Polarization Toffoli gate assisted by multiple degrees of freedom

Dong, Li; Wang, Senlin; Cui, Cen; Geng, Xue; Li, Qingyang; Dong, Hai-Kuan; Xiu, Xiao‐Ming; Gao, Yunzhi

doi:10.1364/ol.43.004635

Cited by 23 publications

(12 citation statements)

References 63 publications

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“…(2) In Refs. 43,52 , they overlooked the affections of decoherence effect 8,9,[12][13][14]21 in controlled gates using XKNLs.…”

Section: Discussionmentioning

confidence: 99%

“…Quantum phenomena can produce various quantum information processing schemes, such as quantum communications [1][2][3][4] , quantum computation [5][6][7][8][9][10][11] , quantum controlled operations [12][13][14][15] , and quantum entanglement [16][17][18][19][20][21][22] , in theory and practice. And if these schemes are experimentally realized, the mitigation of the decoherence effect will be a pivotal issue for the reliable quantum information processing.…”

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confidence: 99%

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Encoding scheme using quantum dots for single logical qubit information onto four-photon decoherence-free states

Heo

Hong

Kang

et al. 2020

Sci Rep

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We designed an encoding scheme, using quantum dots (QDs), for single logical qubit information by encoding quantum information onto four-photon decoherence-free states to acquire immunity against collective decoherence. The designed scheme comprised of QDs, confined in single-sided cavities (QD-cavity systems), used for arbitrary quantum information, encoded onto four-photon decoherence-free states (logical qubits). For our scheme, which can generate the four-photon decoherence-free states, and can encode quantum information onto logical qubits, high efficiency and reliable performance of the interaction between the photons and QD-cavity systems is essential. Thus, through our analysis of the performance of QD-cavity systems under vacuum noise and sideband leakage, we demonstrate that the encoding scheme for single logical qubit information could be feasibly implemented.

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“…(2) In Refs. 43,52 , they overlooked the affections of decoherence effect 8,9,[12][13][14]21 in controlled gates using XKNLs.…”

Section: Discussionmentioning

confidence: 99%

mentioning

confidence: 99%

Encoding scheme using quantum dots for single logical qubit information onto four-photon decoherence-free states

Heo

Hong

Kang

et al. 2020

Sci Rep

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“…Taking the two‐photon controlled one‐photon unitary gate as an example, four paths and seven BSs for the target photon are necessary if just the spatial degree of freedom as an assistance is exploited . However, only two paths and four BSs are needed to complete the same task when the spatial, temporal, and polarization degrees of freedom are applied …”

Section: Discussion and Summarymentioning

confidence: 99%

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

et al. 2019

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In order to fulfill quantum information processing tasks such as quantum computation and scalable quantum networks, quantum logic gates are indispensable parts. A multiqubit logic gate can efficiently reduce the cost of physical resources and complicated operations that are necessary in the combination of fewer-qubit (e.g., two-qubit) logic gates to fulfill the same tasks. However, the construction of multiphoton quantum logic gates is a large challenge. Assisted by spatial and temporal degrees of freedom, a polarization multiphoton controlled one-photon unitary gate is proposed, which can be realized with three processes including the control-path process based on weak cross-Kerr nonlinearities, the unitary transformation process, and the output process. In the control-path process, the control-path modules are applied, where the entanglement between polarization, spatial and temporal degrees of freedom is generated by beam splitters, time delayers, and nonlinear interaction in cross-Kerr media. The scheme presented here, assisted by spatial and temporal degrees of freedom reduces the experimental complexity of the schemes assisted by only spatial degree of freedom. Moreover, it will also be a useful reference in optimally constructing multiqubit quantum logic gates with other multiple degrees of freedom in many physical systems.variety of physical systems in the theoretical aspect [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and experimental aspect. [21][22][23][24][25][26] Photons are the promising carriers of quantum information due to their advantages, fast propagation, low decoherence, ease to manipulate, etc. [27] However, owing to weak photon-photon interaction, quantum logic gates at the single-photon level had made slow progress. [22] The linear optics standard model proposed by Knill et al. [28] had changed this unclear situation, while its upper limitation of success probability is less than unity. [29] Furthermore, by using nonlinear optical interaction such as cross-Kerr interaction, the threshold on the success probability imposed by the linear optics standard model could be broken through. [30] Due to tiny strength of nonlinear interaction, the direct applications of cross-Kerr nonlinearities have not been easily realized. To achieve feasibility of deterministic quantum logic gates, weak cross-Kerr nonlinearities were applied first in the two-photon controllednot gate using an auxiliary photon, [31] which approaches the success probability nearly close to unity. After that, many construction schemes of twophoton logic gates based on weak cross-Kerr nonlinearities were proposed, for instance, the controlled-not gate with half unity success probability without an auxiliary photon, [32] the controllednot gate, [33] and the controlled-phase gate [34] with nearly unity success probability without the auxiliary photon, quantum logic gates [35] composed by control-path gate and merging gate. On the other hand, weak cross-Kerr nonlinearities were also used in the Bell states analys...

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“…Moreover, a four-qubit Toffoli gate was experimentally implemented with superconducting qubits [34]. On the other hand, theoretical proposals for realizing a Toffoli gate or MCP gate with photons have been presented by using linear optical setups [36][37][38][39][40] and linear optical devices plus auxiliary systems [41][42][43], and a three-qubit Toffoli gate of photons has been experimentally demonstrated in a linear-optical setup [44,45]. Quite different from , schemes have also been proposed to directly realize an n-qubit…”

Section: Introductionmentioning

confidence: 99%

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

Su¹,

Liang²,

Yang³

2022

Preprint

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We propose an efficient scheme to implement a multiplex-controlled phase gate with multiple photonic qubits simultaneously controlling one target photonic qubit based on circuit quantum electrodynamics (QED). For convenience, we denote this multiqubit gate as MCP gate. The gate is realized by using a two-level coupler to couple multiple cavities. The coupler here is a superconducting qubit. This scheme is simple because the gate implementation requires only one step of operation. In addition, this scheme is quite general because the two logic states of each photonic qubit can be encoded with a vacuum state and an arbitrary non-vacuum state |ϕ (e.g., a Fock state, a superposition of Fock states, a cat state, or a coherent state, etc.) which is orthogonal or quasi-orthogonal to the vacuum state. The scheme has some additional advantages: Because only two levels of the coupler are used, i.e., no auxiliary levels are utilized, decoherence from higher energy levels of the coupler is avoided; the gate operation time does not depend on the number of qubits; and the gate is implemented deterministically because no measurement is applied. As an example, we numerically analyze the circuit-QED based experimental feasibility of implementing a three-qubit MCP gate with photonic qubits each encoded via a vacuum state and a cat state.The scheme can be applied to accomplish the same task in a wide range of physical system, which consists of multiple microwave or optical cavities coupled to a two-level coupler such as a natural or artificial atom.

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Polarization Toffoli gate assisted by multiple degrees of freedom

Cited by 23 publications

References 63 publications

Encoding scheme using quantum dots for single logical qubit information onto four-photon decoherence-free states

Encoding scheme using quantum dots for single logical qubit information onto four-photon decoherence-free states

Construction of a Polarization Multiphoton Controlled One‐Photon Unitary Gate Assisted by the Spatial and Temporal Degrees of Freedom

Efficient scheme for realizing a multiplex-controlled phase gate with photonic qubits in circuit quantum electrodynamics

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