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We investigate entanglement transformations with stochastic local operations and classical communication (SLOCC) in an asymptotic setting using the concepts of degeneration and border rank of tensors from algebraic complexity theory.
R. Salem, D. C. Spencer, On sets of integers which contain no three terms in arithmetical progression
1942
Earlier work this paper cites.
V. Strassen, Gaussian elimination is not optimal
1969
Earlier work this paper cites.
N. Gastinel, Sur le calcul des produits de matrices
1971
Earlier work this paper cites.
V. Strassen, Relative bilinear complexity and matrix multiplication
1987
Earlier work this paper cites.
D. Coppersmith and S. Winograd, Matrix multiplication via arithmetic progressions
1990
Earlier work this paper cites.
V. Strassen, Degeneration and complexity of bilinear maps: Some asymptotic spectra
1991
Cited alongside, same era.
P. Bürgisser, M. Clausen, and M.A. Shokrollahi. Algebraic Complexity Theory, Grundlehren der mathematischen Wissenschaften
1996
Cited alongside, same era.
W. Dür, G. Vidal, J. I. Cirac, Three qubits can be entangled in two inequivalent ways
2000
Cited alongside, same era.
F. Verstraete, J. Dehaene, B. De Moor, H. Verschelde, Four qubits can be entangled in nine different ways
2002
Cited alongside, same era.
Z. Ji, R. Duan, M. Ying, Comparability of multipartite entanglement
2004
Cited alongside, same era.
A. Schönhage, Partial and total matrix multiplication
Cited in the paper.
D. Bini, G. Lotti, F. Romani, Approximate solutions for the bilinear form computational problem
Cited in the paper.
P. Walther, K. J. Resch, A. Zeilinger, Local conversion of GHZ states to approximate W states
2005
Later among the works it cites.
E. Chitambar, R. Duan, Y. Shi, Tripartite Entanglement Transformations and Tensor Rank
2008
Later among the works it cites.
L. Chen, E. Chitambar, R. Duan, Z. Ji, A. Winter, Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States
2010
Later among the works it cites.
N. Yu, E. Chitambar, C. Guo, R. Duan, The Tensor Rank of the Tripartite State | W ⟩ ⊗ n |W\rangle^{\otimes n}
2010
Later among the works it cites.
N. Yu, C. Guo, R. Duan, Obtain W-state from three-qubit GHZ-state on rate 1
2014
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