# // About me

I am a research scientist at the
Flatiron Institute
Center for Computational Quantum Physics (CCQ) where I develop
and apply tensor network computational methods, primarily for quantum many-body systems.

[See my notes on matrix product states and DMRG.]

Tensor networks are a technique to represent very high-order tensors by a contracted network of low-order tensors, allowing one to make an exponential reduction in the parameters needed, while still maintaining accuracy. The prototypical application is the approximation of a many-body quantum wavefunction, but tensor networks are also useful for approximating transfer matrices of classical systems and weights of models used in machine learning.

Download my CV

# // Experience

#### Research Scientist — Flatiron Institute

###### Sep 2017-Present

- Development of the ITensor library, including a port to the Julia language.
- DMRG approach to optimizing PEPS
- Extensions and applications of finite-temperature tensor network methods

#### Research Scientist — UC Irvine

Feb 2016-Aug 2017- Scalable "sliced basis" approach for applying DMRG to quantum chemistry
- Proposed a machine learning framework based on powerful tensor network techniques developed in physics. Video and talk slides.

#### Postdoctoral Researcher — Perimeter Institute for Theoretical Physics

2013-Jan 2016- Showed an isotropic, nearest-neighbor 2d parafermion lattice model hosts a non-trivial phase supporting Fibonacci anyons
- Performed highly cited calculations of universal entanglement terms in critical systems arising from sharp corners
- Significantly expanded the user base of the ITensor library and developed an ambitious new version 2.0 design

#### Postdoctoral Researcher — UC Irvine

#### Groups of Steven R. White and Kieron Burke

2010-2013- Discovered a method for parallelizing the density matrix renormalization group in real space.
- Co-developed an open source library for tensor product wavefunction algorithms. Website: http://itensor.org/.

#### Graduate Student Researcher — UC Santa Barbara

#### Advisor: Leon Balents

2005-2010- Applied a variety of analytical methods (bosonization, mean-field, spin wave, high temperature series, Monte Carlo) to study frustrated magnets.
- Collaborated with Steven R. White on a new method for simulating finite temperature quantum systems (the METTS algorithm).

# // Education

2005-2010 Ph.D. in Physics, UC Santa Barbara. Advisor: Leon Balents 2000-2005 BS in Physics, Georgia Institute of Technology. Highest honors. 2000-2005 BS in Mathematics, Georgia Institute of Technology. Highest honors.# // Publications

2020*"Hybrid Purification and Sampling Approach for Thermal Quantum Systems"*, Jing Chen,

**E.M. Stoudenmire**,

*Phys. Rev. B*,

**101**: 195119 [arxiv:1910.09142]

*"Modeling Sequences with Quantum States: A Look Under the Hood"*

Tai-Danae Bradley,

**E.M. Stoudenmire**, John Terilla, arxiv:1910.07425

*"DMRG Approach to Optimizing Two-Dimensional Tensor Networks"*

Katharine Hyatt,

**E.M. Stoudenmire**, arxiv:1908.08833

*"Multisliced gausslet basis sets for electronic structure"*

Steven R. White,

**E.M. Stoudenmire**

*Phys. Rev. B*,

**99**: 081110(R) [arxiv:1803.11537]

*"Towards Quantum Machine Learning with Tensor Networks"*

William Huggins, Piyush Patel, K. Birgitta Whaley,

**E.M. Stoudenmire**

*Quantum Science and Technology*,

**4**: 024001 [arxiv:1803.11537]

*"Learning Relevant Features of Data with Multi-scale Tensor Networks"*

**E.M. Stoudenmire**,

*Quantum Science and Technology*,

**3**: 034003 1801.00315

*Quant. Sci. Tech.*,

**3**: 034003

*"Monte Carlo Tensor Network Renormalization"*

William Huggins, C. Daniel Freeman,

**E.M. Stoudenmire**, Norm M. Tubman, K. Birgitta Whaley 1710.03757

*"Matrix product state techniques for two-dimensional systems at finite temperature"*

Benedikt Bruognolo, Zhenyue Zhu, Steven R. White,

**E.M. Stoudenmire**1705.05578

*"Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods"*

Mario Motta, David M. Ceperley, Garnet Kin-Lic Chan, John A. Gomez, Emanuel Gull, Sheng Guo, Carlos Jimenez-Hoyos, Tran Nguyen Lan, Jia Li, Fengjie Ma, Andrew J. Millis, Nikolay V. Prokof'ev, Ushnish Ray, Gustavo E. Scuseria, Sandro Sorella,

**Edwin M. Stoudenmire**, Qiming Sun, Igor S. Tupitsyn, Steven R. White, Dominika Zgid, Shiwei Zhang 1705.01608

*"Sliced Basis Density Matrix Renormalization Group for Electronic Structure"*

**E.M. Stoudenmire**and Steven R. White

*Phys. Rev. Lett.*,

**119**: 046401

*"Supervised Learning with Quantum-Inspired Tensor Networks"*

**E.M. Stoudenmire**and David J. Schwab Advances in Neural Information Processing Systems, 29 4799

*"Unusual Corrections to Scaling and Convergence of Universal Renyi Properties at Quantum Critical Points"*

Sharmistha Sahoo,

**E.M. Stoudenmire**, Jean-Marie Stephan, Trithep Devakul, Rajiv R.P. Singh, and Roger Melko,

*Phys. Rev. B*,

**93**: 085120

*"One Dimensional Mimicking of Electronic Structure: The Case for Exponentials"*

Thomas E. Baker,

**E.M. Stoudenmire**, Lucas O. Wagner, Kieron Burke, and Steven R. White,

*Phys. Rev. B*,

**91**: 235141

*"Many-body localization in disorder-free systems: The importance of finite-size constraints"*

Z. Papic,

**E.M. Stoudenmire**, and Dmitry A. Abanin,

*Ann. Phys.*

**362**714

*"Assembling Fibonacci Anyons From a Z*

_{3}Parafermion Lattice Model"**E.M. Stoudenmire**, David J. Clarke, Roger S. K. Mong, and Jason Alicea,

*Phys. Rev. B*,

**91**: 235112 [

**Editor's suggestion**]

*"Corner Contributions to the Entanglement Entropy of Strongly-Interacting O(2) Quantum Critical Systems in 2+1 Dimensions"*

**E.M. Stoudenmire**, Peter Gustainis, Ravi Johal, Stefan Wessel, and Roger G. Melko,

*Phys. Rev. B*,

**90**: 235106

*"Kohn-Sham Calculations with the Exact Functional"*

Lucas O. Wagner, Thomas E. Baker,

**E.M. Stoudenmire**, Kieron Burke, and Steven R. White,

*Phys. Rev. B*,

**90**: 045109 [

**Editor's suggestion**]

*"Corner contribution to the entanglement entropy of an O(3) quantum critical point in 2+1 dimensions"*

Ann Kallin,

**E.M. Stoudenmire**, Paul Fendley, Rajiv R.P. Singh, Roger G. Melko,

*J. Stat. Mech.*P06009

*"Guaranteed Convergence of the Kohn-Sham Equations"*

Lucas O. Wagner,

**E.M. Stoudenmire**, Kieron Burke, and Steven R. White,

*Phys. Rev. Lett.*

**111**: 093003 [

**Editor's suggestion**]

*"Real-Space Parallel Density Matrix Renormalization Group"*

**E.M. Stoudenmire**and Steven R. White,

*Phys. Rev. B*

**87**: 115137

*"Topological phases in polar-molecule quantum magnets"*

Salvatore R. Manmana,

**E.M. Stoudenmire**, Kaden R.A. Hazzard, Ana Maria Rey and Alexey Gorshkov,

*Phys. Rev. B*

**87**: 081106(R)

*"One-dimensional continuum electronic structure with the density matrix renormalization group and its implications for density functional theory"*

**E.M. Stoudenmire**, Lucas O. Wagner, Steven R. White and Kieron Burke,

*Phys. Rev. Lett.*

**109**: 056402

*"Reference electronic structure calculations in one dimension"*

Lucas O. Wagner,

**E.M. Stoudenmire**, Steven R. White and Kieron Burke,

*Phys. Chem. Chem. Phys.*

**14**: 8581

*"Studying two-dimensional systems with the density matrix renormalization group"*

**E.M. Stoudenmire**and Steven R. White,

*Annual Reviews of Condensed Matter Physics*

**3**: 111

*"Interaction effects in topological superconducting wires supporting majorana fermions"*

**E.M. Stoudenmire**, Jason Alicea, Oleg A. Starykh and Matthew P.A. Fisher,

*Phys. Rev. B*

**84**: 014503

[

**Editor's suggestion**, Synopsis Article]

*"Minimally entangled typical thermal state algorithms"*

**E.M. Stoudenmire**and Steven R. White,

*New J. Phys.*

**12**: 055026

*"Quadrupolar correlations and spin freezing in S=1 triangular lattice antiferromagnets"*

**E.M. Stoudenmire**, Simon Trebst and Leon Balents,

*Phys. Rev. B*

**79**: 214436

*"Ordered phases of the anisotropic kagome lattice antiferromagnet in a field"*

**E.M. Stoudenmire**and Leon Balents,

*Phys. Rev. B*

**77**: 174414

*"Magnetoresistive effects in ferromagnet-superconductor multilayers"*

**E.M. Stoudenmire**and C.A.R. Sá de Melo,

*J. Appl. Phys.*

**97**: 10J108