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The Great Hunt for Small Subsystem Codes

Gregory Crosswhite, University of Washington

(Session 5 : Friday from 5:00-7:00)

Abstract. Thanks to the hard work of experimentalists, it is increasingly becoming practical to engineer small physical systems with arbitrary 2-local interactions. As a result, it becomes increasingly important for theorists to answer the question: what exactly can be done with such systems? Put another way, what quantum error correcting or detecting codes are there that can be built using a small number of qubits with 2-local interactions? Note that these codes will in general not be stabilizer codes -- since the interactions may not commute -- but will instead be subsystem codes, a more general case. Towards this end, in this poster we shall present the results of our own systematic search for subsystem quantum codes using small numbers of qubits and 2-local interactions.