Quantum key distribution over quantum repeaters with encoding: Using Error Detection as an Effective Post-Selection Tool

Abstract

We propose a post-selection technique, based on quantum error detection, for quantum key distribution (QKD) systems that run over quantum repeaters with encoding. In such repeaters, quantum error correction techniques are used for entanglement distillation. By developing an analytical approach to study such quantum repeaters, we show that, in the context of QKD, it is often more efficient to use the error detection, rather than the error correction, capability of the underlying code to sift out cases where an error has been detected. We implement our technique for three-qubit repetition codes by modelling different sources of error in crucial components of the system. We then investigate in detail the impact of such imperfections on the secret key generation rate of the QKD system, and how one can use the information obtained during entanglement swapping and decoding stages to maximize the rate. For benchmarking purposes, we specify the maximum allowed error rates in different components of the setup below which positive key rates can be obtained.

14 pages, 7 figures

References in corpus (28)

• The Quantum Internet
• Experimental quantum teleportation
• Long-distance quantum communication with atomic ensembles and linear optics
• Simple Proof of Security of the BB84 Quantum Key Distribution Protocol
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Overcoming the rate-distance barrier of quantum key distribution without using quantum repeaters
• Experimental demonstration of memory-enhanced quantum communication
• Efficient long distance quantum communication
• Entanglement of two quantum memories via fibers over dozens of kilometres
• Distributed Quantum Computation Based-on Small Quantum Registers
• Quantum Repeater with Encoding
• High fidelity spin entanglement using optimal control
• Ultrafast and Fault-Tolerant Quantum Communication across Long Distances
• Soundness and completeness of quantum root-mean-square errors
• From quantum fusiliers to high-performance networks
• Proof-of-principle experimental demonstration of twin-field type quantum key distribution
• Surface code quantum communication
• Quantum repeaters with imperfect memories: cost and scalability
• Memory-assisted measurement-device-independent quantum key distribution
• Heralded entanglement of two ions in an optical cavity
• Measurement-device-independent quantum key distribution with nitrogen vacancy centers in diamond
• Memory-Assisted Quantum Key Distribution with a Single Nitrogen Vacancy Center
• Role of syndrome information on a one-way quantum repeater using teleportation-based error correction
• One way quantum repeaters with quantum Reed-Solomon codes
• Serialized Quantum Error Correction Protocol for High-Bandwidth Quantum Repeaters
• Secret key rates for an encoded quantum repeater
• Long-distance quantum key distribution with imperfect devices

Cited by in corpus (9)

• All-photonic GKP-qubit repeater using analog-information-assisted multiplexed entanglement ranking
• Near-term $n$ to $k$ distillation protocols using graph codes
• Simple efficient decoders for quantum key distribution over quantum repeaters with encoding
• Quantum repeaters with encoding on nitrogen-vacancy center platforms
• Stabilizer Entanglement Distillation and Efficient Fault-Tolerant Encoders
• On noise in swap ASAP repeater chains: exact analytics, distributions and tight approximations
• Combating quantum errors: an integrated approach
• Distance-four quantum codes with combined postselection and error correction
• Memory-corrected quantum repeaters with adaptive syndrome identification