Improving readout in quantum simulations with repetition codes

Article Multidisciplinary Sciences

Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits

Ming Gong et al.

Summary: The study successfully demonstrated the experimental realization of the [5, 1, 3] code, verifying key aspects such as error identification and correction, logical operations, and state decoding.

NATIONAL SCIENCE REVIEW (2022)

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Article Physics, Multidisciplinary

Error Mitigation for Universal Gates on Encoded Qubits

Christophe Piveteau et al.

Summary: The Eastin-Knill theorem states the impossibility of a universal set of transversal gates for any quantum error-correcting code; implementing noisy encoded T gates remains a challenge and may hinder practical applications in the near future; combining error correction and error mitigation methods allows for the implementation of Clifford + T circuits on small error-corrected devices, potentially surpassing state-of-the-art classical simulation algorithms.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Error Mitigation and Quantum-Assisted Simulation in the Error Corrected Regime

M. Lostaglio et al.

Summary: The article introduces a standard approach to quantum computing by promoting a set of classical operations to a universal set with the addition of magic quantum states, and introduces a new concept of quantum-assisted robustness of magic (QROM) to measure the value of magic resources. The QROM technique shows how adding noisy magic resources can enhance classical quasiprobability simulations of a quantum circuit.

PHYSICAL REVIEW LETTERS (2021)

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Article Multidisciplinary Sciences

Exponential suppression of bit or phase errors with cyclic error correction

Zijun Chen et al.

Summary: This study achieved exponential suppression of bit-flip or phase-flip errors in a two-dimensional grid of superconducting qubits using one-dimensional repetition codes, reducing logical error per round by more than 100-fold. Additionally, a method for analyzing error correlations with high precision was introduced, aiding in quantum error correction efforts.

NATURE (2021)

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Article Physics, Applied

Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise

George S. Barron et al.

Summary: Encoding symmetries of the simulated Hamiltonian in the VQE ansatz can reduce classical and quantum resources, and these improvements persist in the presence of noise, as demonstrated through simulations of H2 molecule and a Heisenberg model. Error-mitigation techniques further improve the quality of results.

PHYSICAL REVIEW APPLIED (2021)

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Article Multidisciplinary Sciences