Parity-encoding-based quantum computing with Bayesian error tracking
arXiv:2207.06805 · doi:10.1038/s41534-023-00705-9
Abstract
Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale generation of graph states and introduce logical errors. In this work, we propose a linear optical topological MBQC protocol employing multiphoton qubits based on the parity encoding, which turns out to be highly photon-loss tolerant and resource-efficient even under the effects of nonideal entangling operations that unavoidably corrupt nearby qubits. For the realistic error analysis, we introduce a Bayesian methodology, in conjunction with the stabilizer formalism, to track errors caused by such detrimental effects. We additionally suggest a graph-theoretical optimization scheme for the process of constructing an arbitrary graph state, which greatly reduces its resource overhead. Notably, we show that our protocol is advantageous over several other existing approaches in terms of fault-tolerance, resource overhead, or feasibility of basic elements.
arXiv commentMain text: 15 pages, 10 figures / Supplemental Material: 17 pages, 8 figures
References in corpus (36)
- Measurement-based quantum computation with cluster states
- Multiple Particle Interference and Quantum Error Correction
- Quantum Computing with Very Noisy Devices
- Resource-efficient linear optical quantum computation
- Topological fault-tolerance in cluster state quantum computation
- On Bell measurements for teleportation
- A fault-tolerant one-way quantum computer
- Efficient Quantum Computation using Coherent States
- Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
- Deterministic quantum teleportation of photonic quantum bits by a hybrid technique
- How good must single photon sources and detectors be for efficient linear optical quantum computation?
- Almost-linear time decoding algorithm for topological codes
- From three-photon GHZ states to ballistic universal quantum computation
- 3/4-efficient Bell measurement with passive linear optics and unentangled ancillae
- Loss Tolerant Optical Qubits
- Fault tolerant quantum computation with very high threshold for loss errors
- Percolation, renormalization, and quantum computing with non-deterministic gates
- Resource costs for fault-tolerant linear optical quantum computing
- Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
- Optical Quantum Computation
- Fundamental building block for all-optical scalable quantum networks
- Beating the One-half Limit of Ancilla-free Linear Optics Bell Measurements
- Fully fault tolerant quantum computation with non-deterministic gates
- Logical blocks for fault-tolerant topological quantum computation
- Fault-Tolerant Topological One-Way Quantum Computation with Probabilistic Two-Qubit Gates
- Resource-efficient and fault-tolerant topological quantum computation with hybrid entanglement of light
- Universal fault-tolerant measurement-based quantum computation
- Fault-tolerant quantum computation with non-deterministic entangling gates
- All-photonic architectural roadmap for scalable quantum computing using Greenberger-Horne-Zeilinger states
- Near-deterministic creation of universal cluster states with probabilistic Bell measurements and 3-qubit resource states
- Highly photon loss tolerant quantum computing using hybrid qubits
- Nearly deterministic Bell measurement with multiphoton entanglement for efficient quantum information processing
- Boosting Linear-Optical Bell Measurement Success Probability with Pre-Detection Squeezing and Imperfect Photon-Number-Resolving Detectors
- A local and scalable lattice renormalization method for ballistic quantum computation
- Lattice Surgery on the Raussendorf Lattice
- Universal resource-efficient topological measurement-based quantum computation via color-code-based cluster states
Cited by in corpus (5)
- Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
- Graph-theoretical optimization of fusion-based graph state generation
- Encoded-Fusion-Based Quantum Computation for High Thresholds with Linear Optics
- Photonic Hybrid Quantum Computing
- Building a fusion-based quantum computer using teleported gates