High-threshold quantum computing by fusing one-dimensional cluster states

Abstract

We propose a measurement-based model for fault-tolerant quantum computation that can be realised with one-dimensional cluster states and fusion measurements only; basic resources that are readily available with scalable photonic hardware. Our simulations demonstrate high thresholds compared with other measurement-based models realized with basic entangled resources and two-qubit fusion measurements. Its high tolerance to noise indicates that our practical construction offers a promising route to scalable quantum computing with quantum emitters and linear-optical elements.

arXiv comment9 pages, 7 figures, comments welcome

References in corpus (48)

• Surface codes: Towards practical large-scale quantum computation
• Topological quantum memory
• Measurement-based quantum computation with cluster states
• Resource-efficient linear optical quantum computation
• Topological Quantum Distillation
• Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
• Topological fault-tolerance in cluster state quantum computation
• A fault-tolerant one-way quantum computer
• Deterministic Generation of a Cluster State of Entangled Photons
• Topological Order with a Twist: Ising Anyons from an Abelian Model
• A photonic cluster state machine gun
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Building a fault-tolerant quantum computer using concatenated cat codes
• Blueprint for a microwave trapped-ion quantum computer
• Quantum networks based on color centers in diamond
• Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
• The XZZX Surface Code
• From three-photon GHZ states to ballistic universal quantum computation
• Single-photon quantum hardware: towards scalable photonic quantum technology with a quantum advantage
• Photonic architecture for scalable quantum information processing in NV-diamond
• Long-range quantum entanglement in noisy cluster states
• Topological and subsystem codes on low-degree graphs with flag qubits
• Dynamically Generated Logical Qubits
• Fault tolerant quantum computation with very high threshold for loss errors
• Sequential generation of linear cluster states from a single photon emitter
• Poking holes and cutting corners to achieve Clifford gates with the surface code
• Foliated Quantum Codes
• A fault-tolerant continuous-variable measurement-based quantum computation architecture
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Deterministic generation of large-scale entangled photonic cluster state from interacting solid state emitters
• A fault-tolerant non-Clifford gate for the surface code in two dimensions
• Sequential generation of multiphoton entanglement with a Rydberg superatom
• Floquet codes without parent subsystem codes
• Logical blocks for fault-tolerant topological quantum computation
• Performance of planar Floquet codes with Majorana-based qubits
• Universal fault-tolerant measurement-based quantum computation
• Benchmarking the Planar Honeycomb Code
• Photonic resource state generation from a minimal number of quantum emitters
• Fault-tolerant quantum computation with non-deterministic entangling gates
• Scalable spin-photon entanglement by time-to-polarization conversion
• Fault-tolerant qubit from a constant number of components
• Quantum LDPC Codes for Modular Architectures
• Generating Fault-Tolerant Cluster States from Crystal Structures
• A local and scalable lattice renormalization method for ballistic quantum computation
• Tailored cluster states with high threshold under biased noise
• Tailoring fusion-based error correction for high thresholds to biased fusion failures
• Lattice Surgery on the Raussendorf Lattice
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links

Cited by in corpus (31)

• Deterministic photon source of genuine three-qubit entanglement
• Quantum computation from dynamic automorphism codes
• High photon-loss threshold quantum computing using GHZ-state measurements
• Deterministic and reconfigurable graph state generation with a single solid-state quantum emitter
• A Spin-Optical Quantum Computing Architecture
• Tailoring fusion-based photonic quantum computing schemes to quantum emitters
• Tailoring fusion-based error correction for high thresholds to biased fusion failures
• Topological error correcting processes from fixed-point path integrals
• Encoded-Fusion-Based Quantum Computation for High Thresholds with Linear Optics
• Loss-tolerant architecture for quantum computing with quantum emitters
• Heralded generation of entanglement with photons
• A Photonic Parameter-shift Rule: Enabling Gradient Computation for Photonic Quantum Computers
• Hardware requirements for realizing a quantum advantage with deterministic single-photon sources
• Anomaly inflow for CSS and fractonic lattice models and dualities via cluster state measurement
• Efficient percolation simulations for lossy photonic fusion networks
• Minimizing resource overhead in fusion-based quantum computation using hybrid spin-photon devices
• Accommodating Fabrication Defects on Floquet Codes with Minimal Hardware Requirements
• Transforming graph states via Bell state measurements
• Logical qubits with erasure conversion using metastable neutral atoms
• Tailoring Dynamical Codes for Biased Noise: The X${}^3$Z${}^3$ Floquet Code
• Generating graph states with a single quantum emitter and the minimum number of fusions
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Many-Body Entanglement in Solid-State Emitters
• Atom-mediated deterministic generation and stitching of photonic graph states
• A dataflow programming framework for linear optical distributed quantum computing
• Comparing Schemes for Creating Qudit Graph States from 16- & 128-dimensional Hilbert Space using Donors in Silicon
• Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
• Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters
• Deterministic and Programmable Fusion for Scalable Generation of Photonic Graph States
• Optical Quantum Computing
• Building a fusion-based quantum computer using teleported gates