Protocols for Creating and Distilling Multipartite GHZ States With Bell Pairs

Bone, Sébastian de; Ouyang, Runsheng; Goodenough, Kenneth; Elkouss, David

doi:10.1109/tqe.2020.3044179

Cited by 32 publications

(17 citation statements)

References 41 publications

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“…As mentioned in Section 4.2, EPR pairs can be obtained from multipartite states through a proper sequence of local operations assisted by classical communications 19 . But the reverse process -namely, obtaining a multipartite state such as a GHZ by fusing multiple EPR pairs [48,49,50,51] is possible as well. Regardless the particulars of the generation process, entanglement must be distributed among the network nodes through quantum links.…”

Section: Entanglement Generation and Distributionmentioning

confidence: 99%

Quantum Internet Protocol Stack: a Comprehensive Survey

Illiano,

Caleffi,

Manzalini

et al. 2022

Preprint

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Classical Internet evolved exceptionally during the last five decades, from a network comprising a few static nodes in the early days to a leviathan interconnecting billions of devices. This has been possible by the separation of concern principle, for which the network functionalities are organized as a stack of layers, each providing some communication functionalities through specific network protocols. In this survey, we aim at highlighting the impossibility of adapting the classical Internet protocol stack to the Quantum Internet, due to the marvels of quantum mechanics. Indeed, the design of the Quantum Internet requires a major paradigm shift of the whole protocol stack for harnessing the peculiarities of quantum entanglement and quantum information. In this context, we first overview the relevant literature about Quantum Internet protocol stack. Then, stemming from this, we sheds the light on the open problems and required efforts toward the design of an effective and complete Quantum Internet protocol stack. To the best of authors' knowledge, a survey of this type is the first of its own. What emerges from this analysis is that the Quantum Internet, though still in its infancy, is a disruptive technology whose design requires an inter-disciplinary effort at the border between quantum physics, computer and telecommunications engineering.This work was partially supported by project xxx. Jessica Illiano acknowledges support from TIM S.p.A. through the PhD scholarship.

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Section: Entanglement Generation and Distributionmentioning

confidence: 99%

Quantum Internet Protocol Stack: a Comprehensive Survey

Illiano,

Caleffi,

Manzalini

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In addition to the physical implementation for entanglement sharing between nodes, a protocol for fault tolerance is required [5,14,54,56].…”

Section: Distributed Quantum Computingmentioning

confidence: 99%

Distributed Quantum Computing with QMPI

Häner,

Steiger,

Hoefler

et al. 2021

Preprint

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Practical applications of quantum computers require millions of physical qubits and it will be challenging for individual quantum processors to reach such qubit numbers. It is therefore timely to investigate the resource requirements of quantum algorithms in a distributed setting, where multiple quantum processors are interconnected by a coherent network. We introduce an extension of the Message Passing Interface (MPI) to enable high-performance implementations of distributed quantum algorithms. In turn, these implementations can be used for testing, debugging, and resource estimation. In addition to a prototype implementation of quantum MPI, we present a performance model for distributed quantum computing, SENDQ. The model is inspired by the classical LogP model, making it useful to inform algorithmic decisions when programming distributed quantum computers. Specifically, we consider several optimizations of two quantum algorithms for problems in physics and chemistry, and we detail their effects on performance in the SENDQ model.

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“…• There exists a quantum channel which distills the state into a fixed number of cat-k states which is given by 1 k HP k (A) = 1 α area(m k ) which is strictly less than area(m 2 ). The loss of entanglement can be viewed as the consumption of bell pairs using quantum teleportation to manufacture the necessary correlations [22]. In general a large number of bell pairs are needed for each additional cat-k produced beyond area(t k ) |ψ −→ |k is a codimension-1 Riemannian manifold.…”

Section: S(mentioning

confidence: 99%

Hyperthreads in holographic spacetimes

Harper

2021

J. High Energ. Phys.

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We generalize bit threads to hyperthreads in the context of holographic spacetimes. We define a “k-thread” to be a hyperthread which connects k different boundary regions and posit that it may be considered as a unit of k-party entanglement. Using this new object, we show that the contribution of hyperthreads to calculations of holographic entanglement entropy are generically finite. This is accomplished by constructing a surface whose area determines their maximum allowed contribution. We also identify surfaces whose area is proportional to the maximum number of k-threads, motivating a possible measure of multipartite entanglement. We use this to make connections to the current understanding of multipartite entanglement in holographic spacetimes.

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Protocols for Creating and Distilling Multipartite GHZ States With Bell Pairs

Cited by 32 publications

References 41 publications

Quantum Internet Protocol Stack: a Comprehensive Survey

Quantum Internet Protocol Stack: a Comprehensive Survey

Distributed Quantum Computing with QMPI

Hyperthreads in holographic spacetimes

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