146 citations · 201 across the 15 of their papers we have counts for
15 papers
Stable valleys in the glassy landscape of a low-density parity-check (LDPC) code
Grace M. Sommers, David A. Huse
Classical low-density parity-check (cLDPC) codes defined on expander graphs are a fundamental ingredient in the construction of good quantum LDPC codes, a recent milestone in quant…
Contracting Tensor Networks with Generalized Belief Propagation
Joseph Tindall, Grace M. Sommers, Hilbert Kappen
Recent years have seen a growing interest in the use of belief propagation - an algorithm originally introduced for performing statistical inference on graphical models - for appro…
Belief Propagation and Tensor Network Expansions for Many-Body Quantum Systems: Rigorous Results and Fundamental Limits
Siddhant Midha, Grace M. Sommers, Joseph Tindall +1
Belief propagation (BP) provides a scalable heuristic for contracting tensor networks on loopy graphs, but its success in quantum many-body settings has largely rested on empirical…
Spectral properties and coding transitions of Haar-random quantum codes
Grace M. Sommers, J. Alexander Jacoby, Zack Weinstein +2
A quantum error-correcting code with a nonzero error threshold undergoes a mixed-state phase transition when the error rate reaches that threshold. We explore this phase transition…
Scalable accuracy gains from postselection in quantum error correcting codes
Hongkun Chen, Daohong Xu, Grace M. Sommers +3
Decoding stabilizer codes such as the surface and toric codes involves evaluating free-energy differences in a disordered statistical mechanics model, in which the randomness comes…
Expansion creates spin-glass order in finite-connectivity models: a rigorous and intuitive approach from the theory of LDPC codes
Benedikt Placke, Grace M. Sommers, Nikolas P. Breuckmann +2
Complex free-energy landscapes with many local minima separated by large barriers are believed to underlie glassy behavior across diverse physical systems. This is the heuristic pi…
Roughening Transition in Quantum Circuits
Hyunsoo Ha, David A. Huse, Grace M. Sommers
We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-de…
Observation of a Fault Tolerance Threshold with Concatenated Codes
Grace M. Sommers, Michael Foss-Feig, David Hayes +2
We introduce a fault-tolerant protocol for code concatenation of a generalized Shor code using a butterfly network architecture with high noise thresholds and low ancilla overhead…
Dynamically generated concatenated codes and their phase diagrams
Grace M. Sommers, David A. Huse, Michael J. Gullans
We formulate code concatenation as the action of a unitary quantum circuit on an expanding tree geometry and find that for certain classes of gates, applied identically at each nod…
Zero-temperature entanglement membranes in quantum circuits
Grace M. Sommers, Sarang Gopalakrishnan, Michael J. Gullans +1
In chaotic quantum systems, the entanglement of a region can be described in terms of the surface tension of a spacetime membrane pinned to the boundary of . Here, we interp…
Crystalline Quantum Circuits
Grace M. Sommers, David A. Huse, Michael J. Gullans
Random quantum circuits continue to inspire a wide range of applications in quantum information science and many-body quantum physics, while remaining analytically tractable throug…
Self-dual quasiperiodic percolation
Grace M. Sommers, Michael J. Gullans, David A. Huse
How does the percolation transition behave in the absence of quenched randomness? To address this question, we study two nonrandom self-dual quasiperiodic models of square-lattice…
Arresting dynamics in hardcore spin models
Benedikt Placke, Grace M. Sommers, S. L. Sondhi +1
We study the dynamics of hardcore spin models on the square and triangular lattice, constructed by analogy to hard spheres, where the translational degrees of freedom of the sphere…
From hard spheres to hard-core spins
Grace M. Sommers, Benedikt Placke, Roderich Moessner +1
A system of hard spheres exhibits physics that is controlled only by their density. This comes about because the interaction energy is either infinite or zero, so all allowed confi…
Raman Spectrum and Polarizability of Liquid Water from Deep Neural Networks
Grace M. Sommers, Marcos F. Calegari Andrade, Linfeng Zhang +2
We introduce a scheme based on machine learning and deep neural networks to model the environmental dependence of the electronic polarizability in insulating materials. Application…