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High-dimensional quantum entanglement can give rise to stronger forms of nonlocal correlations compared to qubit systems, offering significant advantages for quantum information processing.
Geometrical description of quantal state determination
I. D. Ivanovic · 1981
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Quantum measurements and stochastic processes
N. Gisin · 1984
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A complete classification of quantum ensembles having a given density matrix
L. P. Hughston, R. Jozsa, and W. K. Wootters · 1993
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Schmidt number for density matrices
B. M. Terhal and P. Horodecki · 2000
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Schmidt-number witnesses and bound entanglement
A. Sanpera, D. Bruß, and M. Lewenstein · 2001
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Experimental two-photon, three-dimensional entanglement for quantum communication
A. Vaziri, G. Weihs, and A. Zeilinger · 2002
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Security of quantum key distribution using d \mathit{d} -level systems
N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin · 2002
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Bell-type test of energy-time entangled qutrits
R. T. Thew, A. Acín, H. Zbinden, and N. Gisin · 2004
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Convex Optimization
S. Boyd and L. Vandenberghe · 2004
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Steering, entanglement, nonlocality, and the Einstein–Podolsky–Rosen paradox
H. M. Wiseman, S. J. Jones, and A. C. Doherty · 2007
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Testing the dimension of Hilbert spaces
N. Brunner, S. Pironio, A. Acín, N. Gisin, A. A. Méthot, and V. Scarani · 2008
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The Einstein–Podolsky–Rosen paradox: from concepts to applications
M. D. Reid, P. D. Drummond, W. P. Bowen, E. G. Cavalcanti, P. K. Lam, H. A. Bachor, U. L. Andersen, and G. Leuchs · 2009
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Closing the detection loophole in Bell experiments using qudits
T. Vértesi, S. Pironio, and N. Brunner · 2010
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Security proof for quantum key distribution using qudit systems
L. Sheridan and V. Scarani · 2010
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Experimental EPR-steering using Bell-local states
D. J. Saunders, S. J. Jones, H. M. Wiseman, and G. J. Pryde · 2010
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Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities
A. C. Dada, J. Leach, G. S. Buller, M. J. Padgett, and E. Andersson · 2011
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Conclusive quantum steering with superconducting transition-edge sensors
D. H. Smith, G. Gillett, M. P. de Almeida, C. Branciard, A. Fedrizzi, T. J. Weinhold, A. Lita, B. Calkins, T. Gerrits, H. M. Wiseman, S. W. Nam, and A. G. White · 2012
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Loophole-free Einstein–Podolsky–Rosen experiment via quantum steering
B. Wittmann, S. Ramelow, F. Steinlechner, N. K. Langford, N. Brunner, H. M. Wiseman, R. Ursin, and A. Zeilinger · 2012
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Arbitrarily loss-tolerant Einstein–Podolsky–Rosen steering allowing a demonstration over 1 km of optical fiber with no detection loophole
A. J. Bennet, D. A. Evans, D. J. Saunders, C. Branciard, E. G. Cavalcanti, H. M. Wiseman, and G. J. Pryde · 2012
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Higher-dimensional orbital-angular-momentum-based quantum key distribution with mutually unbiased bases
M. Mafu, A. Dudley, S. Goyal, D. Giovannini, M. McLaren, M. J. Padgett, T. Konrad, F. Petruccione, N. Lütkenhaus, and A. Forbes · 2013
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Weak randomness in device-independent quantum key distribution and the advantage of using high-dimensional entanglement
M. Huber and M. Pawłowski · 2013
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Joint measurability, Einstein–Podolsky–Rosen steering, and Bell nonlocality
M. T. Quintino, T. Vértesi, and N. Brunner · 2014
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Joint measurability of generalized measurements implies classicality
R. Uola, T. Moroder, and O. Gühne · 2014
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High-dimensional quantum cryptography with twisted light
M. Mirhosseini, O. S. Magaña-Loaiza, M. N. O’Sullivan, B. Rodenburg, M. Malik, M. P. J. Lavery, M. J. Padgett, D. J. Gauthier, and R. W. Boyd · 2015
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Inequivalence of entanglement, steering, and Bell nonlocality for general measurements
M. T. Quintino, T. Vértesi, D. Cavalcanti, R. Augusiak, M. Demianowicz, A. Acín, and N. Brunner · 2015
Cited alongside, same era.
Loss-tolerant Einstein–Podolsky–Rosen steering for arbitrary-dimensional states: joint measurability and unbounded violations under losses
P. Skrzypczyk and D. Cavalcanti · 2015
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Continuous-variable steering and incompatibility via state-channel duality
J. Kiukas, C. Budroni, R. Uola, and J.-P. Pellonpää · 2017
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Multidimensional quantum entanglement with large-scale integrated optics
J. Wang, S. Paesani, Y. Ding, R. Santagati, P. Skrzypczyk, A. Salavrakos, J. Tura, R. Augusiak, L. Mančinska, D. Bacco, D. Bonneau, J. W. Silverstone, Q. Gong, A. Acín, K. Rottwitt, L. K. Oxenløwe, J. L. O’Brien, A. Laing, and M. G. Thompson · 2018
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Measurements in two bases are sufficient for certifying high-dimensional entanglement
J. Bavaresco, N. H. Valencia, C. Klöckl, M. Pivoluska, P. Erker, N. Friis, M. Malik, and M. Huber · 2018
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Certification of high-dimensional entanglement and Einstein–Podolsky–Rosen steering with cold atomic quantum memory
M. Dąbrowski, M. Mazelanik, M. Parniak, A. Leszczyński, M. Lipka, and W. Wasilewski · 2018
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Experimental witness of genuine high-dimensional entanglement
Y. Guo, X.-M. Hu, B.-H. Liu, Y.-F. Huang, C.-F. Li, and G.-C. Guo · 2018
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Unbounded violation of quantum steering inequalities
M. Marciniak, A. Rutkowski, Z. Yin, M. Horodecki, and R. Horodecki · 2015
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Hierarchy of steering criteria based on moments for all bipartite quantum systems
I. Kogias, P. Skrzypczyk, D. Cavalcanti, A. Acín, and G. Adesso · 2015
Cited alongside, same era.
Necessary and sufficient quantum information characterization of Einstein–Podolsky–Rosen steering
M. Piani and J. Watrous · 2015
Cited alongside, same era.
One-to-one mapping between steering and joint measurability problems
R. Uola, C. Budroni, O. Gühne, and J.-P. Pellonpää · 2015
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Multi-photon entanglement in high dimensions
M. Malik, M. Erhard, M. Huber, M. Krenn, R. Fickler, and A. Zeilinger · 2016
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A new device-independent dimension witness and its experimental implementation
Y. Cai, J.-D. Bancal, J. Romero, and V. Scarani · 2016
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Quantum steering: a review with focus on semidefinite programming
D. Cavalcanti and P. Skrzypczyk · 2016
Cited alongside, same era.
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Maximal randomness generation from steering inequality violations using qudits
P. Skrzypczyk and D. Cavalcanti · 2018
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Experimental high-dimensional Einstein–Podolsky–Rosen steering
Q. Zeng, B. Wang, P. Li, and X. Zhang · 2018
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Measuring azimuthal and radial modes of photons
F. Bouchard, N. H. Valencia, F. Brandt, R. Fickler, M. Huber, and M. Malik · 2018
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Entanglement certification from theory to experiment
N. Friis, G. Vitagliano, M. Malik, and M. Huber · 2019
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Overcoming noise in entanglement distribution
S. Ecker, F. Bouchard, L. Bulla, F. Brandt, O. Kohout, F. Steinlechner, R. Fickler, M. Malik, Y. Guryanova, R. Ursin, and M. Huber · 2019
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High-dimensional quantum communication: benefits, progress, and future challenges
D. Cozzolino, B. Da Lio, D. Bacco, and L. K. Oxenløwe · 2019
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Quantifying entanglement in a 68-billion-dimensional quantum state space
J. Schneeloch, C. C. Tison, M. L. Fanto, P. M. Alsing, and G. A. Howland · 2019
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Experimental measurement-device-independent quantum steering and randomness generation beyond qubits
Y. Guo, S. Cheng, X. Hu, B.-H. Liu, E.-M. Huang, Y.-F. Huang, C.-F. Li, G.-C. Guo, and E. G. Cavalcanti · 2019
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Quantifying measurement incompatibility of mutually unbiased bases
S. Designolle, P. Skrzypczyk, F. Fröwis, and N. Brunner · 2019
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Incompatibility robustness of quantum measurements: a unified framework
S. Designolle, M. Farkas, and J. Kaniewski · 2019
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Quantifying quantum resources with conic programming
R. Uola, T. Kraft, J. Shang, X.-D. Yu, and O. Gühne · 2019
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Unscrambling entanglement through a complex medium
N. H. Valencia, S. Goel, W. McCutcheon, H. Defienne, and M. Malik · 2020
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High-dimensional pixel entanglement: efficient generation and certification
N. Herrera Valencia, V. Srivastav, M. Pivoluska, M. Huber, N. Friis, W. McCutcheon, and M. Malik · 2020
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Quantum steering
R. Uola, A. C. S. Costa, H. C. Nguyen, and O. Gühne · 2020
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Is high-dimensional photonic entanglement robust to noise?
F. Zhu, M. Tyler, N. H. Valencia, M. Malik, and J. Leach · 2021
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