Resource-efficient and fault-tolerant topological quantum computation with hybrid entanglement of light

Abstract

We propose an all-linear-optical scheme to ballistically generate a cluster state for measurement-based topological fault-tolerant quantum computation using hybrid photonic qubits entangled in a continuous-discrete domain. Availability of near-deterministic Bell-state measurements on hybrid qubits is exploited for the purpose. In the presence of photon losses, we show that our scheme leads to a significant enhancement in both tolerable photon-loss rate and resource overheads. More specifically, we report a photon-loss threshold of $\sim 3.3\times 10^{-3}$, which is higher than those of known optical schemes under a reasonable error model. Furthermore, resource overheads to achieve logical error rate of $10^{-6}(10^{-15})$ is estimated to be $\sim 8.5\times 10^5(1.7\times 10^7)$ which is significantly less by multiple orders of magnitude compared to other reported values in the literature.

arXiv commentTo be published in Physical Review Letters

References in corpus (44)

• Persistent entanglement in arrays of interacting particles
• Fault-tolerant quantum computation with high threshold in two dimensions
• Resource-efficient linear optical quantum computation
• Quantum computation with optical coherent states
• Topological fault-tolerance in cluster state quantum computation
• Optical quantum computation using cluster states
• All photonic quantum repeaters
• A fault-tolerant one-way quantum computer
• Efficient Quantum Computation using Coherent States
• Precise determination of the bond percolation thresholds and finite-size scaling corrections for the s.c., f.c.c., and b.c.c. lattices
• Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• How good must single photon sources and detectors be for efficient linear optical quantum computation?
• Remote creation of hybrid entanglement between particle-like and wave-like optical qubits
• Entangling quantum and classical states of light
• From three-photon GHZ states to ballistic universal quantum computation
• Ultrahigh Error Threshold for Surface Codes with Biased Noise
• Topological Computation without Braiding
• 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
• Fault tolerant quantum computation with very high threshold for loss errors
• Near-deterministic quantum teleportation and resource-efficient quantum computation using linear optics and hybrid qubits
• Resource costs for fault-tolerant linear optical quantum computing
• Noise thresholds for optical cluster-state quantum computation
• Entanglement and teleportation between polarization and wave-like encodings of an optical qubit
• Optical Quantum Computation
• Beating the One-half Limit of Ancilla-free Linear Optics Bell Measurements
• A Photonic Implementation for the Topological Cluster State Quantum Computer
• Fully fault tolerant quantum computation with non-deterministic gates
• Proof of finite surface code threshold for matching
• Fault-Tolerant Topological One-Way Quantum Computation with Probabilistic Two-Qubit Gates
• Nearly Deterministic Bell Measurement for Multiphoton Qubits and Its Application to Quantum Information Processing
• Topological code Autotune
• Dissipative and Non-dissipative Single-Qubit Channels: Dynamics and Geometry
• Fault-tolerant quantum computation with non-deterministic entangling gates
• Generation of hybrid entanglement between a single-photon polarization qubit and a coherent state
• Practical Topological Cluster State Quantum Computing Requires Loss Below 1%
• Characterization of quantum dynamics using quantum error correction
• Coherent State Topological Cluster State Production
• Fault Tolerance in Parity-State Linear Optical Quantum Computing
• Near-deterministic creation of universal cluster states with probabilistic Bell measurements and 3-qubit resource states
• Two different types of optical hybrid qubits for teleportation in a lossy environment
• Quantum code for quantum error characterization
• Fault-tolerant linear optics quantum computation by error-detecting quantum state transfer
• The two-qubit amplitude damping channel: characterization using quantum stabilizer codes

Cited by in corpus (26)

• Building a large-scale quantum computer with continuous-variable optical technologies
• All-photonic architectural roadmap for scalable quantum computing using Greenberger-Horne-Zeilinger states
• Quantum state transfer between two photons with polarization and orbital angular momentum via quantum teleportation technology
• Highly photon loss tolerant quantum computing using hybrid qubits
• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Graph-theoretical optimization of fusion-based graph state generation
• Long-distance entanglement sharing using hybrid states of discrete and continuous variables
• Scheme for the generation of hybrid entanglement between time-bin and wavelike encodings
• Teleportation of Hybrid Entangled States with Continuous-Variable Entanglement
• Quantum teleportation of hybrid qubits and single-photon qubits using Gaussian resources
• Parity-encoding-based quantum computing with Bayesian error tracking
• Universal resource-efficient topological measurement-based quantum computation via color-code-based cluster states
• Hierarchical Quantum Network using Hybrid Entanglement
• Virtual distillation with noise dilution
• Catability as a metric for evaluating superposed coherent states
• Converting between qubits of different forms
• Experimental implementation of Hardy-like quantum pigeonhole paradoxes
• Adapting coherent-state superpositions in noisy channels
• Two-Mode Bosonic State Tomography with Single-Shot Joint-Parity Measurement of a Trapped Ion
• Loss-tolerant concatenated Bell-state measurement with encoded coherent-state qubits for long-range quantum communication
• Deterministic generation of hybrid entangled states using quantum walks
• Photonic Hybrid Quantum Computing
• Relative-belief inference in quantum information theory
• Linear optical quantum computing with a hybrid squeezed cat code
• Towards effective shaping of large-amplitude high-fidelity Schrodinger cat states by inefficient photon number resolving detection
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems