Deterministic correction of qubit loss

Abstract

The loss of qubits - the elementary carriers of quantum information - poses one of the fundamental obstacles towards large-scale and fault-tolerant quantum information processors. In this work, we experimentally demonstrate a complete toolbox and the implementation of a full cycle of qubit loss detection and correction on a minimal instance of a topological surface code. This includes a quantum non-demolition measurement of a qubit loss event that conditionally triggers a restoration procedure, mapping the logical qubit onto a new encoding on the remaining qubits. The demonstrated methods, implemented here in a trapped-ion quantum processor, are applicable to other quantum computing architectures and codes, including leading 2D and 3D topological quantum error correcting codes. These tools complement previously demonstrated techniques to correct computational errors, and in combination constitute essential building blocks for complete and scalable quantum error correction.

13 pages, 8 figures, 3 tables

References in corpus (9)

• Topological Quantum Distillation
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Experimental demonstration of fault-tolerant state preparation with superconducting qubits
• Experimental demonstration of topological error correction
• Experimental demonstration of a graph state quantum error-correction code
• Parallel low-loss measurement of multiple atomic qubits
• Leakage detection for a transmon-based surface code
• Physical-depth architectural requirements for generating universal photonic cluster states

Cited by in corpus (49)

• A compact ion-trap quantum computing demonstrator
• A Race Track Trapped-Ion Quantum Processor
• Erasure conversion in a high-fidelity Rydberg quantum simulator
• Entangling logical qubits with lattice surgery
• Experimental demonstration of continuous quantum error correction
• Decoding algorithms for surface codes
• Repetitive readout and real-time control of nuclear spin qubits in ${}^{171}$Yb atoms
• Realizing quantum gates with optically-addressable ${}^{171}$Yb${}^{+}$ ion qudits
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Quantum Error Correction with Quantum Autoencoders
• Character randomized benchmarking for non-multiplicity-free groups with applications to subspace, leakage, and matchgate randomized benchmarking
• Protecting Expressive Circuits with a Quantum Error Detection Code
• Single-qubit gates with errors at the $10^{-7}$ level
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Continuous dynamical decoupling of optical ${}^{171}$Yb${}^{+}$ qudits with radiofrequency fields
• Loss-tolerant all-photonic quantum repeater with generalized Shor code
• Fast Flux-Activated Leakage Reduction for Superconducting Quantum Circuits
• Enhancing Detection of Topological Order by Local Error Correction
• Circuit-based leakage-to-erasure conversion in a neutral atom quantum processor
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits
• Towards multiqudit quantum processor based on a ${}^{171}$Yb${}^{+}$ ion string: Realizing basic quantum algorithms
• Engineering unsteerable quantum states with active feedback
• Quantum Error Correction resilient against Atom Loss
• Subradiant edge states in an atom chain with waveguide-mediated hopping
• Measurement-based infused circuits for variational quantum eigensolvers
• A high optical access cryogenic system for Rydberg atom arrays with a 3000-second trap lifetime
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity
• Verifiable measurement-based quantum random sampling with trapped ions
• Efficient percolation simulations for lossy photonic fusion networks
• Measurement based estimator scheme for continuous quantum error correction
• Randomized Benchmarking with Leakage Errors
• Power-law entanglement and Hilbert space fragmentation in non-reciprocal quantum circuits
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Susceptibility of Trapped-Ion Qubits to Low-Dose Radiation Sources
• Ion trap with gold-plated alumina: substrate and surface characterization
• Fundamental thresholds for computational and erasure errors via the coherent information
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Error metric for non-trace-preserving quantum operations
• Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits
• Quantum-Classical Auxiliary Field Quantum Monte Carlo with Matchgate Shadows on Trapped Ion Quantum Computers
• Robustness of near-thermal dynamics on digital quantum computers
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Suppressing decoherence in quantum state transfer with unitary operations
• Robust entanglement by continuous dynamical decoupling of the J-coupling interaction
• On the interpretability of neural network decoders
• Disentangling quantum autoencoder
• Error detection without post-selection in adaptive quantum circuits