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.

%8 2/9/2022 %G eng %U https://arxiv.org/abs/2202.04710 %R 10.48550/ARXIV.2202.04710 %0 Journal Article %J Quantum Science and Technology %D 2021 %T Entangled quantum cellular automata, physical complexity, and Goldilocks rules %A Hillberry, Logan E %A Jones, Matthew T %A Vargas, David L %A Rall, Patrick %A Nicole Yunger Halpern %A Bao, Ning %A Notarnicola, Simone %A Montangero, Simone %A Carr, Lincoln D %XCellular 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.

%B Quantum Science and Technology %V 6 %P 045017 %8 9/29/2021 %G eng %U http://dx.doi.org/10.1088/2058-9565/ac1c41 %R 10.1088/2058-9565/ac1c41