# Publications Search Within Results Search Within Results search ## 47 results Show filters filter\_alt Sort by Year of PublicationAlphabetical A-Z sort ## 47 results Download 47 citations download- [BibTeX](/node/1776776/export?format=bibtex) - [EndNote X3 XML](/node/1776776/export?format=endnote8) - [EndNote 7 XML](/node/1776776/export?format=endnote7) - [Endnote tagged](/node/1776776/export?format=tagged) - [Marc](/node/1776776/export?format=marc) - [PubMedId](/node/1776776/export?format=pubmed_id) - [RIS](/node/1776776/export?format=ris) ### 2022 Anurag Anshu, Itai Arad, and David Gosset. 2022. “[Entanglement Subvolume Law for 2D Frustration-Free Spin Systems](/publications/entanglement-subvolume-law-2d-frustration-free-spin-systems)”. Communications in Mathematical Physics Anurag Anshu, Itai Arad, and David Gosset. 2022. “[Entanglement Subvolume Law for 2D Frustration-Free Spin Systems](/publications/entanglement-subvolume-law-2d-frustration-free-spin-systems)”. Communications in Mathematical Physics - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://link.springer.com/article/10.1007/s00220-022-04381-2) Let *H* be a frustration-free Hamiltonian describing a 2D grid of qudits with local interactions, a unique ground state, and local spectral gap lower bounded by a positive constant. For any bipartition defined by a vertical cut of length *L* running from top... - [ descriptionPublisher's Version](https://link.springer.com/article/10.1007/s00220-022-04381-2) Anurag Anshu, Itai Arad, and David Gosset. 2022. “[An Area Law for 2D Frustration-Free Spin Systems](/publications/area-law-2d-frustration-free-spin-systems)” Anurag Anshu, Itai Arad, and David Gosset. 2022. “[An Area Law for 2D Frustration-Free Spin Systems](/publications/area-law-2d-frustration-free-spin-systems)” - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://dl.acm.org/doi/10.1145/3519935.3519962) We prove that the entanglement entropy of the ground state of a locally gapped frustration-free 2D lattice spin system satisfies an area law with respect to a vertical bipartition of the lattice into left and right regions. We first establish that the... - [ descriptionPublisher's Version](https://dl.acm.org/doi/10.1145/3519935.3519962) Anurag Anshu and Chinmay Nirkhe. 2022. “[Circuit Lower Bounds for Low-Energy States of Quantum Code Hamiltonians](/publications/circuit-lower-bounds-low-energy-states-quantum-code-hamiltonians)”. In ITCS 2022. Vol. 215 Anurag Anshu and Chinmay Nirkhe. 2022. “[Circuit Lower Bounds for Low-Energy States of Quantum Code Hamiltonians](/publications/circuit-lower-bounds-low-energy-states-quantum-code-hamiltonians)”. In ITCS 2022. Vol. 215 - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://drops.dagstuhl.de/opus/volltexte/2022/15602/) The No Low-energy Trivial States (NLTS) conjecture of Freedman and Hastings, 2014 -- which posits the existence of a local Hamiltonian with a super-constant quantum circuit lower bound on the complexity of all low-energy states -- identifies a fundamental... - [ descriptionPublisher's Version](https://drops.dagstuhl.de/opus/volltexte/2022/15602/) Anurag Anshu, Aram W. Harrow, and Mehdi Soleimanifar. 2022. “[Entanglement Spread Area Law in Gapped Ground States](/publications/communication-complexity-entanglement-spread-area-law-ground-state-gapped-local)”. Nature Physics Anurag Anshu, Aram W. Harrow, and Mehdi Soleimanifar. 2022. “[Entanglement Spread Area Law in Gapped Ground States](/publications/communication-complexity-entanglement-spread-area-law-ground-state-gapped-local)”. Nature Physics - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://www.nature.com/articles/s41567-022-01740-7) Ground-state entanglement governs various properties of quantum many-body systems at low temperatures and is the key to understanding gapped quantum phases of matter. Here we identify a structural property of entanglement in the ground state of gapped... - [ descriptionPublisher's Version](https://www.nature.com/articles/s41567-022-01740-7) Anurag Anshu and Rahul Jain. 2022. “[Efficient Methods for One-Shot Quantum Communication](/publications/efficient-methods-one-shot-quantum-communication)”. NPJ Quantum Information Anurag Anshu and Rahul Jain. 2022. “[Efficient Methods for One-Shot Quantum Communication](/publications/efficient-methods-one-shot-quantum-communication)”. NPJ Quantum Information - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://www.nature.com/articles/s41534-022-00608-1) We address the question of efficient implementation of quantum protocols, with small communication and entanglement, and short depth circuit for encoding or decoding. We introduce two methods for this; the first constructs a resource-efficient convex... - [ descriptionPublisher's Version](https://www.nature.com/articles/s41534-022-00608-1) Anurag Anshu, Zeph Landau, and Yunchao Liu. 2022. “[Distributed Quantum Inner Product Estimation](https://arxiv.org/abs/2111.03273)” Anurag Anshu, Zeph Landau, and Yunchao Liu. 2022. “[Distributed Quantum Inner Product Estimation](https://arxiv.org/abs/2111.03273)” - add\_circle\_outline do\_not\_disturb\_on Abstract As small quantum computers are becoming available on different physical platforms, a benchmarking task known as cross-platform verification has been proposed that aims to estimate the fidelity of states prepared on two quantum computers. This task is... Anurag Anshu. 2022. “[Some Recent Progress in Learning Theory: The Quantum Side](/publications/some-recent-progress-learning-theory-quantum-side)”. Harvard Data Science Review, 4.1 Anurag Anshu. 2022. “[Some Recent Progress in Learning Theory: The Quantum Side](/publications/some-recent-progress-learning-theory-quantum-side)”. Harvard Data Science Review, 4.1 - [ descriptionPublisher's Version](https://hdsr.mitpress.mit.edu/pub/3x2sd8nq/release/2) - [ descriptionPublisher's Version](https://hdsr.mitpress.mit.edu/pub/3x2sd8nq/release/2) Anurag Anshu and Nikolas P. Breuckmann. 2022. “[A Construction of Combinatorial NLTS](/publications/construction-combinatorial-nlts)”. Journal of Mathematical Physics, 63, 122201 Anurag Anshu and Nikolas P. Breuckmann. 2022. “[A Construction of Combinatorial NLTS](/publications/construction-combinatorial-nlts)”. Journal of Mathematical Physics, 63, 122201 - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://aip.scitation.org/doi/10.1063/5.0113731) The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings \[2014\] posits that there exist families of Hamiltonians with all low energy states of high complexity (with complexity measured by the quantum circuit depth preparing the state)... - [ descriptionPublisher's Version](https://aip.scitation.org/doi/10.1063/5.0113731) Anurag Anshu, Nikolas P. Breuckmann, and Chinmay Nirkhe. 2022. “[NLTS Hamiltonians from Good Quantum Codes](/publications/nlts-hamiltonians-good-quantum-codes)” Anurag Anshu, Nikolas P. Breuckmann, and Chinmay Nirkhe. 2022. “[NLTS Hamiltonians from Good Quantum Codes](/publications/nlts-hamiltonians-good-quantum-codes)” - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://dl.acm.org/doi/10.1145/3564246.3585114) The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings \[2014\] posits that there exist families of Hamiltonians with all low energy states of non-trivial complexity (with complexity measured by the quantum circuit depth preparing the... - [ descriptionPublisher's Version](https://dl.acm.org/doi/10.1145/3564246.3585114) ### 2021 Anurag Anshu, Srinivasan Arunachalam, Tomotaka Kuwahara, and Mehdi Soleimanifar. 2021. “[Sample-Efficient Learning of Interacting Quantum Systems](/publications/sample-efficient-learning-interacting-quantum-systems)”. Nature Physics, 17, Pp. 931–935 Anurag Anshu, Srinivasan Arunachalam, Tomotaka Kuwahara, and Mehdi Soleimanifar. 2021. “[Sample-Efficient Learning of Interacting Quantum Systems](/publications/sample-efficient-learning-interacting-quantum-systems)”. Nature Physics, 17, Pp. 931–935 - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://doi.org/10.1038/s41567-021-01232-0) Learning the Hamiltonian that describes interactions in a quantum system is an important task in both condensed-matter physics and the verification of quantum technologies. Its classical analogue arises as a central problem in machine learning known as... - [ descriptionPublisher's Version](https://doi.org/10.1038/s41567-021-01232-0) Tomotaka Kuwahara, Alvaro M. Alhambra, and Anurag Anshu. 2021. “[Improved Thermal Area Law and Quasi-Linear Time Algorithm for Quantum Gibbs States](/publications/improved-thermal-area-law-and-quasi-linear-time-algorithm-quantum-gibbs-states)” Tomotaka Kuwahara, Alvaro M. Alhambra, and Anurag Anshu. 2021. “[Improved Thermal Area Law and Quasi-Linear Time Algorithm for Quantum Gibbs States](/publications/improved-thermal-area-law-and-quasi-linear-time-algorithm-quantum-gibbs-states)” - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://doi.org/10.1103/PhysRevX.11.011047) One of the most fundamental problems in quantum many-body physics is the characterization of correlations among thermal states. Of particular relevance is the thermal area law, which justifies the tensor network approximations to thermal states with a... - [ descriptionPublisher's Version](https://doi.org/10.1103/PhysRevX.11.011047) Anurag Anshu, David Gosset, Karen J. Morenz Korol, and Mehdi Soleimanifar. 2021. “[Improved Approximation Algorithms for Bounded-Degree Local Hamiltonians](/publications/improved-approximation-algorithms-bounded-degree-local-hamiltonians)”. Physical Review Letters Anurag Anshu, David Gosset, Karen J. Morenz Korol, and Mehdi Soleimanifar. 2021. “[Improved Approximation Algorithms for Bounded-Degree Local Hamiltonians](/publications/improved-approximation-algorithms-bounded-degree-local-hamiltonians)”. Physical Review Letters - add\_circle\_outline do\_not\_disturb\_on Abstract - [ descriptionPublisher's Version](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.250502) We consider the task of approximating the ground state energy of two-local quantum Hamiltonians on bounded-degree graphs. Most existing algorithms optimize the energy over the set of product states. Here we describe a family of shallow quantum circuits... - [ descriptionPublisher's Version](https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.127.250502) - Previous page chevron\_left - [1](?page=0 "Current page") - [2](?page=1 "Go to page 2") - [3](?page=2 "Go to page 3") - [ Last page 4 ](?page=3 "Go to last page") - [ Next page chevron\_right ](?page=1 "Go to next page")