Reliable Quantum Communications based on Asymmetry in Distillation and Coding

Abstract

The reliable provision of entangled qubits is an essential precondition in a variety of schemes for distributed quantum computing. This is challenged by multiple nuisances, such as errors during the transmission over quantum links, but also due to degradation of the entanglement over time due to decoherence. The latter can be seen as a constraint on the latency of the quantum protocol, which brings the problem of quantum protocol design into the context of latency-reliability constraints. We address the problem through hybrid schemes that combine: (1) indirect transmission based on teleportation and distillation; (2) direct transmission, based on quantum error correction (QEC). The intuition is that, at present, the quantum hardware offers low fidelity, which demands distillation; on the other hand, low latency can be obtained by QEC techniques. It is shown that, in the proposed framework, the distillation protocol gives rise to asymmetries that can be exploited by asymmetric quantum error correcting code (QECC), which sets the basis for unique hybrid distillation and coding design. Our results show that ad-hoc asymmetric codes give, compared to conventional QEC, a performance boost and codeword size reduction both in a single link and in a quantum network scenario.

29 pages, 12 figures

References in corpus (35)

• Quantum cryptography: Public key distribution and coin tossing
• Quantum sensing
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Good Quantum Error-Correcting Codes Exist
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Multiple Particle Interference and Quantum Error Correction
• Multi-party entanglement in graph states
• Quantum repeaters based on entanglement purification
• Realization of a multi-node quantum network of remote solid-state qubits
• Efficient high-fidelity quantum computation using matter qubits and linear optics
• Quantum Internet: Networking Challenges in Distributed Quantum Computing
• Efficient long distance quantum communication
• Sparse Graph Codes for Quantum Error-Correction
• Quantum codes on a lattice with boundary
• Entanglement purification and quantum error correction
• Hybrid quantum repeater using bright coherent light
• When Entanglement meets Classical Communications: Quantum Teleportation for the Quantum Internet (Invited Paper)
• Long-distance entanglement purification for quantum communication
• Fault-tolerant quantum repeaters with minimal physical resources, and implementations based on single photon emitters
• A Link Layer Protocol for Quantum Networks
• Topological quantum computing with a very noisy network and local error rates approaching one percent
• Surface code quantum communication
• System Design for a Long-Line Quantum Repeater
• Designing a Quantum Network Protocol
• Optimized Entanglement Purification
• Distributing Graph States Over Arbitrary Quantum Networks
• Experimental demonstration of entanglement delivery using a quantum network stack
• A Modular Quantum Compilation Framework for Distributed Quantum Computing
• Experimental preparation of Werner state via spontaneous parametric down-conversion
• An integrated quantum repeater at telecom wavelength with single atoms in optical fiber cavities
• On the analytical convergence of the QPA procedure
• Piggybacking on Quantum Streams
• Short Codes for Quantum Channels with One Prevalent Pauli Error Type
• Near-term $n$ to $k$ distillation protocols using graph codes