Multiplexed bi-layered realization of fault-tolerant quantum computation over optically networked trapped-ion modules

Abstract

We study an architecture for fault-tolerant measurement-based quantum computation (FT-MBQC) over optically-networked trapped-ion modules. The architecture is implemented with a finite number of modules and ions per module, and leverages photonic interactions for generating remote entanglement between modules and local Coulomb interactions for intra-modular entangling gates. We focus on generating the topologically protected Raussendorf-Harrington-Goyal (RHG) lattice cluster state, which is known to be robust against lattice bond failures and qubit noise, with the modules acting as lattice sites. To ensure that the remote entanglement generation rates surpass the bond-failure tolerance threshold of the RHG lattice, we employ spatial and temporal multiplexing. For realistic system timing parameters, we estimate the code cycle time of the RHG lattice and the ion resources required in a bi-layered implementation, where the number of modules matches the number of sites in two lattice layers, and qubits are reinitialized after measurement. For large distances between modules, we incorporate quantum repeaters between sites and analyze the benefits in terms of cumulative resource requirements. Finally, we derive and analyze a qubit noise-tolerance threshold inequality for the RHG lattice generation in the proposed architecture that accounts for noise from various sources. This includes the depolarizing noise arising from the photonically-mediated remote entanglement generation between modules due to finite optical detection efficiency, limited visibility, and the presence of dark clicks, in addition to the noise from imperfect gates and measurements, and memory decoherence with time. Our work thus underscores the hardware and channel threshold requirements to realize distributed FT-MBQC in a leading qubit platform today -- trapped ions.

20 pages, 19 figures

References in corpus (34)

• Fault-tolerant quantum computation by anyons
• General Benchmarks for Quantum Repeaters
• Fundamental Limits of Repeaterless Quantum Communications
• Trapped-Ion Quantum Computing: Progress and Challenges
• Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
• Topological fault-tolerance in cluster state quantum computation
• Roads towards fault-tolerant universal quantum computation
• Experimental Comparison of Two Quantum Computing Architectures
• Efficient long distance quantum communication
• A fault-tolerant one-way quantum computer
• Robust long-distance entanglement and a loophole-free Bell test with ions and photons
• Distributed Quantum Computation Based-on Small Quantum Registers
• Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
• Blueprint for a microwave trapped-ion quantum computer
• Fault-tolerant quantum repeaters with minimal physical resources, and implementations based on single photon emitters
• Entangling single atoms over 33 km telecom fibre
• Photonic architecture for scalable quantum information processing in NV-diamond
• Long-range quantum entanglement in noisy cluster states
• 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
• Scalable ion traps for quantum information processing
• One-way quantum repeater based on near-deterministic photon-emitter interfaces
• Fault tolerant quantum computation with very high threshold for loss errors
• Local Fault-tolerant Quantum Computation
• Prospects for measurement-based quantum computing with solid state spins
• Foliated Quantum Codes
• A scalable, high-speed measurement-based quantum computer using trapped ions
• Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform
• Fault-tolerant quantum computation with non-deterministic entangling gates
• Multiplexed quantum repeaters based on dual-species trapped-ion systems
• Generation of three-dimensional cluster entangled state
• Quantum repeaters based on two species trapped ions
• Generation of large-scale continuous-variable cluster states multiplexed both in time and frequency domains
• Entangling Quantum Memories via Heralded Photonic Bell Measurement
• Physical Realization of Measurement Based Quantum Computation