One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED

Fan, You-Ji; Zheng, Zhen-Fei; Dao-ming, LU; Yang, Chui‐Ping

doi:10.1007/s11467-018-0875-y

Cited by 25 publications

(14 citation statements)

References 67 publications

(79 reference statements)

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“…The quantum computation, due to the characteristic of coherent superposition of quantum states, has shown many advantages in speeding up the processing of certain complex problems, such as factoring large integers and searching unsorted databases [1][2][3][4][5]. In quantum computing, the realization of high-fidelity gates is necessary for fault-tolerant quantum computing.…”

Section: Introductionmentioning

confidence: 99%

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Liu¹,

Shen²,

Zheng³

et al. 2021

Preprint

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In this paper, we propose a scheme for implementing the nonadiabatic holonomic quantum computation (NHQC+) of two Rydberg atoms by using invariant-based reverse engineering (IBRE). The scheme is based on Förster resonance induced by strong dipole-dipole interaction between two Rydberg atoms, which provides a selective coupling mechanism to simply the dynamics of system. Moreover, for improving the fidelity of the scheme, the optimal control method is introduced to enhance the gate robustness against systematic errors. Numerical simulations show the scheme is robust against the random noise in control fields, the deviation of dipole-dipole interaction, the Förster defect, and the spontaneous emission of atoms. Therefore, the scheme may provide some useful perspectives for the realization of quantum computation with Rydberg atoms.

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Section: Introductionmentioning

confidence: 99%

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Liu¹,

Shen²,

Zheng³

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…In recent years, besides progress achieved with SPS qubits, considerable theoretical and experimental activity have also been shifted to QIP with coherent-state (CS) or cat-state (C-S) qubits. There exists a number of works for QIP using qubits encoded with coherent states [6,[8][9][10] or encoded with cat-state qubits [7,[11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Zhang

Yang

2021

Preprint

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We present a way to transfer maximally-or partially-entangled states of n single-photon-state (SPS) qubits onto n coherent-state (CS) qubits, by employing 2n microwave cavities coupled to a superconducting flux qutrit. The two logic states of a SPS qubit here are represented by the vacuum state and the single-photon state of a cavity, while the two logic states of a CS qubit are encoded with two coherent states of a cavity. Because of using only one superconducting qutrit as the coupler, the circuit architecture is significantly simplified. The operation time for the state transfer does not increase with the increasing of the number of qubits. When the dissipation of the system is negligible, the quantum state can be transferred in a deterministic way since no measurement is required. Furthermore, the higher-energy intermediate level of the coupler qutrit is not excited during the entire operation and thus decoherence from the qutrit is greatly suppressed.As a specific example, we numerically demonstrate that the high-fidelity transfer of a Bell state of two SPS qubits onto two CS qubits is achievable within the present-day circuit QED technology.Finally, it is worthy to note that when the dissipation is negligible, entangled states of n CS qubits can be transferred back onto n SPS qubits by performing reverse operations. This proposal is quite general and can be extended to accomplish the same task, by employing a natural or artificial atom to couple 2n microwave or optical cavities.

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“…The direct realization of a Toffoli gate of three physical qubits has been experimentally demonstrated in various physical systems [11][12][13]. In addition, based on cavity or circuit QED, many schemes have been presented for the direct realization of a multi-control-qubit gate [14][15][16][17][18][19][20][21][22] and a multi-target-qubit gate [23][24][25][26][27][28][29] with physical qubits.…”

Section: Introductionmentioning

confidence: 99%

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

Yang

Nori

2020

Phys. Rev. A

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In general, implementing a multi-logical-qubit gate by manipulating quantum states in a decoherence-free subspace (DFS) becomes more complex and difficult when increasing the number of logical qubits. In this work, we propose a novel idea to realize quantum gates by manipulating quantum states outside their DFS but having the states of the logical qubits remain in their DFS before and after the gate operation. This proposal has the following features: (i) Because the states are manipulated outside the DFS, the multi-qubit gate implementation can be simplified when compared to realizing a multiqubit gate via manipulating quantum states within the DFS, which usually requires unitary operations over a large DFS; and (ii) Because the states of the logical qubits return to the DFS after the gate operation, the errors caused by decoherence during the gate operation are not accumulated for a long-running calculation, and the states of the logical qubits are immune to decoherence when they are stored. Based on this proposal, we then present a way for realizing a multi-target-qubit controlled NOT gate using logical qubits encoded in a decoherence-free subspace (DFS) against collective dephasing. This gate is realized by employing qutrits (three-level quantum systems) placed in a cavity or coupled to a resonator. This proposal has the following advantages: (i) The states of the logical qubits return to their DFS after the gate operation; (ii) The gate can be implemented with only a few basic operations; (iii) The gate operation time is independent of the number of logical qubits; (iv) This gate can be deterministically implemented because no measurement is needed; (v) The intermediate higher-energy level for all qutrits is not occupied during the entire operation, thus decoherence from this level is greatly suppressed; and (vi) This proposal is universal and can be applied to realize the proposed gate using natural atoms or artificial atoms (e.g., quantum dots, NV centers, and various superconducting qutrits, etc.) placed in a cavity or coupled to a resonator. As an application, we also show how to apply this gate to create a Greenberger-Horne-Zeilinger (GHZ) entangled state of multiple logical qubits encoded in DFS, and further investigate the experimental feasibility for creating the GHZ state of three logical qubits in the DFS, by using six superconducting transmon qutrits coupled to a one-dimensional coplanar waveguide resonator.

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One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED

Cited by 25 publications

References 67 publications

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Optimized nonadiabatic holonomic quantum computation based on Förster resonance in Rydberg atoms

Transferring quantum entangled states between multiple single-photon-state qubits and coherent-state qubits in circuit QED

Implementing a multi-target-qubit controlled-not gate with logical qubits outside a decoherence-free subspace and its application in creating quantum entangled states

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