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According to the AdS/CFT correspondence, the geometries of certain spacetimes are fully determined by quantum states that live on their boundaries -- indeed, by the von Neumann entropies of portions of those boundary states.
Towards Bulk Metric Reconstruction from Extremal Area Variations
Bao, N., Cao, C., Fischetti, S., and Keeler, C. (2019) · 1904
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Holographic Entropy Cone with Time Dependence in Two Dimensions
Czech, B. and Dong, X. (2019) · 1905
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Holographic Entropy Relations Repackaged
He, T., Headrick, M., and Hubeny, V. E. (2019) · 1905
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Computational pseudorandomness, the wormhole growth paradox, and constraints on the AdS/CFT duality
Bouland, A., Fefferman, B., and Vazirani, U. (2019) · 1910
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The Python’s Lunch: geometric obstructions to decoding Hawking radiation
Brown, A. R., Gharibyan, H., Penington, G., and Susskind, L. (2020) · 1912
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Sur le probleme des courbes gauches en topologie
Kuratowski, C. (1930) · 1930
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Maximal flow through a network
Ford, L. R. and Fulkerson, D. R. (1956) · 1956
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On integer multiflow maximization
Frank, A., Karzanov, A. V., and Sebo, A. (1997) · 1997
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On the turnpike problem
Dakic, T. (2000) · 2000
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Hypergraph min-cuts from quantum entropies
Walter, M. and Witteveen, F. (2021) · 2002
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Entanglement entropy and quantum field theory
Calabrese, P. and Cardy, J. L. (2004) · 2004
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A Gap Between the Hypergraph and Stabilizer Entropy Cones
Bao, N., Cheng, N., Hernández-Cuenca, S., and Su, V. P. (2020) · 2006
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Holographic derivation of entanglement entropy from AdS/CFT
Ryu, S. and Takayanagi, T. (2006) · 2006
Cited alongside, same era.
A Covariant holographic entanglement entropy proposal
Hubeny, V. E., Rangamani, M., and Takayanagi, T. (2007) · 2007
Cited alongside, same era.
Crossing Versus Locking: Bit Threads and Continuum Multiflows
Headrick, M., Held, J., and Herman, J. (2022) · 2008
Cited alongside, same era.
More of the Bulk from Extremal Area Variations
Bao, N., Cao, C., Fischetti, S., Pollack, J., and Zhong, Y. (2021) · 2009
Cited alongside, same era.
Holographic Mutual Information is Monogamous
Hayden, P., Headrick, M., and Maloney, A. (2013) · 2013
Cited alongside, same era.
Cool horizons for entangled black holes
Maldacena, J. and Susskind, L. (2013) · 2013
Cited alongside, same era.
The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2
Bao, N. and Chatwin-Davies, A. (2016) · 2016
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Quantum Max-flow/Min-cut
Cui, S. X., Freedman, M. H., Sattath, O., Stong, R., and Minton, G. (2016) · 2016
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Holographic duality from random tensor networks
Hayden, P., Nezami, S., Qi, X.-L., Thomas, N., Walter, M., and Yang, Z. (2016) · 2016
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The Ryu–Takayanagi Formula from Quantum Error Correction
Harlow, D. (2017) · 2017
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Tensor networks for dynamic spacetimes
May, A. (2017) · 2017
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New constraints for holographic entropy from maximin: A no-go theorem
Rota, M. and Weinberg, S. J. (2018) · 2018
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Extremal Surface Barriers
Engelhardt, N. and Wall, A. C. (2014) · 2014
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Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
Wall, A. C. (2014) · 2014
Cited alongside, same era.
Multipartite Quantum States and their Marginals
Walter, M. (2014) · 2014
Cited alongside, same era.
Bulk Locality and Quantum Error Correction in AdS/CFT
Almheiri, A., Dong, X., and Harlow, D. (2015) · 2015
Cited alongside, same era.
The Holographic Entropy Cone
Bao, N., Nezami, S., Ooguri, H., Stoica, B., Sully, J., and Walter, M. (2015) · 2015
Cited alongside, same era.
Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
Pastawski, F., Yoshida, B., Harlow, D., and Preskill, J. (2015) · 2015
Cited alongside, same era.
Forthcoming Work
Cao, C., Pollack, J., and Way, B. (2022) · 2022
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Maximum flow and minimum-cost flow in almost-linear time
Chen, L., Kyng, R., Liu, Y. P., Peng, R., Gutenberg, M. P., and Sachdeva, S. (2022) · 2022
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Introduction to algorithms
Cormen, T. H., Leiserson, C. E., Rivest, R. L., and Stein, C. (2022) · 2022
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Finding pythons in unexpected places
Engelhardt, N., Penington, G., and Shahbazi-Moghaddam, A. (2022) · 2022
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Symmetrized holographic entropy cone
Fadel, M. and Hernández-Cuenca, S. (2022) · 2022
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An Entropic Lens on Stabilizer States
Keeler, C., Munizzi, W., and Pollack, J. (2022) · 2022
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