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Diffusion Codes: Self-Correction from Small(er)-Set Expansion with Tunable Non-locality
Adithya Sriram, Vedika Khemani, Benedikt Placke
Optimal constructions of classical LDPC codes can be obtained by choosing the Tanner graph uniformly at random among biregular graphs. We introduce a class of codes that we call ``…
Circuit-based characterization of finite-temperature quantum phases and self-correcting quantum memory
Ruochen Ma, Vedika Khemani, Shengqi Sang
Quantum phases at zero temperature can be characterized as equivalence classes under local unitary transformations: two ground states within a gapped phase can be transformed into…
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…
Quantum chaos at finite temperature in local spin Hamiltonians
Christopher M. Langlett, Cheryne Jonay, Vedika Khemani +1
Understanding the emergence of chaos in many-body quantum systems away from semi-classical limits, particularly in spatially local interacting spin Hamiltonians, has been a long-st…