1 citations · 1 across the 2 of their papers we have counts for
4 papers
A local automaton for the 2D toric code
Shankar Balasubramanian, Margarita Davydova, Ethan Lake
We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Our decoder is a circuit of strictly local…
A passive self-correcting quantum memory in three dimensions
Shankar Balasubramanian, Margarita Davydova, Ting-Chun Lin
We construct a 3D Pauli stabilizer Hamiltonian whose ground state space can encode a qubit for exponential time when coupled to a bath at non-zero temperature. Our construction rec…
Exponentially slow thermalization in 1D fragmented dynamics
Cheng Wang, Shankar Balasubramanian, Yiqiu Han +3
We investigate the thermalization dynamics of 1D systems with local constraints coupled to an infinite temperature bath at one boundary. The coupling to the bath eventually erases…
Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
Shankar Balasubramanian, Sarang Gopalakrishnan, Alexey Khudorozhkov +1
We introduce a family of local models of dynamics based on ``word problems'' from computer science and group theory, for which we can place rigorous lower bounds on relaxation time…