On Quantum Optimal Transport
暂无分享,去创建一个
[1] Alexander Muller-Hermes. On the monotonicity of a quantum optimal transport cost , 2022, 2211.11713.
[2] K. Życzkowski,et al. Monotonicity of a quantum 2-Wasserstein distance , 2022, Journal of Physics A: Mathematical and Theoretical.
[3] S. Friedland,et al. Quantum Monge-Kantorovich Problem and Transport Distance between Density Matrices. , 2021, Physical review letters.
[4] S. Lloyd,et al. Learning quantum data with the quantum earth mover’s distance , 2021, Quantum Science and Technology.
[5] Rocco Duvenhage. Quadratic Wasserstein metrics for von Neumann algebras via transport plans , 2020, 2012.03564.
[6] Seth Lloyd,et al. The Quantum Wasserstein Distance of Order 1 , 2020, IEEE Transactions on Information Theory.
[7] S. Friedland. Tensor optimal transport, distance between sets of measures and tensor scaling , 2020, ArXiv.
[8] G. De Palma,et al. Quantum Optimal Transport with Quantum Channels , 2019, Annales Henri Poincaré.
[9] Shouvanik Chakrabarti,et al. Quantum Wasserstein Generative Adversarial Networks , 2019, NeurIPS.
[10] Emanuele Caglioti,et al. Quantum Optimal Transport is Cheaper , 2019, ArXiv.
[11] Jing Liu,et al. Quantum Fisher information matrix and multiparameter estimation , 2019, Journal of Physics A: Mathematical and Theoretical.
[12] Kazuki Ikeda. Foundation of quantum optimal transport and applications , 2019, Quantum Information Processing.
[13] S. Friedland,et al. Quantum Strassen’s theorem , 2019, 1905.06865.
[14] S. Gaubert,et al. Matrix versions of the Hellinger distance , 2019, Letters in Mathematical Physics.
[15] E. Carlen,et al. Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems , 2018, Journal of statistical physics.
[16] Daniel Klein,et al. The properties of partial trace and block trace operators of partitioned matrices , 2018 .
[17] Seth Lloyd,et al. Quantum Generative Adversarial Learning. , 2018, Physical review letters.
[18] Mingsheng Ying,et al. Quantum earth mover’s distance, a no-go quantum Kantorovich–Rubinstein theorem, and quantum marginal problem , 2018, Journal of Mathematics and Physics.
[19] Gero Friesecke,et al. Breaking the Curse of Dimension in Multi-Marginal Kantorovich Optimal Transport on Finite State Spaces , 2017, SIAM J. Math. Anal..
[20] Krysta Marie Svore,et al. Quantum Speed-Ups for Solving Semidefinite Programs , 2017, 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS).
[21] N. Datta,et al. Relating Relative Entropy, Optimal Transport and Fisher Information: A Quantum HWI Inequality , 2017, Annales Henri Poincaré.
[22] Léon Bottou,et al. Wasserstein Generative Adversarial Networks , 2017, ICML.
[23] Thierry Paul,et al. WAVE PACKETS AND THE QUADRATIC MONGE-KANTOROVICH DISTANCE IN QUANTUM MECHANICS , 2017, 1707.04161.
[24] Jason Altschuler,et al. Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration , 2017, NIPS.
[25] Jérémie Bigot,et al. Geodesic PCA in the Wasserstein space by Convex PCA , 2017 .
[26] W. Gangbo,et al. On the matrix Monge–Kantorovich problem , 2017, European Journal of Applied Mathematics.
[27] F. Fagnola,et al. On quantum versions of the classical Wasserstein distance , 2017 .
[28] S. Lloyd,et al. Quantum machine learning , 2016, Nature.
[29] Nicolas Courty,et al. Wasserstein discriminant analysis , 2016, Machine Learning.
[30] Victor M. Panaretos,et al. Amplitude and phase variation of point processes , 2016, 1603.08691.
[31] Zoubin Ghahramani,et al. Statistical Model Criticism using Kernel Two Sample Tests , 2015, NIPS.
[32] Tommi S. Jaakkola,et al. Principal Differences Analysis: Interpretable Characterization of Differences between Distributions , 2015, NIPS.
[33] Shmuel Friedland,et al. Matrices: Algebra, Analysis And Applications , 2015 .
[34] Andreas J. Winter,et al. Tight Uniform Continuity Bounds for Quantum Entropies: Conditional Entropy, Relative Entropy Distance and Energy Constraints , 2015, ArXiv.
[35] Gabriel Peyré,et al. Convolutional wasserstein distances , 2015, ACM Trans. Graph..
[36] T. Paul,et al. On the Mean Field and Classical Limits of Quantum Mechanics , 2015, Communications in Mathematical Physics.
[37] Marco Cuturi,et al. Sinkhorn Distances: Lightspeed Computation of Optimal Transport , 2013, NIPS.
[38] Wolfgang Heidrich,et al. Displacement interpolation using Lagrangian mass transport , 2011, ACM Trans. Graph..
[39] C. Villani. Optimal Transport: Old and New , 2008 .
[40] Jaroslaw Adam Miszczak,et al. Sub- and super-fidelity as bounds for quantum fidelity , 2008, Quantum Inf. Comput..
[41] N. Langford,et al. Distance measures to compare real and ideal quantum processes (14 pages) , 2004, quant-ph/0408063.
[42] M. Keyl. Fundamentals of quantum information theory , 2002, quant-ph/0202122.
[43] Wojciech Słomczyński,et al. The Monge metric on the sphere and geometry of quantum states , 2000, quant-ph/0008016.
[44] D. Voiculescu,et al. A free probability analogue of the Wasserstein metric on the trace-state space , 2000, math/0006044.
[45] Wojciech Słomczyński,et al. The Monge distance between quantum states , 1997, quant-ph/9711011.
[46] M. Horodecki,et al. Separability of mixed states: necessary and sufficient conditions , 1996, quant-ph/9605038.
[47] Pérès,et al. Separability Criterion for Density Matrices. , 1996, Physical review letters.
[48] Stephen P. Boyd,et al. Semidefinite Programming , 1996, SIAM Rev..
[49] R. Jozsa. Fidelity for Mixed Quantum States , 1994 .
[50] S. Braunstein,et al. Statistical distance and the geometry of quantum states. , 1994, Physical review letters.
[51] Werner,et al. Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model. , 1989, Physical review. A, General physics.
[52] A. Uhlmann. The "transition probability" in the state space of a ∗-algebra , 1976 .
[53] L. V. Kantorovich,et al. Mathematical Methods of Organizing and Planning Production , 1960 .
[54] J. Schwinger. THE GEOMETRY OF QUANTUM STATES. , 1960, Proceedings of the National Academy of Sciences of the United States of America.
[55] F. L. Hitchcock. The Distribution of a Product from Several Sources to Numerous Localities , 1941 .
[56] Maria L. Rizzo,et al. TESTING FOR EQUAL DISTRIBUTIONS IN HIGH DIMENSION , 2004 .
[57] M. R. Rao,et al. Combinatorial Optimization , 1992, NATO ASI Series.