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PERIMETER INSTITUTE RECORDED SEMINAR ARCHIVE

PIRSA:C10016 - Random Matrix Techniques in Quantum Information - 2010PODCAST Subscribe to podcast

Random Matrix Techniques in Quantum Information

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Collection URL: http://pirsa.org/C10016


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Random constructions in Quantum Information Theory
Speaker(s): Patrick Hayden
Abstract: TBA
Date: 04/07/2010 - 9:15 am

Hausdorff and spectral dimension of random graphs
Speaker(s): Bergfinnur Durhuus
Abstract: We introduce a class of probability spaces whose objects are infinite graphs and whose probability distributions are obtained as limits of distributions for finite graphs. The notions of Hausdorff and spectral dimension for such ensembles are defined and some results on their value in koncrete examp... read more
Date: 04/07/2010 - 10:30 am

Anderson localization and adiabatic quantum optimization
Speaker(s): Jeremie Roland
Abstract: Understanding NP-complete problems is a central topic in computer science. This is why adiabatic quantum optimization has attracted so much attention, as it provided a new approach to tackle NP-complete problems using a quantum computer. The efficiency of this approach is limited by small spectral g... read more
Date: 04/07/2010 - 11:15 am

Convergence rates for arbitrary statistical moments of random quantum circuits
Speaker(s): Lorenza Viola
Abstract: TBA
Date: 04/07/2010 - 1:30 pm

Approximate vs complete quantum information erasure: constructions and applications
Speaker(s): Andreas Winter
Abstract: It is a fundamental, if elementary, observation that to obliterate the quantum information in n qubits by random unitaries, an amount of randomness of at least 2n bits is required. If the randomisation condition is relaxed to perform only approximately, we obtain two answers, depending on the norm u... read more
Date: 04/07/2010 - 2:15 pm

Random techniques and Bell inequalities
Speaker(s): Marius Junge
Abstract: In this talk we will give an overview of how different probabilistic and quantum probabilistic techniques can be used to find Bell inequalities with large violation. This will include previous result on violation for tripartite systems and more recent results with Palazuelos on probabilities for bip... read more
Date: 04/07/2010 - 3:30 pm
Tech Note: Amanda Hartery

On the comparison of volumes of quantum states
Speaker(s): Deping Ye
Abstract: Entangled (i.e., not separable) quantum states play fundamental roles in quantum information theory; therefore, it is important to know the ''size'' of entanglement (and hence separability) for various measures, such as, Hilbert-Schmidt measure, Bures measure, induced measure, and $alpha$-measure. I... read more
Date: 04/07/2010 - 4:15 pm
Tech Note: Amanda Hartery

Isotropic Entanglement
Speaker(s): Ramis Movassagh
Abstract: One of the major problems hindering progress in quantum many body systems is the inability to describe the spectrum of the Hamiltonian. The spectrum corresponds to the energy spectrum of the problem and is of out-most importance in accounting for the physical properties of the system. A perceived di... read more
Date: 04/07/2010 - 4:40 pm
Tech Note: Amanda Hartery

Some limit theorems in operator-valued noncommutative probability
Speaker(s): Serban Belinschi
Abstract: A famous result in classical probability - Hinv{c}in's Theorem - establishes a bijection between infinitely divisible probability distributions and limits of infinitesimal triangular arrays of independent random variables. Analogues of this result have been proved by Bercovici and Pata for scalar-va... read more
Date: 05/07/2010 - 10:30 am

Singular values, complex eigenvalues and the single ring theorem
Speaker(s): Ofer Zeitouni
Abstract: Limit laws and large deviations for the empirical measure of the singular values for ensembles of non-Hermitian matrices can be obtained based on explicit distributions for the eigenvalues. When considering the eigenvalues, however, the situation changes dramatically, and explicit expressions for th... read more
Date: 05/07/2010 - 11:15 am

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