Heralded Universal Quantum Gate and Entangler Assisted by Imperfect Double‐Sided Quantum‐Dot‐Microcavity Systems

Wei, Hai‐Rui; Chen, Ning-Yang; Liu, Jizhen

doi:10.1002/andp.201800071

Cited by 14 publications

(5 citation statements)

References 99 publications

(107 reference statements)

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“…A measurement-based optical CNOT gate was demonstrated [27] in 2007. Moreover, parallel and hyperparallel deterministic optical CNOT gates prepared from photonmatter emitters have been proposed in recent years [28][29][30][31] and cross-Kerr approaches [32]. Fig.…”

Section: Photonic Architecture Of the Fredkin Gatementioning

confidence: 99%

Optimal synthesis of the Fredkin gate in a multilevel system

Liu

Wei

2020

New J. Phys.

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The optimal cost of a three-qubit Fredkin gate is 5 two-qubit entangling gates, and the overhead climbs to 8 when restricted to controlled-not (CNOT) gates. By harnessing higher-dimensional Hilbert spaces, we reduce the cost of a threequbit Fredkin gate from 8 CNOTs to 5 nearest-neighbor CNOTs. We also present construction of an n-control-qubit Fredkin gate with 2n + 3 CNOTs and 2n singlequdit operations. Finally, we design deterministic and nondeterministic three-qubit Fredkin gates in photonic architectures. The cost of a nondeterministic three-qubit Fredkin gate is further reduced to 4 nearest-neighbor CNOTs, and the success of such a gate is heralded by a single-photon detector. Our insights bridge the gap between the theoretical lower bound and the current best result for the n-qubit quantum computation.

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Section: Photonic Architecture Of the Fredkin Gatementioning

confidence: 99%

Optimal synthesis of the Fredkin gate in a multilevel system

Liu

Wei

2020

New J. Phys.

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“…[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. [21] Recently, extensive attention has been raised to realize universal quantum logic gates with instinctive systems mainly including linear optics, [22][23][24][25][26] quantum dots, [27][28][29][30][31][32] superconducting circuits, [33] nitrogen vacancy centers [34][35][36][37] waveguide systems, [38][39][40][41] and neutral atoms. [42,43] However, efficiently implementing multi-qubit DOI: 10.1002/qute.202300201 quantum logic gates presents a major obstacle in practical large-scale integration.…”

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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“…Compared with the schemes for quantum gates based on giant Faraday rotations, [106][107][108][109] our protocols for quantum gates with waveguide systems have some new features. First, in our schemes, the strong coupling between individual emitters and waveguide modes is broadband, which arises purely from the existence of the continuous modes.…”

mentioning

confidence: 99%

Implementations of Heralded Solid‐State SWAP and SWAP$\sqrt {SWAP}$ Gates through Waveguide‐Assisted Interactions

et al. 2021

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Some heralded schemes are presented for realizing solid-state quantum gates, including SWAP and √ SWAP gates. They are achieved by emitter-photon scattering in 1D waveguides, and the qubits are encoded on the degenerate ground states of the solid-state emitters. The schemes for these two quantum gates feature a filtering mechanism that the faulty scattering events between quantum emitters and photons can be mapped into the heralded photon losses. That is, the protocols can turn physical errors caused by system imperfections into the detection of photon polarization, which is advantageous for quantum information and quantum computation. Furthermore, no auxiliary solid-state qubits are needed in our schemes, which reduces not only quantum resource but also error. The calculations reveal that the success probabilities and fidelities of the two quantum gates are high with current experimental technologies.

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Heralded Universal Quantum Gate and Entangler Assisted by Imperfect Double‐Sided Quantum‐Dot‐Microcavity Systems

Cited by 14 publications

References 99 publications

Optimal synthesis of the Fredkin gate in a multilevel system

Optimal synthesis of the Fredkin gate in a multilevel system

Deterministic Hyperparallel Control Gates with Weak Kerr Effects

Implementations of Heralded Solid‐State SWAP and SWAP$\sqrt {SWAP}$ Gates through Waveguide‐Assisted Interactions

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