MATHEMATICAL PICTURE LANGUAGE
July 28, 2020 10:00 amThe Clifford group is the most important set of quantum circuits that allow for an efficient classical description. It therefore forms an integral part of many protocols in quantum information, and it...
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MATHEMATICAL PICTURE LANGUAGE
July 21, 2020 10:00 amWe are interested in mathematical results which are stated entirely without reference to von Neumann algebras but whose proofs use von Neumann algebras in an essential way. The first stunning...
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MATHEMATICAL PICTURE LANGUAGE
July 14, 2020 10:00 amMany integrable critical classical statistical mechanical models and the corresponding quantum spin chains possess a fractional-spin conserved current. Such currents have been constructed by utilizing quantum-group algebras, fermionic and parafermionic...
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MATHEMATICAL PICTURE LANGUAGE
July 7, 2020 10:00 amThe connection between decay estimates for entropy and logarithmic Sobolev inequalities is well-established for dynamical systems on commutative systems. I will explain how to extend this to matrix-valued functions, and...
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MATHEMATICAL PICTURE LANGUAGE
June 30, 2020 10:00 amWe show that every quantum computation can be described by Bayesian update of a probability distribution on a finite state space. Negativity in a quasiprobability function is not required, neither in...
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MATHEMATICAL PICTURE LANGUAGE
June 23, 2020 10:00 amQuantum Fourier analysis is a subject that combines an algebraic Fourier transform (pictorial in the case of subfactor theory and topological quantum field theory) with analytic estimates. We give an...
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MATHEMATICAL PICTURE LANGUAGE
June 16, 2020 10:00 amInterference is an essential part of quantum mechanics. However, an important class of Hamiltonians considered are those with "no sign problem", where all off-diagonal matrix elements of the Hamiltonian are...
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MATHEMATICAL PICTURE LANGUAGE
June 9, 2020 10:00 amThe partition function of a quantum system without a sign problem can be represented by a path integral in which every amplitude is efficiently computable and nonnegative, which is a...
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MATHEMATICAL PICTURE LANGUAGE
June 2, 2020 10:00 amKitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting...
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MATHEMATICAL PICTURE LANGUAGE
May 26, 2020 10:00 amI'll tell a mathematical story that runs from Archimedes' hat-box theorem of ~200BC (which he used to calculate the surface area of the sphere), to the properties of "Porter-Thomas" probability distributions,...
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