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The LU-LC conjecture is an important open problem concerning the structure of entanglement of states described in the stabilizer formalism.
Stabilizer Codes and Quantum Error Correction
D. Gottesman · 1997
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A one-way quantum computer
R. Raussendorf and H. J. Briegel · 2001
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Clifford group, stabilizer states, and linear and quadratic operations over GF(2)
J. Dehaene and B. D. Moor · 2003
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Multi-partite quantum cryptographic protocols with noisy GHZ states, 2004
K. Chen and H.-K. Lo · 2004
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Multiparty entanglement in graph states
M. Hein, J. Eisert, and H. J. Briegel · 2004
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In Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS2004)
M. van den Nest, J. Dehaene, and B. de Moor · 2004
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Efficient algorithm to recognize the local clifford equivalence of graph states
M. van den Nest, J. Dehaene, and B. D. Moor · 2004
Cited alongside, same era.
Graphical description of the action of local clifford transformations on graph states
M. van den Nest, J. Dehaene, and B. D. Moor · 2004
Cited alongside, same era.
On self-dual quantum codes, graphs, and boolean functions, 2005
L. E. Danielsen · 2005
Cited alongside, same era.
Local equivalence of graph states, 2005
D. Schlingemann · 2005
Cited alongside, same era.
Invariants of the local clifford group
M. van den Nest, J. Dehaene, and B. D. Moor · 2005
Cited alongside, same era.
Local unitary versus local clifford equivalence of stabilizer states
M. van den Nest, J. Dehaene, and B. D. Moor · 2005
Cited alongside, same era.
On the classification of all self-dual additive codes over GF(4) of length up to 12
L. E. Danielsen and M. G. Parker · 2006
Later among the works it cites.
Entanglement in graph states and its applications, 2006
M. Hein, W. Dur, J. Eisert, R. Raussendorf, M. van den Nest, and H. J. Briegel · 2006
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The measurement calculus
V. Danos, E. Kashefi, and P. Panangaden · 2007
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Local unitary versus local clifford equivalence of stabilizer and graph states
B. Zeng, H. Chung, A. W. Cross, and I. L. Chuang · 2007
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Transversality versus universality for additive quantum codes, 2007
B. Zeng, A. Cross, and I. L. Chuang · 2007
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The LU-LC conjecture, diagonal local operations and quadratic forms over GF(2)
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Personal communication
M. Grassl and B. Zeng
Cited in the paper.
D. Gross and M. van den Nest · 2008
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