Santa Fe Institute Collaboration Platform

Thermodynamics of Computation

Karpur Shukla

From Thermodynamics of Computation

Biography: I'm a research fellow at the Department for Applied Mathematics at Flame University. My interests lie at the intersection of conformal field theory, geometric phenomena in quantum systems, quantum thermodynamics, and condensed matter theory. In particular, I'm deeply interested in the properties of conformal field theories (CFTs) out of equilibrium, and the ways by which nonequilibrium CFT phenomena manifest in condensed matter models. I'm also interested in the geometric properties of Lindbladians in open quantum systems and their applications to condensed matter systems, particularly CFTs with nondegenerate steady state spaces. Finally, I'm interested in the consequences that renormalisation group transformations have for resource theories.

At present, my work focuses on applications of resource theories and shortcuts-to-adiabaticity to physical models for reversible computing and conformally invariant systems. Reversible computing is a paradigm of computing that relies on preserving and unwinding correlations, which allows us to avoid the energy cost resulting from irretrievably ejecting information stored in memory devices into the environment. Although systems implementing reversible logic were first proposed as early as 1978 by Fredkin and Toffoli; designing a model of fast, fully adiabatic, and scalable classical reversible operations remains an ongoing and active area of interest. Here, the language of shortcuts-to-adiabaticity, resource theories, and quantum speed limits are especially suited to helping us design our desired models for reversible computing. I'm currently working alongside Michael P. Frank (Sandia National Labs), David Guéry-Odelin (Uni. Toulouse III), and Matthew Brown (UCSB) to develop these models.

My other work focuses on the consequences that conformal invariance can have for resource theories, as well as the lessons resource theories can have for conformally invariant systems. Recent results by Bernamonti et al. for holographic second laws, Guarnieri et al. for relationships between stochastic quantum work techniques and resource theories, Faist and Renner on new information measures for the work cost of quantum processes, and Albert et al. on the geometric properties of Lindbladians themselves have substantial implications for systems described by CFTs. My interest here is in examining what lessons these results have for CFTs: in particular, understanding whether stochastic quantum work techniques can be expressed for CFTs via the holographic second laws, where an extension to the holographic second laws can be developed using this new information measure, and what lessons we may derive for CFTs out of equilibrium with degenerate steady states.

Before my current appointment, I received my M.Sci. in physics from Carnegie Mellon University in 2016, and my B.Sci. in physics from Carnegie Mellon University in 2014. There, I worked under Di Xiao on optoelectronic phenomena on the surfaces of topological insulators, in particular examining properties of the photogalvanic effect on the surfaces of topological insulators at zero and finite temperature. I also had the brief opportunity to work on curve fitting for experimental soft condensed matter physics under Stephanie Tristram-Nagle, as well as on analytic analysis of the dynamical RG flow of the Ising model under Robert Swendsen.

Field(s) of Research: General Non-equilibrium Statistical Physics, Logically Reversible Computing, Quantum Thermodynamics and Information Processing

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