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We discuss upper bounds on the rate at which unitary evolution governed by a non-local Hamiltonian can generate entanglement in a bipartite system.
R. Bhatia, “Matrix Analysis”, Graduate Textx in Mathematics, Springer-Verlag New York (1997)
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W. Dür, G. Vidal, J. I. Cirac, N. Linden, and S. Popescu, “Entanglement capabilities of non-local Hamiltonians”, Phys. Rev. Lett. 87
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J.I. Cirac, W. Dür, B. Kraus, and M. Lewenstein, “Entangling operations and their implementation using a small amount of entanglement”, Phys. Rev. Lett. 86
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C. H. Bennett, A. W. Harrow, D. W. Leung, and J. A. Smolin, “On the capacities of bipartite Hamiltonians and unitary gates”, IEEE Trans. Inf. Theory, Vol. 49
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A. M. Childs, D. W. Leung, F. Verstraete, and G. Vidal, “Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions”, Quantum Information and Computation 3
2003
Cited alongside, same era.
X. Wang and B. Sanders, “Entanglement capability of self-inverse Hamiltonian evolution”, Phys. Rev. A 68
2003
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W. van Dam and P. Hayden, “Universal entanglement transformations without communication”, Phys. Rev. A 67
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A. Childs, D. Leung, and G. Vidal, “Reversible simulation of bipartite product Hamiltonians”, IEEE Trans. Inf. Theory, Vol. 50
2004
Cited alongside, same era.
N. Linden, J. Smolin, and A. Winter, “The entangling and disentangling power of unitary transformations are unequal”, e-print quant-ph/0511217
Cited in the paper.
D. DiVincenzo, M. Horodecki, D. Leung, J. Smolin, and B. Terhal, “Locking classical correlation in quantum states”, Phys. Rev. Lett. 92
2004
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S. Bravyi, M. B. Hastings, and F. Verstraete, “Lieb-Robinson bounds and the generation of correlations and topological quantum order”, Phys. Rev. Lett. 97
2006
Later among the works it cites.
A. Kitaev, private communication (2006)
2006
Later among the works it cites.
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