publications

2024

1. Learning shallow quantum circuits

   Hsin-Yuan Huang , Yunchao Liu , Michael Broughton , Isaac H. Kim, Anurag Anshu , Zeph Landau , and Jarrod R. McClean

   2024

   arXiv Bib PDF

   @misc{Huang2024,
     title = {Learning shallow quantum circuits},
     author = {Huang, Hsin-Yuan and Liu, Yunchao and Broughton, Michael and Kim, Isaac H. and Anshu, Anurag and Landau, Zeph and McClean, Jarrod R.},
     year = {2024},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2023

1. 

   Experimental demonstration of the advantage of adaptive quantum circuits

   M. Foss-Feig , Arkin Tikku , Tsung-Cheng Lu , K. Mayer , Mohsin Iqbal , T. Gatterman , J. Gerber , K. Gilmore , D. Gresh , A. Hankin , Nathan H. Hewitt , Chandler V. Horst , M. Matheny , Tanner Mengle , B. Neyenhuis , Henrik Dreyer , D. Hayes , T. Hsieh , and Isaac H. Kim

   2023

   arXiv Bib PDF

   @misc{FossFeig2023Experimental,
     title = {Experimental demonstration of the advantage of adaptive quantum circuits},
     author = {Foss-Feig, M. and Tikku, Arkin and Lu, Tsung-Cheng and Mayer, K. and Iqbal, Mohsin and Gatterman, T. and Gerber, J. and Gilmore, K. and Gresh, D. and Hankin, A. and Hewitt, Nathan H. and Horst, Chandler V. and Matheny, M. and Mengle, Tanner and Neyenhuis, B. and Dreyer, Henrik and Hayes, D. and Hsieh, T. and Kim, Isaac H.},
     year = {2023},
     eprint = {2302.03029},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2. Complementarity and the unitarity of the black hole S-matrix

   Isaac H. Kim, and J. Preskill

   Journal of High Energy Physics, 2023

   arXiv Bib PDF

   @article{Kim2023Complementarity,
     title = {Complementarity and the unitarity of the black hole S-matrix},
     author = {Kim, Isaac H. and Preskill, J.},
     year = {2023},
     journal = {Journal of High Energy Physics},
     volume = {2023},
     number = {233},
     doi = {10.1007/JHEP02(2023)233},
     url = {https://dx.doi.org/10.1007/JHEP02(2023)233},
   }

3. A new operator extension of strong subadditivity of quantum entropy

   Ting-Chun Lin , Isaac H. Kim, and Min-Hsiu Hsieh

   Letters in Mathematical Physics, 2023

   arXiv Bib PDF

   @article{Lin2023NewOperator,
     title = {A new operator extension of strong subadditivity of quantum entropy},
     author = {Lin, Ting-Chun and Kim, Isaac H. and Hsieh, Min-Hsiu},
     year = {2023},
     journal = {Letters in Mathematical Physics},
     volume = {113},
     number = {2},
     doi = {10.1007/s11005-023-01688-6},
     url = {https://dx.doi.org/10.1007/s11005-023-01688-6},
   }

4. Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction

   Zhaoyi Li , Isaac H. Kim, and Patrick Hayden

   Quantum, Aug 2023

   arXiv Bib PDF

   @article{Li2023concatenation,
     doi = {10.22331/q-2023-08-22-1089},
     url = {https://doi.org/10.22331/q-2023-08-22-1089},
     title = {Concatenation {S}chemes for {T}opological {F}ault-tolerant {Q}uantum {E}rror {C}orrection},
     author = {Li, Zhaoyi and Kim, Isaac H. and Hayden, Patrick},
     journal = {{Quantum}},
     issn = {2521-327X},
     publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}},
     volume = {7},
     pages = {1089},
     month = aug,
     year = {2023},
   }

5. Qubit recycling and the path-counting problem

   Zijian Song , and Isaac H. Kim

   Phys. Rev. A, Oct 2023

   arXiv Bib PDF

   @article{Song2023,
     title = {Qubit recycling and the path-counting problem},
     author = {Song, Zijian and Kim, Isaac H.},
     journal = {Phys. Rev. A},
     volume = {108},
     issue = {4},
     pages = {042416},
     numpages = {14},
     year = {2023},
     month = oct,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevA.108.042416},
     url = {https://link.aps.org/doi/10.1103/PhysRevA.108.042416},
   }

6. Universal Lower Bound on Topological Entanglement Entropy

   Isaac H. Kim, Michael Levin , Ting-Chun Lin , Daniel Ranard , and Bowen Shi

   Phys. Rev. Lett., Oct 2023

   arXiv Bib PDF

   @article{Kim2023,
     title = {Universal Lower Bound on Topological Entanglement Entropy},
     author = {Kim, Isaac H. and Levin, Michael and Lin, Ting-Chun and Ranard, Daniel and Shi, Bowen},
     journal = {Phys. Rev. Lett.},
     volume = {131},
     issue = {16},
     pages = {166601},
     numpages = {6},
     year = {2023},
     month = oct,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.131.166601},
     url = {https://link.aps.org/doi/10.1103/PhysRevLett.131.166601},
   }

2022

1. Fast digital methods for adiabatic state preparation

   Kianna Wan , and Isaac H. Kim

   Oct 2022

   arXiv Bib PDF

   @misc{wan2022fast,
     title = {Fast digital methods for adiabatic state preparation},
     author = {Wan, Kianna and Kim, Isaac H.},
     year = {2022},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2. Adaptive constant-depth circuits for manipulating non-abelian anyons

   S. Bravyi , Isaac H. Kim, A. Kliesch , and R. Koenig

   Oct 2022

   arXiv Bib PDF

   @misc{Bravyi2022Adaptive,
     title = {Adaptive constant-depth circuits for manipulating non-abelian anyons},
     author = {Bravyi, S. and Kim, Isaac H. and Kliesch, A. and Koenig, R.},
     year = {2022},
     eprint = {2205.01933},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

3. Circuit depth versus energy in topologically ordered systems

   Arkin Tikku , and Isaac H. Kim

   Oct 2022

   arXiv Bib PDF

   @misc{Tikku2022Circuit,
     title = {Circuit depth versus energy in topologically ordered systems},
     author = {Tikku, Arkin and Kim, Isaac H.},
     year = {2022},
     eprint = {2210.06796},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

4. Modular Commutators in Conformal Field Theory

   Yijian Zou , Bowen Shi , J. Sorce , Ian T. Lim , and Isaac H. Kim

   Physical Review Letters, Oct 2022

   arXiv Bib PDF

   @article{Zou2022Modular,
     title = {Modular Commutators in Conformal Field Theory},
     author = {Zou, Yijian and Shi, Bowen and Sorce, J. and Lim, Ian T. and Kim, Isaac H.},
     journal = {Physical Review Letters},
     volume = {129},
     number = {26},
     year = {2022},
     doi = {10.1103/PhysRevLett.129.260402},
     url = {https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.129.260402},
   }

5. Measurement as a Shortcut to Long-Range Entangled Quantum Matter

   Tsung-Cheng Lu , Leonardo A. Lessa , Isaac H. Kim, and T. Hsieh

   PRX Quantum, Oct 2022

   arXiv Bib PDF

   @article{Lu2022Measurement,
     title = {Measurement as a Shortcut to Long-Range Entangled Quantum Matter},
     author = {Lu, Tsung-Cheng and Lessa, Leonardo A. and Kim, Isaac H. and Hsieh, T.},
     year = {2022},
     journal = {PRX Quantum},
     volume = {3},
     number = {040337},
     doi = {10.1103/PRXQuantum.3.040337},
     url = {https://dx.doi.org/10.1103/PRXQuantum.3.040337},
   }

2021

1. An exactly solvable ansatz for statistical mechanics models

   Isaac H. Kim

   Journal of Statistical Mechanics: Theory and Experiment, Jun 2021

   arXiv Bib PDF

   @article{Kim2021Exact,
     doi = {10.1088/1742-5468/ac0152},
     url = {https://dx.doi.org/10.1088/1742-5468/ac0152},
     year = {2021},
     month = jun,
     publisher = {IOP Publishing and SISSA},
     volume = {2021},
     number = {6},
     pages = {063204},
     author = {Kim, Isaac H.},
     title = {An exactly solvable ansatz for statistical mechanics models},
     journal = {Journal of Statistical Mechanics: Theory and Experiment},
   }

2. Interleaving: Modular architectures for fault-tolerant photonic quantum computing

   H. Bombin , Isaac H. Kim, D. Litinski , Naomi H. Nickerson , M. Pant , F. Pastawski , Sam Roberts , and T. Rudolph

   Jun 2021

   arXiv Bib PDF

   @misc{Bombin2021Interleaving,
     title = {Interleaving: Modular architectures for fault-tolerant photonic quantum computing},
     author = {Bombin, H. and Kim, Isaac H. and Litinski, D. and Nickerson, Naomi H. and Pant, M. and Pastawski, F. and Roberts, Sam and Rudolph, T.},
     year = {2021},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
     url = {https://arxiv.org/abs/2103.08612},
   }

3. Recycling qubits in near-term quantum computers

   Galit Anikeeva , Isaac H. Kim, and Patrick Hayden

   Phys. Rev. A, Apr 2021

   arXiv Bib PDF

   @article{Anikeeva2021,
     title = {Recycling qubits in near-term quantum computers},
     author = {Anikeeva, Galit and Kim, Isaac H. and Hayden, Patrick},
     journal = {Phys. Rev. A},
     volume = {103},
     issue = {4},
     pages = {042613},
     numpages = {10},
     year = {2021},
     month = apr,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevA.103.042613},
     url = {https://link.aps.org/doi/10.1103/PhysRevA.103.042613},
   }

4. 

   Entropy Scaling Law and the Quantum Marginal Problem

   Isaac H. Kim

   Phys. Rev. X, May 2021

   arXiv Bib PDF

   @article{Kim2021Entropy,
     title = {Entropy Scaling Law and the Quantum Marginal Problem},
     author = {Kim, Isaac H.},
     journal = {Phys. Rev. X},
     volume = {11},
     issue = {2},
     pages = {021039},
     numpages = {36},
     year = {2021},
     month = may,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevX.11.021039},
     url = {https://link.aps.org/doi/10.1103/PhysRevX.11.021039},
   }

5. Domain Wall Topological Entanglement Entropy

   Bowen Shi , and Isaac H. Kim

   Phys. Rev. Lett., Apr 2021

   arXiv Bib PDF

   @article{Shi2021domain_wall,
     title = {Domain Wall Topological Entanglement Entropy},
     author = {Shi, Bowen and Kim, Isaac H.},
     journal = {Phys. Rev. Lett.},
     volume = {126},
     issue = {14},
     pages = {141602},
     numpages = {5},
     year = {2021},
     month = apr,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.126.141602},
     url = {https://link.aps.org/doi/10.1103/PhysRevLett.126.141602},
   }

6. Entanglement bootstrap approach for gapped domain walls

   Bowen Shi , and Isaac H. Kim

   Phys. Rev. B, Mar 2021

   arXiv Bib PDF

   @article{Shi2021gapped,
     title = {Entanglement bootstrap approach for gapped domain walls},
     author = {Shi, Bowen and Kim, Isaac H.},
     journal = {Phys. Rev. B},
     volume = {103},
     issue = {11},
     pages = {115150},
     numpages = {37},
     year = {2021},
     month = mar,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.103.115150},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.103.115150},
   }

7. Entropy scaling law and the quantum marginal problem: simplification and generalization

   Isaac H. Kim

   Mar 2021

   arXiv Bib PDF

   @misc{kim2021entropy,
     title = {Entropy scaling law and the quantum marginal problem: simplification and generalization},
     author = {Kim, Isaac H.},
     year = {2021},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

8. 

   Chiral Central Charge from a Single Bulk Wave Function

   Isaac H. Kim, Bowen Shi , Kohtaro Kato , and Victor V. Albert

   Physical Review Letters, Mar 2021

   arXiv Bib PDF

   @article{Kim2021Chiral,
     title = {Chiral Central Charge from a Single Bulk Wave Function},
     author = {Kim, Isaac H. and Shi, Bowen and Kato, Kohtaro and Albert, Victor V.},
     year = {2021},
     journal = {Physical Review Letters},
     volume = {128},
     pages = {176402},
     doi = {10.1103/PhysRevLett.128.176402},
     url = {https://dx.doi.org/10.1103/PhysRevLett.128.176402},
   }

9. Modular commutator in gapped quantum many-body systems

   Isaac H. Kim, Bowen Shi , Kohtaro Kato , and Victor V. Albert

   Physical Review B, Mar 2021

   arXiv Bib PDF

   @article{Kim2021Modular,
     title = {Modular commutator in gapped quantum many-body systems},
     author = {Kim, Isaac H. and Shi, Bowen and Kato, Kohtaro and Albert, Victor V.},
     year = {2021},
     journal = {Physical Review B},
     volume = {106},
     pages = {075147},
     doi = {10.1103/PhysRevB.106.075147},
     url = {https://dx.doi.org/10.1103/PhysRevB.106.075147},
   }

10. Low-overhead fault-tolerant quantum computing using long-range connectivity

    Lawrence Z Cohen , Isaac H. Kim, S. Bartlett , and Benjamin J. Brown

    Science Advances, Mar 2021

    arXiv Bib PDF

    @article{Cohen2021Lowoverhead,
      title = {Low-overhead fault-tolerant quantum computing using long-range connectivity},
      author = {Cohen, Lawrence Z and Kim, Isaac H. and Bartlett, S. and Brown, Benjamin J.},
      journal = {Science Advances},
      volume = {7},
      number = {43},
      year = {2021},
      doi = {10.1126/sciadv.abn1717},
      url = {https://www.science.org/doi/10.1126/sciadv.abn1717},
    }

11. Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules

    Isaac H. Kim, Ye-Hua Liu , S. Pallister , W. Pol , Sam Roberts , and Eunseok Lee

    Physical Review Research, Mar 2021

    arXiv Bib PDF

    @article{Kim2021FaultTolerant,
      title = {Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules},
      author = {Kim, Isaac H. and Liu, Ye-Hua and Pallister, S. and Pol, W. and Roberts, Sam and Lee, Eunseok},
      year = {2021},
      journal = {Physical Review Research},
      volume = {4},
      number = {023019},
      doi = {10.1103/PhysRevResearch.4.023019},
      url = {https://dx.doi.org/10.1103/PhysRevResearch.4.023019},
    }

2020

1. 

   The ghost in the radiation: robust encodings of the black hole interior

   Isaac H. Kim, Eugene Tang , and John Preskill

   Journal of High Energy Physics, Jun 2020

   arXiv Bib PDF

   @article{Kim2020Ghost,
     author = {Kim, Isaac H. and Tang, Eugene and Preskill, John},
     title = {The ghost in the radiation: robust encodings of the black hole interior},
     journal = {Journal of High Energy Physics},
     year = {2020},
     month = jun,
     day = {03},
     volume = {2020},
     number = {6},
     pages = {31},
     issn = {1029-8479},
     doi = {10.1007/JHEP06(2020)031},
     url = {https://doi.org/10.1007/JHEP06(2020)031},
   }

2. 

   Fusion rules from entanglement

   Bowen Shi , Kohtaro Kato , and Isaac H. Kim

   Annals of Physics, Jun 2020

   arXiv Bib PDF

   @article{Shi2020Fusion,
     title = {Fusion rules from entanglement},
     journal = {Annals of Physics},
     volume = {418},
     pages = {168164},
     year = {2020},
     issn = {0003-4916},
     doi = {https://doi.org/10.1016/j.aop.2020.168164},
     url = {https://www.sciencedirect.com/science/article/pii/S000349162030097X},
     author = {Shi, Bowen and Kato, Kohtaro and Kim, Isaac H.},
     keywords = {Anyon, Fusion rule, Quantum entanglement, Quantum phases, Topological order, Topological entanglement entropy},
   }

3. Fault-Tolerant Qubit from a Constant Number of Components

   Kianna Wan , Soonwon Choi , Isaac H. Kim, N. Shutty , and P. Hayden

   PRX Quantum, Jun 2020

   arXiv Bib PDF

   @article{Wan2020FaultTolerant,
     title = {Fault-Tolerant Qubit from a Constant Number of Components},
     author = {Wan, Kianna and Choi, Soonwon and Kim, Isaac H. and Shutty, N. and Hayden, P.},
     year = {2020},
     journal = {PRX Quantum},
     volume = {2},
     pages = {040345},
     doi = {10.1103/PRXQuantum.2.040345},
     url = {https://dx.doi.org/10.1103/PRXQuantum.2.040345},
   }

2019

1. Noise reduction using past causal cones in variational quantum algorithms

   Omar Shehab , Isaac H. Kim, N. Nguyen , K. Landsman , C. H. Alderete , D. Zhu , C. Monroe , and N. Linke

   Jun 2019

   arXiv Bib PDF

   @misc{Shehab2019Noise,
     title = {Noise reduction using past causal cones in variational quantum algorithms},
     author = {Shehab, Omar and Kim, Isaac H. and Nguyen, N. and Landsman, K. and Alderete, C. H. and Zhu, D. and Monroe, C. and Linke, N.},
     year = {2019},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2. Sorting topological stabilizer models in three dimensions

   Arpit Dua , Isaac H. Kim, Meng Cheng , and Dominic J. Williamson

   Phys. Rev. B, Oct 2019

   arXiv Bib PDF

   @article{Dua2019Sorting,
     title = {Sorting topological stabilizer models in three dimensions},
     author = {Dua, Arpit and Kim, Isaac H. and Cheng, Meng and Williamson, Dominic J.},
     journal = {Phys. Rev. B},
     volume = {100},
     issue = {15},
     pages = {155137},
     numpages = {36},
     year = {2019},
     month = oct,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.100.155137},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.100.155137},
   }

2017

1. Noise-resilient preparation of quantum many-body ground states

   Isaac H. Kim

   Oct 2017

   arXiv Bib PDF

   @misc{Kim2017Noise,
     title = {Noise-resilient preparation of quantum many-body ground states},
     author = {Kim, Isaac H.},
     year = {2017},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2. Holographic quantum simulation

   Isaac H. Kim

   Oct 2017

   arXiv Bib PDF

   @misc{Kim2017Holographic,
     title = {Holographic quantum simulation},
     author = {Kim, Isaac H.},
     year = {2017},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

3. The surface code with a twist

   Theodore J. Yoder , and Isaac H. Kim

   Quantum, Oct 2017

   arXiv Bib PDF

   @article{Yoder2017Surface,
     title = {The surface code with a twist},
     author = {Yoder, Theodore J. and Kim, Isaac H.},
     journal = {Quantum},
     volume = {1},
     pages = {2},
     year = {2017},
     doi = {10.22331/q-2017-04-25-2},
   }

4. Entanglement renormalization, quantum error correction, and bulk causality

   Isaac H. Kim, and Michael J. Kastoryano

   Journal of High Energy Physics, Apr 2017

   Abs arXiv Bib PDF

   Entanglement renormalization can be viewed as an encoding circuit for a family of approximate quantum error correcting codes. The logical information becomes progres-sively more well-protected against erasure errors at larger length scales. In particular, an approximate variant of holographic quantum error correcting code emerges at low energy for critical systems. This implies that two operators that are largely separated in scales behave as if they are spatially separated operators, in the sense that they obey a Lieb-Robinson type locality bound under a time evolution generated by a local Hamiltonian.

   @article{Kim2017Entanglement,
     author = {Kim, Isaac H. and Kastoryano, Michael J.},
     title = {Entanglement renormalization, quantum error correction, and bulk causality},
     journal = {Journal of High Energy Physics},
     year = {2017},
     month = apr,
     day = {07},
     volume = {2017},
     number = {4},
     pages = {40},
     issn = {1029-8479},
     doi = {10.1007/JHEP04(2017)040},
     url = {https://doi.org/10.1007/JHEP04(2017)040},
   }

5. Markovian Matrix Product Density Operators : Efficient computation of global entropy

   Isaac H. Kim

   Apr 2017

   arXiv Bib PDF

   @misc{Kim2017Markovian,
     title = {Markovian Matrix Product Density Operators : Efficient computation of global entropy},
     author = {Kim, Isaac H.},
     year = {2017},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

6. 

   Robust entanglement renormalization on a noisy quantum computer

   Isaac H. Kim, and Brian Swingle

   Apr 2017

   arXiv Bib PDF

   @misc{Kim2017Robust,
     title = {Robust entanglement renormalization on a noisy quantum computer},
     author = {Kim, Isaac H. and Swingle, Brian},
     year = {2017},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

7. Limits on the storage of quantum information in a volume of space

   S. Flammia , Jeongwan Haah , M. Kastoryano , and Isaac H. Kim

   Quantum, Apr 2017

   arXiv Bib PDF

   @article{Flammia2017Limits,
     title = {Limits on the storage of quantum information in a volume of space},
     author = {Flammia, S. and Haah, Jeongwan and Kastoryano, M. and Kim, Isaac H.},
     year = {2017},
     journal = {Quantum},
     volume = {1},
     pages = {4},
     doi = {10.22331/q-2017-04-25-4},
     url = {https://dx.doi.org/10.22331/q-2017-04-25-4},
   }

2016

1. Localization from Superselection Rules in Translationally Invariant Systems

   Isaac H. Kim, and Jeongwan Haah

   Phys. Rev. Lett., Jan 2016

   arXiv Bib PDF

   @article{Kim2016Localization,
     title = {Localization from Superselection Rules in Translationally Invariant Systems},
     author = {Kim, Isaac H. and Haah, Jeongwan},
     journal = {Phys. Rev. Lett.},
     volume = {116},
     issue = {2},
     pages = {027202},
     numpages = {5},
     year = {2016},
     month = jan,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.116.027202},
     url = {https://link.aps.org/doi/10.1103/PhysRevLett.116.027202},
   }

2. Precursor problem and holographic mutual information

   N. Bao , and Isaac H. Kim

   Jan 2016

   arXiv Bib PDF

   @misc{Bao2016Precursor,
     title = {Precursor problem and holographic mutual information},
     author = {Bao, N. and Kim, Isaac H.},
     year = {2016},
     archiveprefix = {arXiv},
     primaryclass = {hep-th},
   }

3. Markovian Marignals

   Isaac H. Kim

   Jan 2016

   arXiv Bib PDF

   @misc{Kim2016Markovian,
     title = {Markovian Marignals},
     author = {Kim, Isaac H.},
     year = {2016},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
   }

2015

1. Constructing local integrals of motion in the many-body localized phase

   Anushya Chandran , Isaac H. Kim, Guifre Vidal , and Dmitry A. Abanin

   Phys. Rev. B, Feb 2015

   arXiv Bib PDF

   @article{Chandran2015Constructing,
     title = {Constructing local integrals of motion in the many-body localized phase},
     author = {Chandran, Anushya and Kim, Isaac H. and Vidal, Guifre and Abanin, Dmitry A.},
     journal = {Phys. Rev. B},
     volume = {91},
     issue = {8},
     pages = {085425},
     numpages = {7},
     year = {2015},
     month = feb,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.91.085425},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.91.085425},
   }

2. Spectral tensor networks for many-body localization

   A. Chandran , J. Carrasquilla , Isaac H. Kim, D. A. Abanin , and G. Vidal

   Phys. Rev. B, Jul 2015

   arXiv Bib PDF

   @article{Chandran2015Spectral,
     title = {Spectral tensor networks for many-body localization},
     author = {Chandran, A. and Carrasquilla, J. and Kim, Isaac H. and Abanin, D. A. and Vidal, G.},
     journal = {Phys. Rev. B},
     volume = {92},
     issue = {2},
     pages = {024201},
     numpages = {5},
     year = {2015},
     month = jul,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.92.024201},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.92.024201},
   }

3. Ground-state entanglement constrains low-energy excitations

   Isaac H. Kim, and Benjamin J. Brown

   Phys. Rev. B, Sep 2015

   arXiv Bib PDF

   @article{Kim2015Ground,
     title = {Ground-state entanglement constrains low-energy excitations},
     author = {Kim, Isaac H. and Brown, Benjamin J.},
     journal = {Phys. Rev. B},
     volume = {92},
     issue = {11},
     pages = {115139},
     numpages = {11},
     year = {2015},
     month = sep,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.92.115139},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.92.115139},
   }

2014

1. Bounds on the concavity of quantum entropy

   Isaac H. Kim, and M. Ruskai

   Journal of Mathematical Physics, Sep 2014

   arXiv Bib PDF

   @article{Kim2014Bounds,
     title = {Bounds on the concavity of quantum entropy},
     author = {Kim, Isaac H. and Ruskai, M.},
     journal = {Journal of Mathematical Physics},
     volume = {55},
     pages = {092201},
     year = {2014},
     doi = {10.1063/1.4895757},
     url = {https://dx.doi.org/10.1063/1.4895757},
   }

2. On the informational completeness of local observables

   Isaac H. Kim

   Sep 2014

   arXiv Bib PDF

   @misc{Kim2014Informational,
     title = {On the informational completeness of local observables},
     author = {Kim, Isaac H.},
     year = {2014},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
     url = {https://arxiv.org/abs/1405.0137},
   }

3. Reconstructing Quantum States from Local Data

   Brian Swingle , and Isaac H. Kim

   Phys. Rev. Lett., Dec 2014

   arXiv Bib PDF

   @article{PhysRevLett.113.260501,
     title = {Reconstructing Quantum States from Local Data},
     author = {Swingle, Brian and Kim, Isaac H.},
     journal = {Phys. Rev. Lett.},
     volume = {113},
     issue = {26},
     pages = {260501},
     numpages = {5},
     year = {2014},
     month = dec,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevLett.113.260501},
     url = {https://link.aps.org/doi/10.1103/PhysRevLett.113.260501},
   }

4. Entropic topological invariant for a gapped one-dimensional system

   Isaac H. Kim

   Phys. Rev. B, Jun 2014

   arXiv Bib PDF

   @article{Kim2014,
     title = {Entropic topological invariant for a gapped one-dimensional system},
     author = {Kim, Isaac H.},
     journal = {Phys. Rev. B},
     volume = {89},
     issue = {23},
     pages = {235120},
     numpages = {4},
     year = {2014},
     month = jun,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevB.89.235120},
     url = {https://link.aps.org/doi/10.1103/PhysRevB.89.235120},
   }

5. Local integrals of motion and the logarithmic lightcone in many-body localized systems

   Isaac H. Kim, A. Chandran , and D. Abanin

   Jun 2014

   arXiv Bib PDF

   @misc{Kim2014Local,
     title = {Local integrals of motion and the logarithmic lightcone in many-body localized systems},
     author = {Kim, Isaac H. and Chandran, A. and Abanin, D.},
     year = {2014},
     archiveprefix = {arXiv},
     primaryclass = {cond-mat.str-el},
     url = {https://arxiv.org/abs/1412.3073},
   }

2013

1. Long-range entanglement is necessary for a topological storage of quantum information

   Isaac H. Kim

   Physical Review Letters, Jun 2013

   arXiv Bib PDF

   @article{Kim2013LongRange,
     title = {Long-range entanglement is necessary for a topological storage of quantum information},
     author = {Kim, Isaac H.},
     journal = {Physical Review Letters},
     volume = {111},
     pages = {080503},
     year = {2013},
     doi = {10.1103/PhysRevLett.111.080503},
     url = {https://dx.doi.org/10.1103/PhysRevLett.111.080503},
   }

2. Modulus of convexity for operator convex functions

   Isaac H. Kim

   Journal of Mathematical Physics, Jun 2013

   arXiv Bib PDF

   @article{Kim2013Modulus,
     title = {Modulus of convexity for operator convex functions},
     author = {Kim, Isaac H.},
     journal = {Journal of Mathematical Physics},
     volume = {55},
     pages = {082202},
     year = {2013},
     doi = {10.1063/1.4890292},
     url = {https://dx.doi.org/10.1063/1.4890292},
   }

2012

1. 

   Operator extension of strong subadditivity of entropy

   Isaac H. Kim

   Journal of Mathematical Physics, Jun 2012

   arXiv Bib PDF

   @article{Kim2012Operator,
     title = {Operator extension of strong subadditivity of entropy},
     author = {Kim, Isaac H.},
     journal = {Journal of Mathematical Physics},
     volume = {53},
     pages = {122204},
     year = {2012},
     doi = {10.1063/1.4769176},
     url = {https://dx.doi.org/10.1063/1.4769176},
   }

2. 3D local qupit quantum code without string logical operator

   Isaac H. Kim

   Jun 2012

   arXiv Bib PDF

   @misc{Kim20123DLocal,
     title = {3D local qupit quantum code without string logical operator},
     author = {Kim, Isaac H.},
     year = {2012},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
     url = {https://arxiv.org/abs/1202.0052},
   }

3. Perturbative analysis of topological entanglement entropy from conditional independence

   Isaac H. Kim

   Physical Review B, Jun 2012

   arXiv Bib PDF

   @article{Kim2012Perturbative,
     title = {Perturbative analysis of topological entanglement entropy from conditional independence},
     author = {Kim, Isaac H.},
     journal = {Physical Review B},
     volume = {86},
     pages = {245116},
     year = {2012},
     doi = {10.1103/PhysRevB.86.245116},
     url = {https://dx.doi.org/10.1103/PhysRevB.86.245116},
   }

4. Determining the structure of the real-space entanglement spectrum from approximate conditional independence

   Isaac H. Kim

   Physical Review B, Jun 2012

   arXiv Bib PDF

   @article{Kim2012Structure,
     title = {Determining the structure of the real-space entanglement spectrum from approximate conditional independence},
     author = {Kim, Isaac H.},
     journal = {Physical Review B},
     volume = {87},
     pages = {155120},
     year = {2012},
     doi = {10.1103/PhysRevB.87.155120},
     url = {https://dx.doi.org/10.1103/PhysRevB.87.155120},
   }

2011

1. Local non–Calderbank-Shor-Steane quantum error-correcting code on a three-dimensional lattice

   Isaac H. Kim

   Phys. Rev. A, May 2011

   arXiv Bib PDF

   @article{Kim2011Local,
     title = {Local non--Calderbank-Shor-Steane quantum error-correcting code on a three-dimensional lattice},
     author = {Kim, Isaac H.},
     journal = {Phys. Rev. A},
     volume = {83},
     issue = {5},
     pages = {052308},
     numpages = {6},
     year = {2011},
     month = may,
     publisher = {American Physical Society},
     doi = {10.1103/PhysRevA.83.052308},
     url = {https://link.aps.org/doi/10.1103/PhysRevA.83.052308},
   }

2006

1. Quamtumness, Generalized Spherical 2-Design and Symmetric Informationally Complete POVM

   Isaac H. Kim

   May 2006

   arXiv Bib PDF

   @misc{quantph0608024,
     title = {Quamtumness, Generalized Spherical 2-Design and Symmetric Informationally Complete POVM},
     author = {Kim, Isaac H.},
     year = {2006},
     eprint = {quant-ph/0608024},
     archiveprefix = {arXiv},
     primaryclass = {quant-ph},
     url = {https://arxiv.org/abs/quant-ph/0608024},
   }