Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0901.0161 · Physical Review A

Generation of Greenberger-Horne-Zeilinger and W states for stationary qubits in a spin network via resonance scattering

L. Jin, Z. Song

Published Apr 29, 2009• 16 citations
arXivHTMLPDF

Abstract

We propose a simple scheme to establish entanglement among stationary qubits based on the mechanism of resonance scattering between them and a single-spin-flip wave packet in designed spin network. It is found that through the natural dynamical evolution of an incident single-spin-flip wave packet in a spin network and the subsequent measurement of the output single-spin-flip wave packet, multipartite entangled states among $n$ stationary qubits, Greenberger-Horne-Zeilinger (GHZ), and $W$ states can be generated with success probabilities ${P}_{\text{GHZ}}=2/{|1+{t}^{\ensuremath{-}n}|}^{2}$ and ${P}_{W}={|t|}^{2}/n$, respectively, where $t$ is the transmission amplitude of the near-resonance scattering.

DOI
10.1103/physreva.79.042341

Related papers

Multipartite quantum entanglement creation for distant stationary systems

Tao Li, Zhenkai Wang, Keyu Xia

We present efficient protocols for creating multipartite Greenberger-Horne-Zeilinger (GHZ) and W states of distant stationary qubits. The system nonuniformity and/or the non-ideal single-photon scattering usually limit the performance of entanglement creation, and result in the decrease of the fidelity and the efficiency in practical quantum information processing. By using linear optical elements, errors caused by the system nonuniformity and non-ideal photon scattering can be converted into heralded loss in our protocols. Thus, the fidelity of generated multipartite entangled states keeps unchanged and only the efficiency decreases. The GHZ state of distant stationary qubits is created in a parallel way that its generation efficiency considerably increases. In the protocol for creating the W state of N distant stationary qubits, an input single photon is prepared in a superposition state and sent into N paths parallelly. We use the two-spatial-mode interferences to eliminate the "which path" single-photon scattering "knowledge". As a result, the efficiency of creating the N-qubit W state is independent of the number of stationary qubits rather than exponentially decreases.

Optics Express•Dec 26, 2019•29 citations

Physical model for the generation of ideal resources in multipartite quantum networking

Francesco Ciccarello, Mauro Paternostro, Sougato Bose +3 more

We propose a physical model for generating multipartite entangled states of spin-$s$ particles that have important applications in distributed quantum information processing. Our protocol is based on a process where mobile spins induce the interaction among remote scattering centers. As such, a major advantage lies in the management of stationary and well-separated spins. Among the generable states, there is a class of $N$-qubit singlets allowing for optimal quantum telecloning in a scalable and controllable way. We also show how to prepare Aharonov, $W$, and Greenberger-Horne-Zeilinger states.

arXiv:1003.2171•Physical Review A•Sep 27, 2010•14 citations

Quantum entanglement creation based on quantum scattering in one-dimensional waveguides

Guo‐Zhu Song, Ming‐Jie Tao, Jing Qiu +1 more

We propose two heralded schemes for generating multipartite Greenberger-Horne-Zeilinger (GHZ) and W states. They are realized by photon scattering in one-dimensional waveguides, and the qubits are encoded in the degenerate ground states of the quantum emitters. In our schemes, errors caused by the system imperfections and faulty photon scattering can be turned into detectable photon loss, which is advantageous for quantum information science. That is, our schemes for creating GHZ and W states work in a heralded way. Moreover, the generation of the two entangled states can be theoretically generalized to many-qubit cases in a straightforward way. Our calculations show that both the success probabilities and fidelities of our two schemes are high with current technique on manipulating quantum dots in slow-light photonic crystal waveguides.

Physical Review A•Sep 13, 2022•25 citations

High Fidelity Greenberger–Horne–Zeilinger and W State Generation using Resonator-Qubit-Resonator Tripartite System

Abhishek Mandal, Joy Ghosh, Maruthi M. Brundavanam +1 more

The generation of multipartite entangled states is fundamental tool for a wide range of quantum information processing tasks, including teleportation, superdense coding, and quantum key distributions. This work demonstrates a scheme for high-fidelity Greenberger–Horne–Zeilinger (GHZ) and W states in a weakly coupled resonator- qubit-resonator system by exploiting quantum destructive interference and strategically suppresses higher-order transition pathways in the joint photonic Fock space to enable controlled and efficient tripartite entanglement.

JSAP-OSA Joint Symposia•Jan 1, 2025•0 citations

Generation and Control of Greenberger-Horne-Zeilinger Entanglement in Superconducting Circuits

L. F. Wei, Yu-xi Liu, Franco Nori

Going beyond the entanglement of microscopic objects (such as photons, spins, and ions), here we propose an efficient approach to produce and control the quantum entanglement of three macroscopic coupled superconducting qubits. By conditionally rotating, one by one, selected Josephson-charge qubits, we show that their Greenberger-Horne-Zeilinger (GHZ) entangled states can be deterministically generated. The existence of GHZ correlations between these qubits could be experimentally demonstrated by effective single-qubit operations followed by high-fidelity single-shot readouts. The possibility of using the prepared GHZ correlations to test the macroscopic conflict between the noncommutativity of quantum mechanics and the commutativity of classical physics is also discussed.

arXiv:quant-ph/0510169•Physical Review Letters•Jun 21, 2006•121 citations

Entanglement generation via a completely mixed nuclear spin bath

H. Christ, J. I. Cirac, G. Giedke

We show that qubits coupled sequentially to a mesoscopic static completely mixed spin bath via the Heisenberg interaction can become highly entangled. Straightforward protocols for the generation of multipartite entangled Greenberger-Horne-Zeilinger (GHZ) states are presented. We show the feasibility of an experimental realization in a quantum dot by the hyperfine interaction of an electron with the nuclear spins.

arXiv:0710.4120•Physical Review B•Sep 12, 2008•18 citations
We propose a simple scheme to establish entanglement among stationary qubits based on the mechanism of resonance scattering between them and a single-spin-flip wave packet in designed spin network. It is found that through the natural dynamical evolution of an incident single-spin-flip wave packet in a spin network and the subsequent measurement of the output single-spin-flip wave packet, multipartite entangled states among nnn stationary qubits, Greenberger-Horne-Zeilinger (GHZ), and WWW states can be generated with success probabilities PGHZ=2/∣1+t\ensuremath−n∣2{P}_{\text{GHZ}}=2/{|1+{t}^{\ensuremath{-}n}|}^{2}PGHZ​=2/∣1+t\ensuremath−n∣2 and PW=∣t∣2/n{P}_{W}={|t|}^{2}/nPW​=∣t∣2/n, respectively, where ttt is the transmission amplitude of the near-resonance scattering.
We present efficient protocols for creating multipartite Greenberger-Horne-Zeilinger (GHZ) and W states of distant stationary qubits. The system nonuniformity and/or the non-ideal single-photon scattering usually limit the performance of entanglement creation, and result in the decrease of the fidelity and the efficiency in practical quantum information processing. By using linear optical elements, errors caused by the system nonuniformity and non-ideal photon scattering can be converted into heralded loss in our protocols. Thus, the fidelity of generated multipartite entangled states keeps unchanged and only the efficiency decreases. The GHZ state of distant stationary qubits is created in a parallel way that its generation efficiency considerably increases. In the protocol for creating the W state of N distant stationary qubits, an input single photon is prepared in a superposition state and sent into N paths parallelly. We use the two-spatial-mode interferences to eliminate the "which path" single-photon scattering "knowledge". As a result, the efficiency of creating the N-qubit W state is independent of the number of stationary qubits rather than exponentially decreases.
We propose a physical model for generating multipartite entangled states of spin-sss particles that have important applications in distributed quantum information processing. Our protocol is based on a process where mobile spins induce the interaction among remote scattering centers. As such, a major advantage lies in the management of stationary and well-separated spins. Among the generable states, there is a class of NNN-qubit singlets allowing for optimal quantum telecloning in a scalable and controllable way. We also show how to prepare Aharonov, WWW, and Greenberger-Horne-Zeilinger states.
We propose two heralded schemes for generating multipartite Greenberger-Horne-Zeilinger (GHZ) and W states. They are realized by photon scattering in one-dimensional waveguides, and the qubits are encoded in the degenerate ground states of the quantum emitters. In our schemes, errors caused by the system imperfections and faulty photon scattering can be turned into detectable photon loss, which is advantageous for quantum information science. That is, our schemes for creating GHZ and W states work in a heralded way. Moreover, the generation of the two entangled states can be theoretically generalized to many-qubit cases in a straightforward way. Our calculations show that both the success probabilities and fidelities of our two schemes are high with current technique on manipulating quantum dots in slow-light photonic crystal waveguides.
The generation of multipartite entangled states is fundamental tool for a wide range of quantum information processing tasks, including teleportation, superdense coding, and quantum key distributions. This work demonstrates a scheme for high-fidelity Greenberger–Horne–Zeilinger (GHZ) and W states in a weakly coupled resonator- qubit-resonator system by exploiting quantum destructive interference and strategically suppresses higher-order transition pathways in the joint photonic Fock space to enable controlled and efficient tripartite entanglement.
Going beyond the entanglement of microscopic objects (such as photons, spins, and ions), here we propose an efficient approach to produce and control the quantum entanglement of three macroscopic coupled superconducting qubits. By conditionally rotating, one by one, selected Josephson-charge qubits, we show that their Greenberger-Horne-Zeilinger (GHZ) entangled states can be deterministically generated. The existence of GHZ correlations between these qubits could be experimentally demonstrated by effective single-qubit operations followed by high-fidelity single-shot readouts. The possibility of using the prepared GHZ correlations to test the macroscopic conflict between the noncommutativity of quantum mechanics and the commutativity of classical physics is also discussed.