network of beamsplitters, then measuring where they end up Almost certainly wouldn’t yield a universal quantum computer—and indeed, it seems easier to implement Never ...
Photon Fishing
... There is considerable interest in experimentally implementing quantum information (QI) protocols and quantum computation. It has been proposed that a quantum computer can be built solely with linear optics, single photon sources and photodetectors [Knil et al.] Such schemes require simultaneous inpu ...
... There is considerable interest in experimentally implementing quantum information (QI) protocols and quantum computation. It has been proposed that a quantum computer can be built solely with linear optics, single photon sources and photodetectors [Knil et al.] Such schemes require simultaneous inpu ...
The Learnability of Quantum States
... Outline of Proof Given a matrix XCnn , with every entry satisfying |xij|1, we want to approximate |Per(X)|2 to within n! This is already #P-complete (proof: standard padding tricks) Notice that |Per(X)|2 is a degree-2n polynomial in the entries of X (as well as their complex conjugates) As in L ...
... Outline of Proof Given a matrix XCnn , with every entry satisfying |xij|1, we want to approximate |Per(X)|2 to within n! This is already #P-complete (proof: standard padding tricks) Notice that |Per(X)|2 is a degree-2n polynomial in the entries of X (as well as their complex conjugates) As in L ...
Higgs-Boson-Arraigned
... charges. It wore a pair of dark Oakley sunglasses and a sweater that rendered the subatomic particle almost visible to the naked eye. The boson was discovered by two teams of over 3,000 physicists each at CERN ’s Large Hadron Collider. Though its existence had been predicted by British physicist Pet ...
... charges. It wore a pair of dark Oakley sunglasses and a sweater that rendered the subatomic particle almost visible to the naked eye. The boson was discovered by two teams of over 3,000 physicists each at CERN ’s Large Hadron Collider. Though its existence had been predicted by British physicist Pet ...
ppt - Rutgers Physics
... Wanted: good approach which is scalable to the Lattice and to nonequilibrium. Schwinger bosons: Exact treatment of the large-N limit for the Kondo problem [Parcollet Georges 97] and for magnetism [Arovas Auerbach 88]. ...
... Wanted: good approach which is scalable to the Lattice and to nonequilibrium. Schwinger bosons: Exact treatment of the large-N limit for the Kondo problem [Parcollet Georges 97] and for magnetism [Arovas Auerbach 88]. ...
Sampling - samratsrivastava2016
... Selection of first unit is on random basis Remaining units selected at fixed intervals Steps Number of units in the population-N Sample size –n Interval size –k =N/n Select the first unit randomly Select every kth unit ...
... Selection of first unit is on random basis Remaining units selected at fixed intervals Steps Number of units in the population-N Sample size –n Interval size –k =N/n Select the first unit randomly Select every kth unit ...
Boson sampling for molecular vibronic spectra - CIQM
... information in ways that are not possible according to classical physics. At a glance, it appears evident that the set of operations characterizing a quantum computer is strictly larger than the operations possible in a classical hardware. This speculation is at the basis of quantum speedups that ha ...
... information in ways that are not possible according to classical physics. At a glance, it appears evident that the set of operations characterizing a quantum computer is strictly larger than the operations possible in a classical hardware. This speculation is at the basis of quantum speedups that ha ...
Higgs-part
... •Robotic assembly of precision silicon tracker – Denys Wilkinson Building Summer 2004 to Summer 2005 ...
... •Robotic assembly of precision silicon tracker – Denys Wilkinson Building Summer 2004 to Summer 2005 ...
Computational Complexity and Physics
... (A.-Arkhipov, arXiv:1309.7460) Theorem: Let ACmn be a Haar-random BosonSampling matrix, where m≥n5.1/. Then with 1-O() probability over A, the BosonSampling distribution DA has Ω(1) variation distance from the uniform distribution U Histogram of (normalized) probabilities under DA ...
... (A.-Arkhipov, arXiv:1309.7460) Theorem: Let ACmn be a Haar-random BosonSampling matrix, where m≥n5.1/. Then with 1-O() probability over A, the BosonSampling distribution DA has Ω(1) variation distance from the uniform distribution U Histogram of (normalized) probabilities under DA ...
Script for “Boson the Clown” animation sequence
... is so weak compared to the other three forces that the existence of gravitons has yet to be confirmed. This quantum model of gravity is also at odds with Einstein’s general theory of relativity, which says that gravity is not a force between particles but a curvature of space-time around massive obj ...
... is so weak compared to the other three forces that the existence of gravitons has yet to be confirmed. This quantum model of gravity is also at odds with Einstein’s general theory of relativity, which says that gravity is not a force between particles but a curvature of space-time around massive obj ...
Title: Some Combinatorial Problems Inherent in and Related
... Speaker: K. A. Penson ( LPTMC, Université de Paris VI) We shall present a general view of combinatorial aspects of the normal ordering of functions of Boson creation and annihilation operators. It will be shown that this procedure naturally leads to far reaching generalizations of classical combinat ...
... Speaker: K. A. Penson ( LPTMC, Université de Paris VI) We shall present a general view of combinatorial aspects of the normal ordering of functions of Boson creation and annihilation operators. It will be shown that this procedure naturally leads to far reaching generalizations of classical combinat ...
New Evidence that Quantum Mechanics is Hard to Simulate on
... Our Result: Take a system of n identical photons, with m=O(n2) modes (basis states) each. Put each photon in a known mode, then apply a random mm scattering matrix U: ...
... Our Result: Take a system of n identical photons, with m=O(n2) modes (basis states) each. Put each photon in a known mode, then apply a random mm scattering matrix U: ...
The Learnability of Quantum States
... true: the permanent of a Gaussian random matrix is (1) #P-hard to approximate, and (2) not too concentrated around 0. Let O be any oracle takes as input a description of a linear-optics network A, a random string r, and 01/, But to fully smash the barriers, and that samples from a distribution -cl ...
... true: the permanent of a Gaussian random matrix is (1) #P-hard to approximate, and (2) not too concentrated around 0. Let O be any oracle takes as input a description of a linear-optics network A, a random string r, and 01/, But to fully smash the barriers, and that samples from a distribution -cl ...
Another version - Scott Aaronson
... true: the permanent of a Gaussian random matrix is (1) #P-hard to approximate, and (2) not too concentrated around 0. Let O be any oracle takes as input a description of a linear-optics network A, a random string r, and 01/, and that samples from a distribution -close to A’s in ...
... true: the permanent of a Gaussian random matrix is (1) #P-hard to approximate, and (2) not too concentrated around 0. Let O be any oracle takes as input a description of a linear-optics network A, a random string r, and 01/, and that samples from a distribution -close to A’s in ...
Another version - Scott Aaronson
... Idea: What if we could “smuggle” a matrix A with huge permanent, as a submatrix of a larger unitary matrix U? Finding A could be hard classically, but shooting photons into an interferometer network would easily reveal it Pessimistic Conjecture: If U is unitary and |Per(U)|1/nO(1), then U is “close ...
... Idea: What if we could “smuggle” a matrix A with huge permanent, as a submatrix of a larger unitary matrix U? Finding A could be hard classically, but shooting photons into an interferometer network would easily reveal it Pessimistic Conjecture: If U is unitary and |Per(U)|1/nO(1), then U is “close ...
The Learnability of Quantum States
... modes), U acts on that photon in the obvious way m n 1 ...
... modes), U acts on that photon in the obvious way m n 1 ...
Boson sampling
... Instead of building a device that implements Boson-Sampling, program a classical computer to efficiently sample from the uniform distribution. If one chooses U at random, the chances of being caught cheating becomes large only after exponentially many samples. The findings of any experimental realiz ...
... Instead of building a device that implements Boson-Sampling, program a classical computer to efficiently sample from the uniform distribution. If one chooses U at random, the chances of being caught cheating becomes large only after exponentially many samples. The findings of any experimental realiz ...
Another version - Scott Aaronson
... noisy distribution still collapse the polynomial hierarchy? ...
... noisy distribution still collapse the polynomial hierarchy? ...
Tsai_Abstract - Superconducting hybrid nanostructures: physics
... We proposed to consider doing quantum simulation based on boson sampling. Boson sampling is a short to medium term application of quantum technology that has been proven to be classically difficult to solve. Recent results from the Harvard group has illustrated a possible application for Boson sampl ...
... We proposed to consider doing quantum simulation based on boson sampling. Boson sampling is a short to medium term application of quantum technology that has been proven to be classically difficult to solve. Recent results from the Harvard group has illustrated a possible application for Boson sampl ...