Multiplexed Quantum Communication with Surface and Hypergraph Product Codes
arXiv:2406.08832 · doi:10.22331/q-2025-01-28-1613
Abstract
Connecting multiple processors via quantum interconnect technologies could help overcome scalability issues in single-processor quantum computers. Transmission via these interconnects can be performed more efficiently using quantum multiplexing, where information is encoded in high-dimensional photonic degrees of freedom. We explore the effects of multiplexing on logical error rates in surface codes and hypergraph product codes. We show that, although multiplexing makes loss errors more damaging, assigning qubits to photons in an intelligent manner can minimize these effects, and the ability to encode higher-distance codes in a smaller number of photons can result in overall lower logical error rates. This multiplexing technique can also be adapted to quantum communication and multimode quantum memory with high-dimensional qudit systems.
15 pages + 11-page appendices, 21 figures
References in corpus (41)
- Surface codes: Towards practical large-scale quantum computation
- Review article: Linear optical quantum computing
- Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
- Pulsed energy-time entangled twin-photon source for quantum communication
- Photonic quantum information processing: a concise review
- Multimode quantum memory based on atomic frequency combs
- Surface code quantum computing by lattice surgery
- Quantum repeaters: From quantum networks to the quantum internet
- Efficient long distance quantum communication
- Development of Quantum InterConnects for Next-Generation Information Technologies
- Quantum Repeater with Encoding
- Quantum LDPC codes with positive rate and minimum distance proportional to n^{1/2}
- Femtosecond Time-Bin Entangled Qubits for Quantum Communication
- High-fidelity gates with mid-circuit erasure conversion in a metastable neutral atom qubit
- Highly efficient optical quantum memory with long coherence time in cold atoms
- Erasure conversion for fault-tolerant quantum computing in alkaline earth Rydberg atom arrays
- Discrete, Tunable Color Entanglement
- Surface code quantum communication
- Fault tolerant quantum computation with very high threshold for loss errors
- Quantum Photonic Interconnect
- Thresholds for topological codes in the presence of loss
- Erasure conversion in a high-fidelity Rydberg quantum simulator
- Quantum information processing with bosonic qubits in circuit QED
- Experimental investigation of the robustness of partially entangled photons over 11km
- Linear-Time Maximum Likelihood Decoding of Surface Codes over the Quantum Erasure Channel
- A high bandwidth quantum repeater
- Quantum Error Correction with Metastable States of Trapped Ions Using Erasure Conversion
- Experimental quantum coding against photon loss error
- Erasure qubits: Overcoming the limit in superconducting circuits
- Demonstrating a long-coherence dual-rail erasure qubit using tunable transmons
- Stabilizing distinguishable qubits against spontaneous decay by detected-jump correcting quantum codes
- Quantum Reed-Solomon Codes
- Quantum multiplexing
- Hunting for quantum-classical crossover in condensed matter problems
- Resource reduction for distributed quantum information processing using quantum multiplexed photons
- Quantum Interleaver: Quantum Error Correction for Burst Error
- Aggregating Quantum Networks
- Fast erasure decoder for hypergraph product codes
- Interoperability in encoded quantum repeater networks
- Factoring using 2n+2 qubits with Toffoli based modular multiplication
- Resource Reduction in Multiplexed High-Dimensional Quantum Reed-Solomon Codes