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  1. Aug 11, 2023Abstract page for arXiv paper 2308.06321: Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits Understanding how errors deteriorate the information encoded in a many-body quantum system is a fundamental problem with practical implications for quantum technologies.
  2. link.aps.org

    Apr 1, 2024Understanding how errors deteriorate the information encoded in a many-body quantum system is a fundamental problem with practical implications for quantum technologies. Here, we investigate a class of encoding-decoding random circuits subject to local coherent and incoherent errors.
  3. Error-resilience phase transitions for coherent errors. Error-protecting and error-vulnerable phases. Error-resilience phase transitions for incoherent errors. Conclusion and outlook. Acknowledgments. 1 Details on the analytical computations for annealed averages on the full unitary group. 1.1 Schur-Weyl duality and integration formulas for ...
  4. This work investigates random quantum circuits com-posed of an encoding unitary U, a layer of coherent er-rors modeled by local rotations N α by an angle α, and a decoding unitary U†, cf. Fig.1. We demonstrate that the decoded logical state of this circuit undergoes an error-resilience phase transition between an error-
  5. journals.aps.org

    Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits The Supplemental Material contains: 1.Details on the analytical computations for annealed averages on the full unitary group • Schur-Weyl duality and integration formulas for Haar unitaries • Summary of the observables of interest and their replica functional formulation
  6. semanticscholar.org

    Aug 11, 2023It is shown that there is a phase transition in the residual subsystem SE as a function of the density of non-Clifford resources, which marks the onset of a subsystem purity estimation protocol that requires many queries to a circuit containing non-Clifford gates that prepares the state from a stabilizer state.
  7. Dec 8, 2023Understanding how errors deteriorate the information encoded in a many-body quantum system is a fundamental problem with practical implications for quantum technologies. Here, we investigate a class of encoding-decoding random circuits subject to local coherent and incoherent errors.We analytically demonstrate the existence of a phase transition separating an error-protecting phase from an ...
  8. researchgate.net

    Aug 11, 2023Download Citation | Error-resilience Phase Transitions in Encoding-Decoding Quantum Circuits | Understanding how errors deteriorate the information encoded in a many-body quantum system is a ...
  9. pubmed.ncbi.nlm.nih.gov

    Apr 5, 2024Understanding how errors deteriorate the information encoded in a many-body quantum system is a fundamental problem with practical implications for quantum technologies. Here, we investigate a class of encoding-decoding random circuits subject to local coherent and incoherent errors. We analytically …

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