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Semidefinite programs (SDPs) are a framework for exact or approximate optimization with widespread application in quantum information theory.
Added a near optimal bound (up to additive factors) for the expected communication cost of the main task.
Section 5 contains the result from ar Xiv:1506.06380 . Main result changed from NLTS to a different theorem which we call NLETS, due to a bug in the corresponding theorem of the previous version.
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I am a computer scientist with research interests in algorithms (both classical and quantum), isomorphism problems, algebraic problems, alternate oracle models, query complexity, state preparation, symmetrization and quantum circuits.
Eldar Lior, Mehraban Saeed, "approximating the permanent of a random matrix with vanishing mean", to appear in FOCS 2018 [ar Xiv]3.
degree Physics in physics from Sharif university of technology, Tehran, Iran. I am also an amateur artist (mainly as hobby) you can find my artworks in this page. Aram Harrow, Mehraban Saeed, "approximate unitary t-designs by short random quantum circuits using nearest neighbor and long-range gates", [ar Xiv]Accepted as one out of the 5 plenary talks at the 22nd Annual Conference on Quantum Information Processing (QIP 2019).2.v3 and v4 each make small improvements to the presentation and add references. Despite the similar title, contains different results from ar Xiv:0906.2527. V2: Includes significantly revised proof of Theorem 27.V3: Includes expanded explanation of some of the technical details 7 pages, revtex4; v2 added correct ref.See author identifier help for more information about ar Xiv author identifiers, please report any problems.Winner, 2018 Best Senior Thesis Award A Crash-Safe Key-Value Store Using Chained Copy-on-Write B-trees Bruno Castro-Karney, supervised by Xi Wang Brain Net: A Multi-Person Brain-to-Brain Interface for Direct Collaboration Between Brains Linxing (Preston) Jiang, supervised by Raj Rao Multi-Location Droplet Management for Digital Microfluidics Winner, 2017 Best Senior Thesis Award The Methods of Interlacing Polynomials Kuikui Liu, supervised by Shayan Oveis Gharan Winner, 2017 Best Senior Thesis Award Respeak: A Voice-based, Crowd-powered, and Accessible Speech Transcription System Pooja Sethi, supervised by Richard Anderson Semi-Supervised Spatial Knowledge Transfer with Deep Generative Models Kousuke Ariga, supervised by Andrzej Pronobis Automated Classification of Adult Cough Recordings into Wet vs. The construction and techniques are the same, with some additions v1: 52 pages.v2: 53 pages, fixed small bugs in proofs of section 6 (on UG integrality gaps) and section 7 (on 2->4 norm of random matrices).Quantum mechanics has led not only to new physical theories, but also a new understanding of information and computation.Quantum information began by yielding new methods for achieving classical tasks such as factoring and key distribution but also suggests a completely new set of quantum problems, such as sending quantum information over quantum channels or efficiently performing particular basis changes on a quantum computer.These are based on new limitations on the sum-of-squares (So S) hierarchy in approximating two particularly important sets in quantum information theory, where previously no In both cases no-go theorems were previously known based on computational assumptions such as the Exponential Time Hypothesis (ETH) which asserts that 3-SAT requires exponential time to solve.Our unconditional results achieve the same parameters as all of these previous results (for separable states) or as some of the previous results (for quantum correlations).