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Asymmetric quantum error-correcting codes
The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error-correcting code that takes advantage of thisExpand
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Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
We extend the Keldysh technique to enable the computation of out-of-time order correlators. We show that the behavior of these correlators is described by equations that display initially anExpand
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Quantum Approximate Optimization of Non-Planar Graph Problems on a Planar Superconducting Processor
TLDR
We demonstrate the application of the Google Sycamore superconducting qubit quantum processor to combinatorial optimization problems with the quantum approximate optimization algorithm and observe, for the first time, that performance increases with circuit depth. Expand
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Coherent quantum phase slip
A hundred years after the discovery of superconductivity, one fundamental prediction of the theory, coherent quantum phase slip (CQPS), has not been observed. CQPS is a phenomenon exactly dual to theExpand
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Microscopic origin of low-frequency flux noise in josephson circuits.
We analyze the data and discuss their implications for the microscopic origin of the low-frequency flux noise in superconducting circuits. We argue that this noise is produced by spins atExpand
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Superconductor-Insulator transition and energy localization
We develop an analytical theory for generic disorder-driven quantum phase transitions. We apply this formalism to the superconductor-insulator transition and we briefly discuss the applications toExpand
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Disorder-driven quantum phase transitions in superconductors and magnets.
We develop an analytical theory, based on the quantum cavity method, describing the quantum phase transitions in low-temperature, strongly disordered ferromagnets and superconductors. At varianceExpand
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Nonergodic Phases in Strongly Disordered Random Regular Graphs.
We combine numerical diagonalization with semianalytical calculations to prove the existence of the intermediate nonergodic but delocalized phase in the Anderson model on disordered hierarchicalExpand
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Protected qubits and Chern-Simons theories in Josephson junction arrays
We present general symmetry arguments that show the appearance of doubly degenerate states protected from external perturbations in a wide class of Hamiltonians. We construct the simplest spinExpand
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Interacting tunneling model for two-level systems in amorphous materials and its predictions for their dephasing and noise in superconducting microresonators
We formulate the generalized tunneling model for two level systems in insulators that takes into account the interaction between them and a slow power law dependence of their density of states. WeExpand
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