Quantum Error Correction with Metastable States of Trapped Ions Using Erasure Conversion

Abstract

Erasures, or errors with known locations, are a more favorable type of error for quantum error-correcting codes than Pauli errors. Converting physical noise into erasures can significantly improve the performance of quantum error correction. Here we apply the idea of performing erasure conversion by encoding qubits into metastable atomic states, proposed by Wu, Kolkowitz, Puri, and Thompson [Nat. Comm. 13, 4657 (2022)], to trapped ions. We suggest an erasure-conversion scheme for metastable trapped-ion qubits and develop a detailed model of various types of errors. We then compare the logical performance of ground and metastable qubits on the surface code under various physical constraints, and conclude that metastable qubits may outperform ground qubits when the achievable laser power is higher for metastable qubits.

20 pages, 8 figures

References in corpus (21)

• Surface codes: Towards practical large-scale quantum computation
• Suppressing quantum errors by scaling a surface code logical qubit
• Fault-tolerant quantum computation with high threshold in two dimensions
• Realizing Repeated Quantum Error Correction in a Distance-Three Surface Code
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Realization of an Error-Correcting Surface Code with Superconducting Qubits
• Low-distance Surface Codes under Realistic Quantum Noise
• Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
• Fault-tolerant quantum computation against biased noise
• Errors in trapped-ion quantum gates due to spontaneous photon scattering
• Universal gate operations on nuclear spin qubits in an optical tweezer array of ${}^{171}$Yb atoms
• Fault-Tolerant Weighted Union-Find Decoding on the Toric Code
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• A leakage-resilient approach to fault-tolerant quantum computing with superconducting elements
• Tailored XZZX codes for biased noise
• Designing Filter Functions of Frequency-Modulated Pulses for High-Fidelity Two-Qubit Gates in Ion Chains
• Photon scattering errors during stimulated Raman transitions in trapped-ion qubits
• Optimized pulsed sideband cooling and enhanced thermometry of trapped ions
• Certified quantum gates
• Efficient motional-mode characterization for high-fidelity trapped-ion quantum computing
• Time-Optimal Two- and Three-Qubit Gates for Rydberg Atoms

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• Universal gates for a metastable qubit in strontium-88
• Magic State Injection with Erasure Qubits
• Quantum low-density parity-check codes for erasure-biased atomic quantum processors
• Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
• Coherent Information Phase Transition in a Noisy Quantum Circuit
• Erasure conversion in Majorana qubits via local quasiparticle detection
• Multiplexed Quantum Communication with Surface and Hypergraph Product Codes
• Bilayer Ion Trap Design for 2D Arrays
• Locating Rydberg Decay Error in SWAP-Leakage Reduction Circuit Protocol
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• Spontaneous Raman scattering out of a metastable atomic qubit
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• Direct measurement of isotope shifts in the barium 6s${}^2$ ${}^1$S${}_0$-5d6p ${}^3$D${}_1^{\text{o}}$ transition
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• Nuclear spin quenching of the ${}^2{S}_{1/2}\to {}^2{F}_{7/2}$ electric octupole transition in ${}^{173}$Yb${}^{+}$
• Structure Theorem for Quantum Replacer Codes
• iSwitch: QEC on Demand via In-Situ Encoding of Bare Qubits for Ion Trap Architectures
• Proposal for erasure conversion in integer fluxonium qubits
• Impure codes exceeding the pure bounds for quantum local recovery
• Soft information decoding with superconducting qubits
• Robust and Parallel Control of Many Qubits
• Exactly-solved model of light-scattering errors in quantum simulations with metastable trapped-ion qubits