Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters

Abstract

We propose a fault-tolerant quantum error correction architecture consisting of a linear array of emitters and delay lines. In our scheme, a resource state for fault-tolerant quantum computation is generated by letting the emitters interact with a stream of photons and their neighboring emitters. Depending on the number of emitters $n_e$, we study the effect of delay line errors in two regimes: when $n_e$ is a small constant of order unity and when $n_e$ scales with the code distance. Between these two regimes, the logical error rate steadily decreases as $n_e$ increases, from a scaling of $\exp (-c{\eta }^{-1/2})$ to $\exp (-c^{\prime }{\eta }^{-1})$, where $\eta$ is the error rate per unit length in the delay line, for some constants $c,c^{\prime }>0$. We also carry out a detailed study of the break-even point and the fault-tolerance overhead. These studies suggest that the multi-emitter architecture, using the state-of-the-art delay lines, can be used to demonstrate error suppression, assuming other sources of errors are sufficiently small.

27 pages, 14 figures, Accepted for publication in Quantum

References in corpus (59)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Surface codes: Towards practical large-scale quantum computation
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Topological quantum memory
• Measurement-based quantum computation with cluster states
• Interfacing single photons and single quantum dots with photonic nanostructures
• Experimental One-Way Quantum Computing
• Suppressing quantum errors by scaling a surface code logical qubit
• Logical quantum processor based on reconfigurable atom arrays
• Single-Photon Switching and Entanglement of Solid-State Qubits in an Integrated Nanophotonic System
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• Elucidating Reaction Mechanisms on Quantum Computers
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Topological fault-tolerance in cluster state quantum computation
• Parallel implementation of high-fidelity multi-qubit gates with neutral atoms
• Optical quantum computation using cluster states
• Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
• Nanophotonic quantum phase switch with a single atom
• Computing with spin qubits at the surface code error threshold
• Fast universal quantum control above the fault-tolerance threshold in silicon
• Instantaneous non-local computation of low T-depth quantum circuits
• Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
• Atom-Light Interactions in Photonic Crystals
• Deterministic generation of a two-dimensional cluster state
• Universal control of a six-qubit quantum processor in silicon
• A Quantum Gate between a Flying Optical Photon and a Single Trapped Atom
• Deterministic Generation of a Cluster State of Entangled Photons
• A fault-tolerant one-way quantum computer
• Stim: a fast stabilizer circuit simulator
• A photonic cluster state machine gun
• Two-qubit silicon quantum processor with operation fidelity exceeding 99%
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Even more efficient quantum computations of chemistry through tensor hypercontraction
• Quantum computing enhanced computational catalysis
• Precision tomography of a three-qubit donor quantum processor in silicon
• Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Long-range quantum entanglement in noisy cluster states
• Photonic tensor networks produced by a single quantum emitter
• Narrow-line cooling and imaging of Ytterbium atoms in an optical tweezer array
• Fault tolerant quantum computation with very high threshold for loss errors
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• Collective super- and subradiant dynamics between distant optical quantum emitters
• Nonlinear pi phase shift for single fiber-guided photons interacting with a single atom
• 2000-times repeated imaging of strontium atoms in clock-magic tweezer arrays
• Quantum Error Correcting Codes Using Qudit Graph States
• Sparse Blossom: correcting a million errors per core second with minimum-weight matching
• Foliated Quantum Codes
• Constant-overhead quantum error correction with thin planar connectivity
• Fault-tolerant quantum computation with static linear optics
• High-threshold quantum computing by fusing one-dimensional cluster states
• Generation of three-dimensional cluster entangled state
• Deterministic generation of multidimensional photonic cluster states using time-delay feedback
• Quantum LDPC Codes for Modular Architectures
• Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
• Modular architectures to deterministically generate graph states
• Bounds on stabilizer measurement circuits and obstructions to local implementations of quantum LDPC codes
• Interleaving: Modular architectures for fault-tolerant photonic quantum computing