01033nas a2200193 4500008004100000245005300041210005300094260001300147520041400160653002700574653004200601653002900643653003100672653005200703100001400755700001700769700001600786856003700802 2022 eng d00aDeconfinement and Error Thresholds in Holography0 aDeconfinement and Error Thresholds in Holography c2/9/20223 a
We study the error threshold properties of holographic quantum error-correcting codes. We demonstrate that holographic CFTs admit an algebraic threshold, which is related to the confinement-deconfinement phase transition. We then apply geometric intuition from holography and the Hawking-Page phase transition to motivate the CFT result, and comment on potential extensions to other confining theories.
10aFOS: Physical sciences10aHigh Energy Physics - Theory (hep-th)10aNuclear Theory (nucl-th)10aQuantum Physics (quant-ph)10aStrongly Correlated Electrons (cond-mat.str-el)1 aBao, Ning1 aCao, Charles1 aZhu, Guanyu uhttps://arxiv.org/abs/2202.0471001588nas a2200241 4500008004100000022001400041245008300055210006900138260001400207300001100221490000600232520086600238100002401104700002201128700002101150700001801171700002801189700001401217700002401231700002301255700002101278856004701299 2021 eng d a2058-956500aEntangled quantum cellular automata, physical complexity, and Goldilocks rules0 aEntangled quantum cellular automata physical complexity and Gold c9/29/2021 a0450170 v63 aCellular automata are interacting classical bits that display diverse emergent behaviors, from fractals to random-number generators to Turing-complete computation. We discover that quantum cellular automata (QCA) can exhibit complexity in the sense of the complexity science that describes biology, sociology, and economics. QCA exhibit complexity when evolving under "Goldilocks rules" that we define by balancing activity and stasis. Our Goldilocks rules generate robust dynamical features (entangled breathers), network structure and dynamics consistent with complexity, and persistent entropy fluctuations. Present-day experimental platforms -- Rydberg arrays, trapped ions, and superconducting qubits -- can implement our Goldilocks protocols, making testable the link between complexity science and quantum computation exposed by our QCA.
1 aHillberry, Logan, E1 aJones, Matthew, T1 aVargas, David, L1 aRall, Patrick1 aHalpern, Nicole, Yunger1 aBao, Ning1 aNotarnicola, Simone1 aMontangero, Simone1 aCarr, Lincoln, D uhttp://dx.doi.org/10.1088/2058-9565/ac1c41