Efficient hyperentanglement purification for three-photon systems with the fidelity-robust quantum gates and hyperentanglement link

Du, Fangfang; Liu, Yong-Ting; Shi, Zhenrong; Liang, Yuxi; Tang, Jun; Liu, Jun

doi:10.1364/oe.27.027046

Cited by 38 publications

(16 citation statements)

References 47 publications

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“…After the first purification step, the parties share a new mixed state with the form of ρ f ail1 in Eq. (36). Then, when the second purification step fails, they can finally obtain a new mixed state as…”

Section: Discussionmentioning

confidence: 99%

High-efficient two-step entanglement purification using hyperentanglement

Zhou¹,

Sheng²

2021

Preprint

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Entanglement purification is a powerful method to distill the high-quality entanglement from low-quality entanglement. In the paper, we propose an efficient two-step entanglement purification protocol (EPP) for the polarization entanglement by using only one copy of two-photon hyperentangled state in polarization, spatial-mode, and time-bin DOFs. We suppose that the entanglement in all DOFs suffer from channel noise. In two purification steps, the parties can reduce the bitflip error and phase-flip error in polarization DOF by consuming the imperfect entanglement in the spatial-mode and time-bin DOFs, respectively. This EPP effectively reduces the consumption of entanglement pairs and the experimental difficulty. Moreover, if consider the practical photon transmission and detector efficiencies, our EPP has much higher purification efficiency than previous recurrence EPPs. Meanwhile, when one or two purification steps fail, the distilled mixed state may have residual entanglement. Taking use of the residual entanglement, the parties may still distill higher-quality polarization entanglement. Even if not, they can still reuse the residual entanglement in the next purification round. The existence of residual entanglement benefits for increasing the yield of the EPP. All the above advantages make our EPP have potential application in future quantum information processing.

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Section: Discussionmentioning

confidence: 99%

High-efficient two-step entanglement purification using hyperentanglement

Zhou¹,

Sheng²

2021

Preprint

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“…The evolution of quantum computing [1] and quantum communication [2][3][4][5][6][7][8] is inseparable from the construction and improvement of the basic framework, where the logical qubit gate is one of the primary modules. [9] By far, plentiful and various logical gates have been presented with diverse systems, such as linear optics, [10][11][12][13][14][15][16] quantum dots (QDs), [17][18][19][20][21] cavity-atom systems, [22][23][24][25][26] cross-Kerr nonlinearity, [27] ion trap, [28] nitrogenvacancy center, [29][30][31] and superconducting circuit.…”

Section: Introductionmentioning

confidence: 99%

Refined Quantum Gates for Λ‐Type Atom‐Photon Hybrid Systems

Fan

2023

Adv Quantum Tech

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High‐efficiency quantum information processing is equivalent to the fewest quantum resources and simplest operations by means of logic qubit gates. Based on the reflection geometry of a single photon interacting with a three‐level Λ‐type atom‐cavity system, the authors present some refined protocols for realizing controlled‐not (CNOT), Fredkin, and Toffoli gates on hybrid systems. The first control qubit of gates is encoded on a flying photon, and the remaining qubits are encoded on the atoms in the optical cavity. Moreover, these quantum gates can be extended to the optimal synthesis of multi‐qubit CNOT, Fredkin, and Toffoli gates with optical elements without auxiliary photons or atoms. Further, the simplest single‐qubit operations are applied to the photon only, which make these logic gates experimentally feasible with current technology.

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“…Quantum computation, so far, plays an imperative function in quantum information processing (QIP) and facilitates the solution of intractable problems in many fields. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] Quantum logic gates, as fundamental components of complicated quantum circuits, are essential for quantum computation. [16][17][18][19][20] It is extensively proven that any quantum computing process can be completed via some elementary single-qubit operations and two-qubit entangled gates, e.g., controlled-NOT (CNOT) gate.…”

Section: Introductionmentioning

confidence: 99%

Deterministic Hyperparallel Control Gates with Weak Kerr Effects

Du,

Fan,

Ren

et al. 2023

Adv Quantum Tech

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By harnessing weak cross‐Kerr nonlinearities, it proposes two deterministic hyperparallel quantum control gates, including the hyperparallel controlled‐NOT (hyper‐CNOT) gate and hyperparallel Fredkin (hyper‐Fredkin) gate for photonic systems in the polarization and spatial degrees of freedom (DoFs), which are composed of two procedures for the implementations of the first polarized control (CNOT and Fredkin) gates and the second spatial control (CNOT and Fredkin) ones in turn. Moreover, compared with the two two‐photon CNOT gates (three‐photon Fredkin gates) in one DoF, the hyper‐CNOT (hyper‐Fredkin) gate is provided with more straightforward quantum circuits, lower computational costs of resource overhead (without the assistance of single photons or entangled states), less cross‐Kerr nonlinear interactions between three photons and the coherent states, and reduces the effect caused by photon‐loss noise. The success probabilities of two quantum control gates are approximated unit by performing the corresponding classical feed‐forward operations based on the different measuring outcomes of the X‐homodyne detectors to be aimed at the coherent states, and they are robust against the photon loss as well, which are feasible with the current technology and convenient in practical applications.

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Efficient hyperentanglement purification for three-photon systems with the fidelity-robust quantum gates and hyperentanglement link

Cited by 38 publications

References 47 publications

High-efficient two-step entanglement purification using hyperentanglement

High-efficient two-step entanglement purification using hyperentanglement

Refined Quantum Gates for Λ‐Type Atom‐Photon Hybrid Systems

Deterministic Hyperparallel Control Gates with Weak Kerr Effects

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