Cut-resistant links and multipartite entanglement resistant to particle loss

Quinta, Gonçalo M.; André, Rui; Burchardt, Adam; Życzkowski, Karol

doi:10.1103/physreva.100.062329

Cited by 13 publications

(10 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Interestingly, it turns out that the Borromean states emerging in our model need to exhibit Greenberger-Horne-Zeilinger (GHZ) [16] type of entanglement between the internal degrees of freedom of the particles. Such entanglement is genuinely multipartite and is very sensitive to particle losses, which can be considered a Borromean property [17,18]. This showcases an intuitive link between the properties of particles' correlations and their dynamics.…”

Section: Introductionmentioning

confidence: 88%

Borromean states in discrete-time quantum walks

Markiewicz

Karczewski

Kurzyński

2021

Quantum

View full text Add to dashboard Cite

In the right conditions, removing one particle from a multipartite bound state can make it fall apart. This feature, known as the "Borromean property", has been recently demonstrated experimentally in Efimov states. One could expect that such peculiar behavior should be linked with the presence of strong inter-particle correlations. However, any exploration of this connection is hindered by the complexity of the physical systems exhibiting the Borromean property. To overcome this problem, we introduce a simple dynamical toy model based on a discrete-time quantum walk of many interacting particles. We show that the particles described by it need to exhibit the Greenberger-Horne-Zeillinger (GHZ) entanglement to form Borromean bound states. As this type of entanglement is very prone to particle losses, our work demonstrates an intuitive link between correlations and Borromean properties of the system. Moreover, we discuss our findings in the context of the formation of composite particles.

show abstract

Section: Introductionmentioning

confidence: 88%

Borromean states in discrete-time quantum walks

Markiewicz

Karczewski

Kurzyński

2021

Quantum

View full text Add to dashboard Cite

show abstract

“…The output state is given by ρ out = E S (ρ in ) with ρ in the input state. It is marvelous that some quantum states like Dicke the states keep entangled after passing through the particle-lose channel [16][17][18][19]. This inspires a natural problem of characterizing the multipartite quantum systems in term of particle-lose channels.…”

Section: Introductionmentioning

confidence: 99%

“…party-lose noises in which all the local particles shared by one party are taken as one unavailable high-dimensional particle or quantum sources. Different from the permutationally symmetric states [16][17][18][19], these entangled systems depend on network configurations, which gives rise to an interesting problem in characterizing distributed quantum resources for distributed quantum information processing.…”

Section: Introductionmentioning

confidence: 99%

Robust Multipartite Entanglement Without Entanglement Breaking

Luo¹,

Fei²

2021

Preprint

View full text Add to dashboard Cite

Entangled systems in experiments may be lost or offline in distributed quantum information processing. This inspires a general problem to characterize quantum operations which result in breaking of entanglement or not. Our goal in this work is to solve this problem both in single entanglement and network scenarios. We firstly propose a local model for characterizing all entangled states that are breaking for losing particles. This implies a simple criterion for witnessing single entanglement such as generalized GHZ states and Dicke states. It further provides an efficient witness for characterizing entangled quantum networks depending mainly on the connectivity of network configurations such as k-independent quantum networks, completely connected quantum networks, and k-connected quantum networks. These networks are universal resources for measurement-based quantum computations. The strong nonlocality can be finally verified by using nonlinear inequalities. These results show distinctive features of both single entangled systems and entangled quantum networks.

show abstract

“…It is indicated that many physical implementations of qubits, for example ion traps, optical lattices and linear optics, suffer from loss of qubits [3]. The entanglement resistant to particles loss via tracing out the particles was investigated [4].…”

Section: Introductionmentioning

confidence: 99%

Reducing the detection of genuine entanglement of n qubits to two qubits

Li¹

2021

Preprint

View full text Add to dashboard Cite

We propose a criterion for the detection of genuine entanglement of pure multiqubit states. To this aim, we define an operator called the losing one qubit operator, which is different from the reduced density operator. The states obtained from a multiqubit state by applying the losing one qubit operator are referred to as its projected states. We show that all of the projected states of a pure product n-qubit state are pure product states provided that it cannot be written as a product of a single qubit state and a genuinely entangled (n-1)-qubit state. We also show that a pure n-qubit state is genuinely entangled provided that the state has at least two genuinely entangled (n-1)-qubit projected states. By repeating the losing process, we reduce the detection of entanglement of pure n-qubit states to the one of pure two-qubit states. Also we write a LISP program for the reduction process.

show abstract

Cut-resistant links and multipartite entanglement resistant to particle loss

Cited by 13 publications

References 50 publications

Borromean states in discrete-time quantum walks

Borromean states in discrete-time quantum walks

Robust Multipartite Entanglement Without Entanglement Breaking

Reducing the detection of genuine entanglement of n qubits to two qubits

Contact Info

Product

Resources

About