Entanglement Routing: Difference between revisions
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Edit by Lucas: Corrections and suggestions from our last talk.
(Added more papers on the further information section based on our talk with Kaushik from his "Distributed Routing in a Quantum Internet" paper. To do: add something from Pirandola) |
(Edit by Lucas: Corrections and suggestions from our last talk.) Tag: merged edit of another user |
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==Functionality Description== | ==Functionality Description== | ||
Entanglement routing allows a quantum network to generate long distance entanglement between two or multiple nodes. As quantum information transmissivity decays exponentially in function of the distance, quantum routers are needed to successfully establish entangled states between any nodes on | Entanglement routing allows a quantum network to generate long distance entanglement between two or multiple nodes. A Quantum router is a device used to transmit quantum information over long distances along a quantum network using entanglement swapping between routers. As quantum information transmissivity decays exponentially in function of the distance, quantum routers are needed to successfully establish entangled states between any nodes on the quantum network. | ||
There are entanglement routing protocols that are specifically designed for certain network topology e.g: linear, rings, spheres, grids, recursively generated network or for networks with arbitrary topology. | |||
The main goal of entanglement routing is to develop efficient routing protocols to enable long distance entanglement. | The main goal of entanglement routing is to develop efficient routing protocols to enable long distance entanglement. | ||
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==Protocols== | ==Protocols== | ||
<!-- List of different types of example protocol achieving the functionality--> | <!-- List of different types of example protocol achieving the functionality--> | ||
* | * Almost all of the protocols within this functionality are in the [[:Category: Quantum Memory Network Stage|Quantum Memory Network Stage]]. | ||
Entanglement routing protocol: | |||
* Quantum | * [[Routing Entanglement in the Quantum Internet]] | ||
* [[Distributed Routing in a Quantum Internet]] | |||
<!-- Maybe in the future make a section on the wiki about applications or usages of quantum networks ? --> | |||
Related protocol: | |||
* [[Distributing Graph States Over Arbitrary Quantum Networks]] | |||
==Properties== | ==Properties== | ||
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* Quantum repeater nodes: | * Quantum repeater nodes: | ||
** Contain qubits that in the short and medium term are applicable to only basic operations i.e, Bell State Measurements to pairs of neighborhood nodes allowing the Entanglement Swapping operation. | ** Contain qubits that in the short and medium term are applicable to only basic operations i.e, Bell State Measurements to pairs of neighborhood nodes allowing the Entanglement Swapping operation. | ||
** Have global (all the network) or local (just neighborhood) information on the state of other nodes. | |||
* Some protocols consider fault-tolerant operations on the nodes but other use [https://en.wikipedia.org/wiki/Entanglement_distillation Entanglement Distillation] or Error Corrections schemes on the repeater nodes [https://www.nature.com/articles/s41534-021-00438-7 5]. | * Some protocols consider fault-tolerant operations on the nodes but other use [https://en.wikipedia.org/wiki/Entanglement_distillation Entanglement Distillation] or Error Corrections schemes on the repeater nodes [https://www.nature.com/articles/s41534-021-00438-7 5]. | ||
==Further Information== | ==Further Information== | ||
<!-- Any issue that could not be addressed or find a place in the above sections or any review paper discussing a feature of various types of protocols related to the functionality. --> | <!-- Any issue that could not be addressed or find a place in the above sections or any review paper discussing a feature of various types of protocols related to the functionality. --> | ||
All of the approaches below were based on the specific structure of the physical graphs and manipulation of multi-partite entangled states. However, with current day technologies, these solutions are very difficult to realize in practice. | All of the approaches below were based on the specific structure of the physical graphs and manipulation of multi-partite entangled states. However, with current day technologies, these solutions are very difficult to realize in practice. | ||
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* In [[Distributed Routing in a Quantum Internet]] their objective is to minimize the latency of the network to serve a request to create entanglement between two distant nodes in the network. | * In [[Distributed Routing in a Quantum Internet]] their objective is to minimize the latency of the network to serve a request to create entanglement between two distant nodes in the network. | ||
* In [https://ieeexplore.ieee.org/document/9210823 Entanglement Distribution in a Quantum Network: A Multicommodity Flow-Based Approach - Chakraborty et al. (2020)] they consider the problem of optimizing the achievable EPR-pair distribution rate between multiple source-destination pairs. | * In [https://ieeexplore.ieee.org/document/9210823 Entanglement Distribution in a Quantum Network: A Multicommodity Flow-Based Approach - Chakraborty et al. (2020)] they consider the problem of optimizing the achievable EPR-pair distribution rate between multiple source-destination pairs. | ||
Other Works: | |||
* In [https://arxiv.org/abs/1601.00966 Capacities of repeater-assisted quantum communications - Pirandola (2016)] analyzed entanglement-generation capacities of repeater networks assuming ideal repeater nodes and argued that for a single flow the maximum entanglement-generation rate <math>R_1</math> reduces to the classical max-flow min-cut problem. | |||
* In [https://arxiv.org/abs/1510.08863 Fundamental Limits of Repeaterless Quantum Communications - Pirandola et al. (2015)] provides precise and general benchmarks for quantum repeaters. | |||
==References== | ==References== | ||
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# [https://www.nature.com/articles/s41534-021-00438-7 Rozpędek et al. Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes (2021)] | # [https://www.nature.com/articles/s41534-021-00438-7 Rozpędek et al. Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes (2021)] | ||
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<div style='text-align: right;'>'' | <div style='text-align: right;'>''Contributed by Lucas Arenstein during the QOSF Mentorship Program''</div> | ||
<div style='text-align: right;'>''Mentor: Shraddha Singh - Reviewer: Kaushik Chakraborty </div> |