68 citations · 131 across the 8 of their papers we have counts for
8 papers
Exact Quantum Algorithms for Quantum Phase Recognition: Renormalization Group and Error Correction
Ethan Lake, Shankar Balasubramanian, Soonwon Choi
We explore the relationship between renormalization group (RG) flow and error correction by constructing quantum algorithms that exactly recognize 1D symmetry-protected topological…
Floquet codes without parent subsystem codes
Margarita Davydova, Nathanan Tantivasadakarn, Shankar Balasubramanian
We propose a new class of error-correcting dynamic codes in two and three dimensions that has no explicit connection to any parent subsystem code. The two-dimensional code, which w…
Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
Shankar Balasubramanian, Daniel Bulmash, Victor Galitski +1
We construct a broad class of frustration-free quantum vertex models in 3+1D whose ground states are weighted superpositions of classical 3D vertex model configurations. Our result…
Classical vertex model dualities in a family of 2D frustrated quantum antiferromagnets
Shankar Balasubramanian, Victor Galitski, Ashvin Vishwanath
We study a general class of easy-axis spin models on a lattice of corner sharing even-sided polygons with all-to-all interactions within a plaquette. The low energy description cor…
Solitons in lattice field theories via tight-binding supersymmetry
Shankar Balasubramanian, Abu Patoary, Victor Galitski
Reflectionless potentials play an important role in constructing exact solutions to classical dynamical systems, non-perturbative solutions of various large-N field theories, and c…
Many-Body Localization Landscape
Shankar Balasubramanian, Yunxiang Liao, Victor Galitski
We generalize the notion of "localization landscape," introduced by M. Filoche and S. Mayboroda [Proc. Natl. Acad. Sci. USA 109, 14761 (2012)] for the single-particle Schrodinger o…
Exact time evolution of the asymmetric Hubbard dimer
Shankar Balasubramanian, J. K. Freericks
We examine the time evolution of an asymmetric Hubbard dimer, which has a different on-site interaction on the two sites. The Hamiltonian has a time-dependent hopping term, which c…
Bang-bang shortcut to adiabaticity in trapped ion quantum simulators
Shankar Balasubramanian, Shuyang Han, Bryce T. Yoshimura +1
We model the bang-bang optimization protocol as a shortcut to adiabaticity in the ground-state preparation of an ion-trap-based quantum simulator. Compared to a locally adiabatic e…