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We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians.
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W. Dür, G. Vidal, J. I. Cirac, N. Linden, and S. Popescu · 2001
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E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
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On the capacities of bipartite Hamiltonians and unitary gates
C. H. Bennett, A. W. Harrow, D. W. Leung, and J. A. Smolin · 2003
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Asymptotic entanglement capacity of the Ising and anisotropic Heisenberg interactions
A. M. Childs, D. W. Leung, F. Verstraete, and G. Vidal · 2003
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Entanglement capability of a self-inverse Hamiltonian evolution
X. Wang and B. C. Sanders · 2003
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Reversible simulation of bipartite product Hamiltonians
A. M. Childs, D. W. Leung, and G. Vidal · 2004
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Locking classical correlations in quantum states
D. P. DiVincenzo, M. Horodecki, D. W. Leung, J. A. Smolin, and B. M. Terhal · 2004
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Lieb-Schultz-Mattis in higher dimensions
M. B. Hastings · 2004
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Entanglement flow in multipartite systems
T. S. Cubitt, F. Verstraete, and J. I. Cirac · 2005
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M. Schlosshauer · 2005
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M. B. Hastings and T. Koma · 2006
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P. Hayden, D. W. Leung, and A. Winter · 2006
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A. Kitaev · 2006
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Locality in quantum systems
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M. Hastings · 2010
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On the existence of the dynamics for anharmonic quantum oscillator systems
B. Nachtergaele, B. Schlein, R. Sims, S. Starr, and V. Zagrebnov · 2010
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X. Chen, Z.-C. Gu, and X.-G. Wen · 2011
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Local stabilizer codes in three dimensions without string logical operators
J. Haah · 2011
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Classifying quantum phases using matrix product states and projected entangled pair states
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Propagation of correlations in quantum lattice systems
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Lieb-Robinson bounds and the exponential clustering theorem
B. Nachtergaele and R. Sims · 2006
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Matrix product states represent ground states faithfully
F. Verstraete and J. I. Cirac · 2006
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A sharp continuity estimate for the von Neumann entropy
K. M. Audenaert · 2007
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Problems and conjectures in matrix and operator inequalities
K. M. Audenaert and F. Kittaneh · 2012
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Automorphic equivalence within gapped phases of quantum lattice systems
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Almost all quantum states have low entropy rates for any coupling to the environment
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Models for gapped boundaries and domain walls
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Protected edge modes without symmetry
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E. H. Lieb and A. Vershynina · 2013
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Entanglement rates and area laws
K. Van Acoleyen, M. Mariën, and F. Verstraete · 2013
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