Equivalence of restricted Boltzmann machines and tensor network states

Wang, Lei; Xie, Haidong; Chen, Jing; Cheng, Song Zhi; Xiang, Tao

doi:10.1103/PhysRevB.97.085104

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Equivalence of restricted Boltzmann machines and tensor network states

Author(s): Jing Chen , Song Cheng , Haidong Xie , Lei Wang , Tao Xiang

Publication date (Print): February 2 2018

Journal: Physical Review B

Publisher: American Physical Society (APS)

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Tensor Decompositions and Applications

Tamara G. Kolda, Brett W. Bader (2009)

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Quantum Computation and Quantum Information

Michael Nielsen, Isaac Chuang (2010)

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Is Open Access

Fault-tolerant quantum computation by anyons

A. Kitaev (1997)

A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other. Measurements can be performed by joining excitations in pairs and observing the result of fusion. Such computation is fault-tolerant by its physical nature.