Resource-efficient analyzer of Bell and Greenberger-Horne-Zeilinger states of multiphoton systems

Li, Tao; Miranowicz, Adam; Xia, Keyu; Nori, Franco

doi:10.1103/physreva.100.052302

Cited by 28 publications

(19 citation statements)

References 117 publications

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“…Multiparticle entanglement has attracted great attention for its diverse applications in quantum metrology and quantum computing [1][2][3][4][5][6][7][8][9][10]. Efforts along this direction have lead to a plenty of proposals for generating entangled states with particles as many as possible [11][12][13], such as spin squeezing states [14][15][16] and GHZ states [17][18][19][20]. So far, multiparticle entanglement has been realized involving up to 20 qubits in trapped-ion systems [21], and 12 qubits in superconducting circuits [22].…”

Section: Introductionmentioning

confidence: 99%

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Qiao

Dong

et al. 2020

Phys. Rev. A

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Multiparticle entanglement is of great significance for quantum metrology and quantum information processing. We here present an efficient scheme to generate stable multiparticle entanglement in a solid state setup, where an array of silicon-vacancy centers are embedded in a quasi-onedimensional acoustic diamond waveguide. In this scheme, the continuum of phonon modes induces a controllable dissipative coupling among the SiV centers. We show that, by an appropriate choice of the distance between the SiV centers, the dipole-dipole interactions can be switched off due to destructive interferences, thus realizing a Dicke superradiance model. This gives rise to an entangled steady state of SiV centers with high fidelities. The protocol provides a feasible setup for the generation of multiparticle entanglement in a solid state system.

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Section: Introductionmentioning

confidence: 99%

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Qiao

Dong

et al. 2020

Phys. Rev. A

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“…They also showed that this result has potential applications ranging from optical quantum information processing to QND photon‐number measurements 57 . In addition, some attractive PPC gates based on other nonlinear optical elements have also been proposed, such as those involving quantum‐dot spins in optical microcavities 58‐61 . For example, in 2019, Li et al proposed an error‐rejecting entangled‐state analyzer for polarization‐encoded multiphoton systems based on two single‐photon quantum‐nondemolition detectors, which can be constructed with quantum dots coupled to micropillar cavities 61 .…”

Section: Discussion and Summarymentioning

confidence: 99%

“…In addition, some attractive PPC gates based on other nonlinear optical elements have also been proposed, such as those involving quantum‐dot spins in optical microcavities 58‐61 . For example, in 2019, Li et al proposed an error‐rejecting entangled‐state analyzer for polarization‐encoded multiphoton systems based on two single‐photon quantum‐nondemolition detectors, which can be constructed with quantum dots coupled to micropillar cavities 61 . Based on above works, the PPC gate used in our protocol may be experimentally realized in the future.…”

Section: Discussion and Summarymentioning

confidence: 99%

Logic W‐state concentration with parity check

Zhou

Liu

et al. 2021

Quantum Engineering

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Logic W state, which replaces each physical qubit in a W state with a Greenberger–Horne–Zeilinger state is robust against photon transmission loss in long‐distance quantum communication. In practical application, the environmental noise may make maximally entangled logic W state degrade to less entangled state, which largely limits its application. In this article, we propose an efficient entanglement concentration protocol (ECP) for logic W state, which can recover the less entangled logic W state into the maximally entangled logic W state. Our ECP relies on the nondemolition polarization parity check (PPC) gate constructed with cross‐Kerr nonlinearity. The distilled maximally entangled logic W state can be preserved for other application. Moreover, when the ECP fails, we can repeat the ECP to further concentrate the distilled less entangled logic W state. By repeating the ECP, the total success probability can be effectively increased. Based on above features, this ECP may be useful in quantum communication field.

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“…Next, we consider the distinguishment of N ‐qubit GHZ states. First of all, we define the N ‐qubit GHZ states as in 24]. For the N ‐qubit GHZ states, the simplest two are [ 16 ]

\begin{matrix} true \\ right false| {normalGHZ}_{00 \dots 0} false⟩ = \frac{1}{\sqrt{2}} {false({false| 0 false⟩}^{\otimes N} + {false| 1 false⟩}^{\otimes N} false)}_{12 \dots N} \\ right false| {normalGHZ}_{00 \dots 1} false⟩ = \frac{1}{\sqrt{2}} {false({false| 0 false⟩}^{\otimes N} - {false| 1 false⟩}^{\otimes N} false)}_{12 \dots N} \end{matrix}

in which the subscript of the N th qubit refers to the phase by the symbols ± (0 refers the phase +, while 1 refers the phase −).…”

Section: Complete Distinguishment Of Ghz Statesmentioning

confidence: 99%

Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

et al. 2021

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Since quantum entanglement plays a crucial role in quantum information processing, analyzing entangled states is indispensable for practical applications. Here a simple and direct protocol to distinguish arbitrary N‐qubit Greenberger–Horne–Zeilinger (GHZ) states by novel nonadiabatic noncyclic geometric quantum computation using Rydberg atoms is put forward. The Bell states can also be distinguished completely using this way. The protocol is justified by numerical simulation for Bell states and N‐qubit GHZ states, which evaluates the robustness and shows gratifying results. In addition, the idea is flexible, that is, available in any platform. Due to its simplicity and easy operation, the scheme would be very useful in quantum information science both theoretically and experimentally.

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Resource-efficient analyzer of Bell and Greenberger-Horne-Zeilinger states of multiphoton systems

Cited by 28 publications

References 117 publications

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Phononic-waveguide-assisted steady-state entanglement of silicon-vacancy centers

Logic W‐state concentration with parity check

Distinguishment of Greenberger–Horne–Zeilinger States in Rydberg Atoms via Noncyclic Geometric Quantum Computation

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