David gross hudson theorem clifford
WebMar 21, 2024 · Gross: "Hudson's Theorem for finite-dimensional quantum systems" (2006) Neuhauser: "An Explicit Construction of the Metaplectic Representation over a Finite Field" (2002) Bolt, Room, and Wall: "On the Clifford collineation, transform and similarity groups. II." (1960) Zhu: "Permutation Symmetry Determines the Discrete Wigner Function" (2016) WebWe show that, on a Hilbert space of odd dimension, the only pure states to possess a non-negative Wigner function are stabilizer states. The Clifford group is identified as the set of unitary operations which preserve positivity. The result can be seen as a discrete version of Hudson's theorem. Hudson established that for continuous variable systems, the …
David gross hudson theorem clifford
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WebDec 15, 2006 · The Clifford group is identified as the set of unitary operations which preserve positivity. The result can be seen as a discrete version of Hudson's theorem. … Web-Should integrate with Clifford Covariance, so functionals can be determined by a generating line and its orbit. About Calculates the Wigner Function as described in "Discrete Hudson's Theorem" by David Gross
WebAug 31, 2024 · This short chapter introduces Clifford theory, which is the subject of comparing the representation theories of a finite group and a normal subgroup of it. We prove Clifford’s theorem in the first section. The rest of the chapter discusses how to go from the representations of the normal subgroup and the quotient to representations of … WebFeb 9, 2024 · David Gross, Sepehr Nezami, and Michael Walter, ``Schur–Weyl Duality for the Clifford Group with Applications: Property Testing, a Robust Hudson Theorem, and de Finetti Representations'' Communications in Mathematical Physics 385, 1325–1393 (2024).
WebFrom the Nobel Foundation: After the discovery of asymptotic freedom and the emergence of QCD, he spent many years on the dynamics of gauge theories in the attempt to solve … WebFeb 16, 2024 · David Gross, Sepehr Nezami & Michael Walter. Fault-tolerant quantum computation with non-binary systems ... (i.e., the degree that a state cannot be approximately generated by Clifford gates) thus become ... Walter, M.: Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and …
WebIn this work, we describe a similar duality theory for tensor powers of Clifford unitaries. The Clifford group is a central object in many subfields of quantum information, most prominently in the theory of fault-tolerance. The duality theory has a simple and clean description in terms of finite geometries.
WebThe Hammersley-Clifford Theorem asserts that the process {X t: t ∈ T} is a Markov random field if and only if the corresponding Q is a Gibbs distribution. It is mostly a matter of bookkeeping to show that every Gibbs distribution defines a Markov random field. <3> Example. With only a slight abuse of notation, we may write V A(x) as V A(x ... gist head office address ukWebMay 27, 2024 · 1. Let V be an irreducible representation of a finite group G over the field C (we can take any field in fact). Let H be a normal subgroup of G. Look at V as representation of H; it may not be irreducible, so take an H -irreducible subspace W of V. Next, consider subspaces g W. It can be shown that H acts on g W (due to normality) irreducibly. g is the circumcenter of triangle ace find aeWebSep 26, 2016 · The Clifford group fails gracefully to be a unitary 4-design Authors: Huangjun Zhu Richard Kueng Markus Grassl University of Gdansk David Gross Abstract A unitary t-design is a set of... gis thayer county nebraskaWebClifford's theorem has led to a branch of representation theory in its own right, now known as Clifford theory. This is particularly relevant to the representation theory of finite solvable groups, where normal subgroups usually abound. For more general finite groups, Clifford theory often allows representation-theoretic questions to be reduced ... funny hand sanitizer labelsWebUpload an image to customize your repository’s social media preview. Images should be at least 640×320px (1280×640px for best display). gist heating and coolingWebThe Clifford group is identified as the set of unitary operations which preserve positivity. The result can be seen as a discrete version of Hudson’s Theorem. Hudson established that for continuous variable systems, the Wigner function of a pure state has no negative values if and only if the state is Gaussian. funny hand sanitizerWebAug 1, 2024 · discrete Hudson theorem. • W e show that complex projective designs of arbitrary order can be obtained from a finite number (independent of the number of … gisthekey