Fetching the paper…
Reading the bibliography…
We construct an efficient quantum algorithm to compute the quantum Schur-Weyl transform for any value of the quantum parameter $q \in [0,\infty]$.
Longest increasing and decreasing subsequences
C. Schensted · 1961
Earlier work this paper cites.
Permutations, matrices, and generalized Young tableaux
Donald Knuth · 1970
Earlier work this paper cites.
Representations of Hecke algebras of finite groups with BN-pairs of classical type
P.N. Hoefsmit · 1974
Earlier work this paper cites.
Quantum groups
V. G. Drinfeld · 1986
Earlier work this paper cites.
A q q -analogue of U ( 𝔤 𝔩 ( N + 1 ) ) U(\mathfrak{gl}(N+1)) , Hecke algebra, and the Yang-Baxter equation
Michio Jimbo · 1986
Earlier work this paper cites.
Quantum Groups
Christian Kassel · 1994
Cited alongside, same era.
The Robinson-Schensted correspondence, crystal bases, and the quantum straightening at q = 0 q=0
Bernard Leclerc and Jean-Yves Thibon · 1996
Cited alongside, same era.
Quantum computation of Fourier transforms over symmetric groups
Robert Beals · 1997
Cited alongside, same era.
Seminormal representations of Weyl groups and Iwahori-Hecke algebras
Arun Ram · 1997
Cited alongside, same era.
Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
Cited alongside, same era.
Representations of U q ( 𝔤 𝔩 ( n , ℂ ) ) U_{q}(\mathfrak{gl}(n,\mathbb{C})) at q = 0 q=0 and the Robinson-Shensted correspondence
Etsurō Date, Michio Jimbo, and Tetsuji Miwa
Cited in the paper.
The Solovay-Kitaev algorithm, arXiv:quant-ph/0505030
Christopher M. Dawson and Michael A. Nielsen
Cited in the paper.
Quantum measurements and the abelian stabilizer problem, arXiv:quant-ph/9511026
Alexei Kitaev
Cited in the paper.
On the power of quantum computation
Daniel R. Simon · 1997
Later among the works it cites.
Quantum Computation and Quantum Information
M. A. Nielsen and I.L. Chuang · 2000
Later among the works it cites.
Howe duality and the quantum general linear group
R.B. Zhang · 2003
Later among the works it cites.
Generic quantum Fourier transforms
Cristopher Moore, Daniel Rockmore, and Alexander Russell · 2004
Later among the works it cites.
Efficient quantum circuits for Schur and Clebsch-Gordan transforms
Dave Bacon, Isaac L. Chuang, and Aram W. Harrow · 2006
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…