Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes
arXiv:2011.15076 · doi:10.1038/s41534-021-00438-7
Abstract
We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information. Specifically, we propose to encode the transmitted qubits in a concatenated code consisting of two levels. On the first level we use a continuous-variable GKP code encoding the qubit in a single bosonic mode. On the second level we use a small discrete-variable code. Such an architecture has two important features. Firstly, errors on each of the two levels are corrected in repeaters of two different types. This enables for achieving performance needed in practical scenarios with a reduced cost with respect to an architecture for which all repeaters are the same. Secondly, the use of continuous-variable GKP code on the lower level generates additional analog information which enhances the error-correcting capabilities of the second-level code such that long-distance communication becomes possible with encodings consisting of only four or seven optical modes.
arXiv comment17 + 26 pages, 17 figures. v2: additional discussions of generation of higher-level-encoded states and of the secret-key rate performance metric; detailed simulation error analysis; restructuring of the sections with the new "Methods" section; published version. See also the related work by Fukui et al., arXiv:2011.14876
References in corpus (45)
- Encoding a qubit in an oscillator
- General Benchmarks for Quantum Repeaters
- Fundamental Limits of Repeaterless Quantum Communications
- Optimal eavesdropping in quantum cryptography with six states
- Bidirectional and efficient conversion between microwave and optical light
- All photonic quantum repeaters
- Fundamental rate-loss tradeoff for optical quantum key distribution
- Quantum error correction of a qubit encoded in grid states of an oscillator
- Encoding a qubit in a trapped-ion mechanical oscillator
- Codes for the Quantum Erasure Channel
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Performance and structure of single-mode bosonic codes
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Ultrafast and Fault-Tolerant Quantum Communication across Long Distances
- Approximate quantum error correction can lead to better codes
- Fault-tolerant bosonic quantum error correction with the surface-GKP code
- Coherent conversion between microwave and optical photons -- an overview of physical implementations
- One-way quantum repeater based on near-deterministic photon-emitter interfaces
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- All-optical generation of states for "Encoding a qubit in an oscillator"
- Quantum Error Correction with the Toric-GKP Code
- Generating Grid States From Schrödinger Cat States without Post-Selection
- Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
- Rate-distance tradeoff and resource costs for all-optical quantum repeaters
- Cavity piezo-mechanics for superconducting-nanophotonic quantum interface
- Operator-sum Representation for Bosonic Gaussian Channels
- Description of a quantum convolutional code
- Analog quantum error correction with encoding a qubit into an oscillator
- Heralded Generation and Detection of Entangled Microwave--Optical Photon Pairs
- Stabilization of Finite-Energy Gottesman-Kitaev-Preskill States
- Encoding an oscillator into many oscillators
- Ultrafast Long-Distance Quantum Communication with Static Linear Optics
- Electro-optic entanglement source for microwave to telecom quantum state transfer
- All-Optical Long-Distance Quantum Communication with Gottesman-Kitaev-Preskill qubits
- Encoding qubits into oscillators with atomic ensembles and squeezed light
- Constructing finite dimensional codes with optical continuous variables
- Fundamental building block for all-optical scalable quantum networks
- Robustness of non-Gaussian entanglement against noisy amplifier and attenuator environments
- Ultrafast Fault-Tolerant Long-Distance Quantum Communication with Static Linear Optics
- Key rate of quantum key distribution with hashed two-way classical communication
- Role of syndrome information on a one-way quantum repeater using teleportation-based error correction
- Resource reduction for distributed quantum information processing using quantum multiplexed photons
- One way quantum repeaters with quantum Reed-Solomon codes
- Key rates for quantum key distribution protocols with asymmetric noise
- Serialized Quantum Error Correction Protocol for High-Bandwidth Quantum Repeaters
Cited by in corpus (36)
- Quantum repeaters: From quantum networks to the quantum internet
- Entanglement-Assisted Quantum Networks: Mechanics, Enabling Technologies, Challenges, and Research Directions
- Entanglement-Based Quantum Information Technology
- Low overhead fault-tolerant quantum error correction with the surface-GKP code
- All-Optical Long-Distance Quantum Communication with Gottesman-Kitaev-Preskill qubits
- Analysis of Multipartite Entanglement Distribution using a Central Quantum-Network Node
- Building a large-scale quantum computer with continuous-variable optical technologies
- Generation of optical Gottesman-Kitaev-Preskill states with cavity QED
- Quantum NETwork: from theory to practice
- High-threshold fault-tolerant quantum computation with the Gottesman-Kitaev-Preskill qubit under noise in an optical setup
- Finite Rate QLDPC-GKP Coding Scheme that Surpasses the CSS Hamming Bound
- Advances in Bosonic Quantum Error Correction with Gottesman-Kitaev-Preskill Codes: Theory, Engineering and Applications
- Information processing at the speed of light
- Quantum error correction with higher Gottesman-Kitaev-Preskill codes: minimal measurements and linear optics
- All-photonic GKP-qubit repeater using analog-information-assisted multiplexed entanglement ranking
- Memoryless quantum repeaters based on cavity-QED and coherent states
- Continuous-variable quantum communication
- Subsystem analysis of continuous-variable resource states
- On the design and analysis of near-term quantum network protocols using Markov decision processes
- Long-range-enhanced surface codes
- Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
- Quantum Switches for Gottesman-Kitaev-Preskill Qubit-based All-Photonic Quantum Networks
- Optimal encoding of oscillators into more oscillators
- Efficient Concatenated Bosonic Code for Additive Gaussian Noise
- Optimization of Quantum-Repeater Networks using Stochastic Automatic Differentiation
- Interfacing Gottesman-Kitaev-Preskill Qubits to Quantum Memories
- High-Rate Amplitude-Damping Shor Codes with Immunity to Collective Coherent Errors
- Adaptive Non-Gaussian Quantum State Engineering
- On-Demand Microwave Single-Photon Source Based on Tantalum Thin Film
- Subexponential rate versus distance with time-multiplexed quantum repeaters
- Husimi phase distribution in non-Gaussian operations
- Surpassing the loss-noise robustness trade-off in quantum key distribution
- Efficient Quantum Repeater with Single Atoms in Cavities
- Safeguarding Oscillators and Qudits with Distributed Two-Mode Squeezing
- Achievable rates for concatenated square Gottesman-Kitaev-Preskill codes
- One-Way Quantum Repeater with Rare-Earth-Ions Doped in Solids