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- Ashley Milsted

California Institute of Technology (Caltech) - Institute for Quantum Information (IQI)

Areas of Research:

I am interested in how tensor networks capture aspects (e.g. symmetries) of continuum physics in lattice models considered as regularizations of quantum field theories. I have worked on Matrix Product State simulations of field theories, and have more recently investigated the emergence of conformal symmetry in critical spin chains. Understanding the latter can reveal connections between entanglement and geometry which may be relevant to the AdS/CFT correspondance.

- Yijian Zou, Ashley Milsted, and Guifre Vidal, Conformal Data and Renormalization Group Flow in Critical Quantum Spin Chains Using Periodic Uniform Matrix Product States, Phys. Rev. Lett. 121, 230402, arXiv: 1710.05397
- Ashley Milsted and Tobias J. Osborne, Quantum Yang-Mills theory: an overview of a programme, Phys. Rev. D 98, 014505, arXiv: 1604.01979
- Ashley Milsted and Guifre Vidal, Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula, Phys. Rev. B 96, 245105, arXiv: 1706.01436
- Ashley Milsted, Matrix product states and the non-Abelian rotor model, Phys. Rev. D 93, 085012, arXiv: 1507.06624
- TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models, Martin Ganahl, Ashley Milsted, Stefan Leichenauer, Jack Hidary, Guifre Vidal, arXiv: 1906.12030
- TensorNetwork on TensorFlow: A Spin Chain Application Using Tree Tensor Networks, Ashley Milsted, Martin Ganahl, Stefan Leichenauer, Jack Hidary, Guifre Vidal, arXiv: 1905.01331
- TensorNetwork: A Library for Physics and Machine Learning, Chase Roberts, Ashley Milsted, Martin Ganahl, Adam Zalcman, Bruce Fontaine, Yijian Zou, Jack Hidary, Guifre Vidal, Stefan Leichenauer, arXiv: 1905.01330
- Conformal fields and operator product expansion in critical quantum spin chains, Yijian Zou, Ashley Milsted, Guifre Vidal, arXiv: 1901.06439
- Geometric interpretation of the multi-scale entanglement renormalization ansatz, Ashley Milsted, Guifre Vidal, arXiv: 1812.00529
- Tensor networks as path integral geometry, Ashley Milsted and Guifre Vidal, arXiv: 1807.02501
- Tensor networks as conformal transformations, Ashley Milsted and Guifre Vidal, arXiv: 1805.12524
- Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states, Yijian Zou, Ashley Milsted, Guifre Vidal, arXiv: 1710.05397

- "Emergence of conformal symmetry in critical quantum spin chains and tensor networks", NCGOA 2019, Vanderbilt University
- "Tensor networks, conformal transformations, and path-integral geometry", TNSAA 2018/2019, Kobe, Japan
- "Conformal transformations, tensor networks, and path-integral geometry", C.N. Yang Institute, Stony Brook University
- "Tensor Networks for Fine-Graining Lattice Gauge Theory, and Also Path Integral Geometry", Fermilab
- "Tensor Networks as Conformal Transformations", AEI Potsdam
- "Conformal transformations, lattice systems and tensor networks", Oxford University
- "Extraction of Conformal Data in Critical Spin Chains Using the Koo-Saleur Formula and Periodic Uniform Matrix Product States", APS March Meeting 2018
- "Tensor Networks and Conformal Data: Koo-Saleur formula and periodic MPS", Caltech
- "Koo-Saleur formula, periodic MPS and an RG flow", Microsoft Station Q, Santa Barbara
- "Tensor Networks and Conformal Data: Koo-Saleur formula and periodic MPS", USC Los Angeles
- PIRSA:17040033, Emergence of conformal symmetry in critical spin chains, 2017-04-18, Tensor Networks for Quantum Field Theories II
- PIRSA:14110178, Tensor Networks for nonabelian Gauge Theory, 2014-11-25, Condensed Matter

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