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The Schur transform is a unitary operator that block diagonalizes the action of the symmetric and unitary groups on an $n$ fold tensor product $V^{\otimes n}$ of a vector space $V$ of dimension $d$.
Finite-dimensional representations of the group of unimodular matrices
Israel M. Gelfand and Michael .L. Zetlin · 1950
Earlier work this paper cites.
Linear representations of finite groups, translated from the second french edition by leonard l. scott
Jean-Pierre Serre · 1977
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The Representation Theory of the Symmetric Group
James and Kerber · 1984
Earlier work this paper cites.
Symmetry properties of product states for the system of n n-level atoms
Robert Alicki, Slawomir Rudnicki, and Slawomir Sadowski · 1988
Earlier work this paper cites.
Representation theory , volume 129
William Fulton and Joe Harris · 1991
Earlier work this paper cites.
Quantum measurements and the abelian stabilizer problem
A Yu Kitaev · 1995
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Quantum computation of fourier transforms over symmetric groups
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Young tableaux: with applications to representation theory and geometry , volume 35
William Fulton · 1997
Earlier work this paper cites.
Error avoiding quantum codes
Paolo Zanardi and Mario Rasetti · 1997
Earlier work this paper cites.
Optimal minimal measurements of mixed states
G Vidal, JI Latorre, P Pascual, and Rolf Tarrach · 1999
Earlier work this paper cites.
State estimation for large ensembles
Richard D Gill and Serge Massar · 2000
Earlier work this paper cites.
Representations and invariants of the classical groups , volume 68
Roe Goodman and Nolan R Wallach · 2000
Earlier work this paper cites.
Theory of quantum error correction for general noise
Emanuel Knill, Raymond Laflamme, and Lorenza Viola · 2000
Earlier work this paper cites.
Decoherence, control, and symmetry in quantum computers
D Bacon · 2001
Earlier work this paper cites.
Theory of decoherence-free fault-tolerant universal quantum computation
Julia Kempe, Dave Bacon, Daniel A Lidar, and K Birgitta Whaley · 2001
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Estimating the spectrum of a density operator
Michael Keyl and Reinhard F Werner · 2001
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Optimal sequence of quantum measurements in the sense of stein’s lemma in quantum hypothesis testing
Masahito Hayashi · 2002
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Classical and quantum computation , volume 47
Alexei Yu Kitaev, Alexander Shen, and Mikhail N Vyalyi · 2002
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Simple construction of quantum universal variable-length source coding
Masahito Hayashi and Keiji Matsumoto · 2003
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q-rook monoid algebras, hecke algebras, and schur–weyl duality
Tom Halverson and Arun Ram · 2004
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A most compendious and facile quantum de finetti theorem
Robert Koenig and Graeme Mitchison · 2009
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A numerical algorithm for the explicit calculation of su (n) and sl (n, c) clebsch–gordan coefficients
Arne Alex, Matthias Kalus, Alan Huckleberry, and Jan von Delft · 2011
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Enumerative Combinatorics , volume 1
Richard P Stanley · 2011
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The symmetric group: representations, combinatorial algorithms, and symmetric functions , volume 203
Bruce Sagan · 2013
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Representation of Lie Groups and Special Functions: Volume 3: Classical and Quantum Groups and Special Functions , volume 3
N. Ja. Vilenkin and Anatoliĭ Ulʹi︠a︡novich Klimyk · 2013
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Universal super-replication of unitary gates
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Applications of coherent classical communication and the Schur transform to quantum information theory
Aram W. Harrow · 2005
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Efficient quantum circuits for schur and clebsch-gordan transforms
Dave Bacon, Isaac L. Chuang, and Aram W. Harrow · 2006
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The spectra of quantum states and the kronecker coefficients of the symmetric group
Matthias Christandl and Graeme Mitchison · 2006
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Quantum state estimation and large deviations
Michael Keyl · 2006
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Generic quantum fourier transforms
Cristopher Moore, Daniel Rockmore, and Alexander Russell · 2006
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The quantum schur and clebsch-gordan transforms: I. efficient qudit circuits
Dave Bacon, Isaac L. Chuang, and Aram W. Harrow · 2007
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G Chiribella, Y. Yang, and C. Huang · 2015
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Quantum fourier transforms and the complexity of link invariants for quantum doubles of finite groups
Hari Krovi and Alexander Russell · 2015
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Quantum spectrum testing
Ryan O’Donnell and John Wright · 2015
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Quantum superreplication of states and gates
Giulio Chiribella and Yuxiang Yang · 2016
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Efficient quantum tomography
Ryan O’Donnell and John Wright · 2016
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Optimal compression for identically prepared qubit states
Yuxiang Yang, Giulio Chiribella, and Masahito Hayashi · 2016
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Sample-optimal tomography of quantum states
J. Haah, A. W. Harrow, Z. Ji, X. Wu, and N. Yu · 2017
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Quantum schur sampling circuits can be strongly simulated
Vojtech Havlicek and Sergii Strelchuk · 2018
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