Genuine quantum networks: superposed tasks and addressing

Abstract

We show how to make quantum networks, both standard and entanglement-based, genuine quantum by providing them with the possibility of handling superposed tasks and superposed addressing. This extension of their functionality relies on a quantum control register, which specifies not only the task of the network, but also the corresponding weights in a coherently superposed fashion. Although adding coherent control to classical tasks, such as sending or measuring -or not doing so-, is in general impossible, we introduce protocols that are able to mimick this behavior under certain conditions. We achieve this by always performing the classical task, either on the desired state or a properly chosen dummy state. We provide several examples, and show that externally controlling quantum superposition of tasks offers new possibilities and advantages over usually considered single functionality. For instance, superpositions of different target state configurations shared among different nodes of the network can be prepared, or quantum information can be sent among a superposition of different paths or to different destinations.

19 pages, 7 figures

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• Quantum Internet Protocol Stack: a Comprehensive Survey
• Entanglement-Assisted Quantum Networks: Mechanics, Enabling Technologies, Challenges, and Research Directions
• Review of Distributed Quantum Computing. From single QPU to High Performance Quantum Computing
• Complex Quantum Networks: a Topical Review
• Optimized Quantum Networks
• Entanglement formation in continuous-variable random quantum networks
• Quantum Internet Addressing
• Quantum MAC: Genuine Entanglement Access Control via Many-Body Dicke States
• Entanglement Distribution in the Quantum Internet: Knowing when to Stop!
• Superposed Quantum Error Mitigation
• Enhancing Quantum Computation via Superposition of Quantum Gates
• Intra-QLAN Connectivity: beyond the Physical Topology
• Quantum Internet: from Medium Access Control to Entanglement Access Control
• Entanglement-Based Artificial Topology: Neighboring Remote Network Nodes
• Improving entanglement purification through coherent superposition of roles
• Accelerating multipartite entanglement generation in non-Hermitian superconducting qubits
• Generation of photonic tensor network states with Circuit QED
• Scalable Determination of Multipartite Entanglement in Quantum Networks
• Implementation of a quantum addressable router using superconducting qubits
• Preparing Remote States for Genuine Quantum Networks