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学者姓名：施志成
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We propose a robust and high-fidelity scheme for realizing universal quantum gates by optimizing short pulse sequences in a three-level system. To alleviate the sensitivity to the errors, we recombine all elements of error matrices to construct a cost function with three types of weight factors. The modulation parameters are obtained by searching for the minimum value of this cost function. The purposes of introducing the weight factors are to reduce the detrimental impact of high-order error matrices, suppress population leakage to the third state, correct the operational error in the qubit space, and optimize the total pulse area of short pulse sequences. The results demonstrate that the optimized sequences exhibit strong robustness against errors and effectively reduce the total pulse area. Therefore, this work presents a valuable method for achieving exceptional robustness and high speed in quantum computations.
Keyword ：
composite pulse composite pulse optimal control optimal control robust quantum control robust quantum control
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| GB/T 7714 | Zhang, Cheng , Liu, Yang , Song, Jie et al. High-fidelity quantum gates via optimizing short pulse sequences in three-level systems [J]. | NEW JOURNAL OF PHYSICS , 2024 , 26 (1) . |
| MLA | Zhang, Cheng et al. "High-fidelity quantum gates via optimizing short pulse sequences in three-level systems" . | NEW JOURNAL OF PHYSICS 26 . 1 (2024) . |
| APA | Zhang, Cheng , Liu, Yang , Song, Jie , Xia, Yan , Shi, Zhi-Cheng . High-fidelity quantum gates via optimizing short pulse sequences in three-level systems . | NEW JOURNAL OF PHYSICS , 2024 , 26 (1) . |
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We propose a protocol for robust quantum state engineering using composite pulses (CPs) in four-level systems. The analytical expression of the propagator is derived for the implementation of universal single-qubit gates and the maximum superposition state. By carefully designing the relative phases between pulses, the CP sequences can compensate for the pulse area error to any desired order. We present two classes of CP sequences, one generating robust population inversion and the other generating robust superposition states. As applications, we employ the well-designed CP sequences to achieve the conversion of the W and Greenberger-Horne-Zeilinger states with high fidelity in a Rydberg atomic system. It is shown that the CP sequences yield excellent robustness with respect to the pulse area errors, and they possess a short evolution time.
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| GB/T 7714 | Shi, Zhi-Cheng , Wang, Jian-Hui , Zhang, Cheng et al. Universal composite pulses for robust quantum state engineering in four-level systems [J]. | PHYSICAL REVIEW A , 2024 , 109 (2) . |
| MLA | Shi, Zhi-Cheng et al. "Universal composite pulses for robust quantum state engineering in four-level systems" . | PHYSICAL REVIEW A 109 . 2 (2024) . |
| APA | Shi, Zhi-Cheng , Wang, Jian-Hui , Zhang, Cheng , Song, Jie , Xia, Yan . Universal composite pulses for robust quantum state engineering in four-level systems . | PHYSICAL REVIEW A , 2024 , 109 (2) . |
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In this work, we develop a supervised learning model for implementing robust quantum control in composite-pulse systems, where the training parameters can be either phases, detunings, or Rabi frequencies. This model exhibits great resistance to all kinds of systematic errors, including single, multiple, and time-varying errors. We propose a modified gradient descent algorithm for adapting the training of phase parameters, and show that different sampling methods result in different robust performances. In particular, there is a trade-off between high fidelity and robustness for a given number of training parameters, and both can be simultaneously enhanced by increasing the number of training parameters (pulses). For its applications, we demonstrate that the current model can be used for achieving high-fidelity arbitrary superposition states and universal quantum gates in a robust manner. This work provides a highly efficient learning model for fault-tolerant quantum computation by training various physical parameters.
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| GB/T 7714 | Shi, Zhi-Cheng , Ding, Jun -Tong , Chen, Ye-Hong et al. Supervised learning for robust quantum control in composite-pulse systems [J]. | PHYSICAL REVIEW APPLIED , 2024 , 21 (4) . |
| MLA | Shi, Zhi-Cheng et al. "Supervised learning for robust quantum control in composite-pulse systems" . | PHYSICAL REVIEW APPLIED 21 . 4 (2024) . |
| APA | Shi, Zhi-Cheng , Ding, Jun -Tong , Chen, Ye-Hong , Ding, Jun-Tong , Song, Jie , Xia, Yan et al. Supervised learning for robust quantum control in composite-pulse systems . | PHYSICAL REVIEW APPLIED , 2024 , 21 (4) . |
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A protocol is proposed for generating three-particle Knill-Laflamme-Milburn (KLM) states in a system composed of two frequency-tunable flux qubits and a coplanar waveguide resonator. With the help of the counter-rotating interaction, the protocol for generating three-particle KLM states can be realized. The numerical results reveal that the protocol is robust against the effects induced by decoherence and frequency-tuning operations. It is hope that the protocol provides an alternative method to generate entangled states. The mixture of longitude and transverse coupling between qubits and resonators, i.e., a counter-rotating interaction, contains high-order nonlinear processes. Based on this interaction, this article explores an efficient protocol to generate multi-particle Knill-Laflamme-Milburn states in the system consisted of two flux qubits and a resonator. The numerical results reveal the effectiveness and robustness of the protocol. image
Keyword ：
circuit QED circuit QED counter-rotating interation counter-rotating interation Knill-Laflamme-Milburn states Knill-Laflamme-Milburn states Schrieffer-Wolff transformation Schrieffer-Wolff transformation
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| GB/T 7714 | Liu, Yang , Shi, Zhi-Cheng , Song, Jie et al. Generation of Multiparticle Knill-Laflamme-Milburn States in Circuit QED via Counter-Rotating Interactions [J]. | ADVANCED QUANTUM TECHNOLOGIES , 2024 , 7 (7) . |
| MLA | Liu, Yang et al. "Generation of Multiparticle Knill-Laflamme-Milburn States in Circuit QED via Counter-Rotating Interactions" . | ADVANCED QUANTUM TECHNOLOGIES 7 . 7 (2024) . |
| APA | Liu, Yang , Shi, Zhi-Cheng , Song, Jie , Chen, Ye-Hong , Xia, Yan . Generation of Multiparticle Knill-Laflamme-Milburn States in Circuit QED via Counter-Rotating Interactions . | ADVANCED QUANTUM TECHNOLOGIES , 2024 , 7 (7) . |
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In this work, we propose a comprehensive design for narrowband and passband composite pulse sequences by involving the dynamics of all states in the three -state system. The design is quite universal as all pulse parameters can be freely employed to modify the coefficients of error terms. Two modulation techniques, the strength and phase modulations, are used to achieve arbitrary population transfer with a desired excitation profile, while the system keeps minimal leakage to the third state. Furthermore, the current sequences are capable of tolerating inaccurate waveforms, detuning errors, and work well when rotating wave approximation is not strictly justified. Therefore, this work provides versatile adaptability for shaping various excitation profiles in both narrowband and passband sequences. (c) 2024 Optica Publishing Group under the terms of the Optica Open Access Publishing Agreement
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| GB/T 7714 | Zhang, Cheng , Shen, Li-tuo , Song, Jie et al. Three-state coherent control using narrowband and passband sequences [J]. | OPTICS EXPRESS , 2024 , 32 (2) : 1188-1206 . |
| MLA | Zhang, Cheng et al. "Three-state coherent control using narrowband and passband sequences" . | OPTICS EXPRESS 32 . 2 (2024) : 1188-1206 . |
| APA | Zhang, Cheng , Shen, Li-tuo , Song, Jie , Xia, Yan , Shi, Zhi-cheng . Three-state coherent control using narrowband and passband sequences . | OPTICS EXPRESS , 2024 , 32 (2) , 1188-1206 . |
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Abstract: Superradiant phase transition and entanglement entropy in the Dicke model with a squeezed light are investigated. We find a special rotation coordinate system mapping the original Hamiltonian into an effective dual-oscillator Hamiltonian in the thermodynamic limit. We analytically derive the eigenenergy and eigenstate of the ground state. The ground state is demonstrated to undergo superradiant phase transition at a nonlinear critical boundary collectively induced by the squeezed driving and qubit-field coupling. This phase boundary requires neither large qubit-field detuning nor strong squeezed driving. An exact expression of the ground-state entropy is obtained. We demonstrate that the squeezed light enhances the qubit-field entanglement entropy linearly. Graphical abstract: (Figure presented.) © The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024.
Keyword ：
Entropy Entropy Ground state Ground state Hamiltonians Hamiltonians Phase transitions Phase transitions Quantum entanglement Quantum entanglement Qubits Qubits
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| GB/T 7714 | Shen, Li-Tuo , Pei, Xuan-Tong , Shi, Zhi-Cheng et al. Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light [J]. | European Physical Journal D , 2024 , 78 (7) . |
| MLA | Shen, Li-Tuo et al. "Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light" . | European Physical Journal D 78 . 7 (2024) . |
| APA | Shen, Li-Tuo , Pei, Xuan-Tong , Shi, Zhi-Cheng , Yang, Zhen-Biao . Quantum phase transition and entanglement entropy in the Dicke model with a squeezed light . | European Physical Journal D , 2024 , 78 (7) . |
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Recently, a groundbreaking advancement known as multimode photon blockade (MPB) is proposed by S. Chakram et al. [Nature. Phys. 18, 879-884 (2022)], showcasing its ability to generate multimode W states. Inspired by their work, in this paper, an interesting method is proposed to investigate MPB by engineering the eigenstates of the system Hamiltonian, which is defined as the reverse design method. It is demonstrated that an entangled state is created with a certain probability by sharing a single photon between two coupled Kerr-nonlinear cavities. This entangled state in the two-coupled cavities blocks the creation of the subsequent photons. The system is in a superposition of only the entangled state and the vacuum state. And the photon blockade (PB) exists in two cavities simultaneously. The reversed design method can also be utilized to study MPB in three coupled cavities with Kerr nonlinearities by creating a three-qubit W state. This proposal introduces an interesting method to investigate multimode photon blockade by engineering the eigenstates of the system Hamiltonian, which is defined as the reverse design method. An entangled state is created with a certain probability by sharing a single photon between two coupled Kerr-nonlinear cavities. This entangled state in the two-coupled cavities blocks the creation of the subsequent photons. image
Keyword ：
nonclassical light nonclassical light photon blockade photon blockade photon statistics photon statistics
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| GB/T 7714 | Zhou, Yan-Hui , Liu, Tong , Zhang, Xing-Yuan et al. Multimode Photon Blockade with a Reversed Design Method [J]. | ADVANCED QUANTUM TECHNOLOGIES , 2024 , 7 (8) . |
| MLA | Zhou, Yan-Hui et al. "Multimode Photon Blockade with a Reversed Design Method" . | ADVANCED QUANTUM TECHNOLOGIES 7 . 8 (2024) . |
| APA | Zhou, Yan-Hui , Liu, Tong , Zhang, Xing-Yuan , Wu, Qi-Cheng , Chen, Dong-Xu , Shi, Zhi-Cheng et al. Multimode Photon Blockade with a Reversed Design Method . | ADVANCED QUANTUM TECHNOLOGIES , 2024 , 7 (8) . |
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We study the ground state of the two-qubit squeezed Rabi model. Two special transformations are found to diagonalize the system Hamiltonian when each qubit's frequency is close to the field frequency, where both the squeezing and counterrotating-wave interactions are removed, leading to an effective integrable Hamiltonian. The analytical ground state is determined and matches with numerical solutions well for a range of squeezing strengths and qubit-field detunings in the ultrastrong-coupling regime. We demonstrate that the ground state exhibits a firstorder quantum phase transition at a phase boundary linearly induced by the squeezed light. We characterize the two-qubit negativity analytically and find that its two-qubit entanglement increases with the increasing squeezing strength nonlinearly. The average photon numbers of the field mode and variances of position and momentum quadratures are also analyzed and discovered to have a nonlinear relation with the squeezing strength. Finally, we discuss the experimental scheme and realization possibility of the predicted results. (c) 2024 Optica Publishing Group
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| GB/T 7714 | Pei, Xuan-Tong , Shi, Zhi-Cheng , Shen, Li-Tuo et al. First-order quantum phase transition in the two-qubit squeezed Rabi model [J]. | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS , 2024 , 41 (6) : 1373-1380 . |
| MLA | Pei, Xuan-Tong et al. "First-order quantum phase transition in the two-qubit squeezed Rabi model" . | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS 41 . 6 (2024) : 1373-1380 . |
| APA | Pei, Xuan-Tong , Shi, Zhi-Cheng , Shen, Li-Tuo , Yang, Zhen-Biao . First-order quantum phase transition in the two-qubit squeezed Rabi model . | JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS , 2024 , 41 (6) , 1373-1380 . |
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A scheme is proposed for achieving robust population inversion in five-level systems by means of composite pulses. An example of such a system consists of the magnetic sublevels with angular momenta Jg=2$J_g=2$ and Je=2$J_e=2$. Through elaborately constructing the relative phases of pulse pairs, the composite sequences perform well in suppressing the uncorrelated pulse area errors. In particular, the five pulse-pair sequence possesses good robustness and a short evolution time. The composite sequences are further designed to compensate for a single type of pulse area errors to any desired order. This work provides a high-efficiency way for robust quantum state manipulation in five-level systems. This work is devoted to achieving robust population inversion in a five-level quantum system by means of composite pulses. The designed composite sequence can compensate the pulse area errors of the driving fields to any order. The results demonstrate that the proposed method is promising in error-prone environments, a superior technique for high-fidelity quantum computation in multilevel systems. image
Keyword ：
composite pulses composite pulses five-level systems five-level systems quantum state transfer quantum state transfer robust quantum control robust quantum control
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| GB/T 7714 | Wang, Jian-Hui , Shi, Zhi-Cheng , Chen, Ye-Hong et al. Robust Quantum State Manipulation by Composite Pulses in Five-Level Systems [J]. | ADVANCED QUANTUM TECHNOLOGIES , 2024 . |
| MLA | Wang, Jian-Hui et al. "Robust Quantum State Manipulation by Composite Pulses in Five-Level Systems" . | ADVANCED QUANTUM TECHNOLOGIES (2024) . |
| APA | Wang, Jian-Hui , Shi, Zhi-Cheng , Chen, Ye-Hong , Song, Jie , Huang, Bi-Hua , Xia, Yan . Robust Quantum State Manipulation by Composite Pulses in Five-Level Systems . | ADVANCED QUANTUM TECHNOLOGIES , 2024 . |
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Cat-state qubits formed by photonic cat states have a biased noise channel, i.e., one type of error dominates over all the others. We demonstrate that such biased-noise qubits are also promising for error-tolerant simulations of the quantum Rabi model (and its varieties) by coupling a cat-state qubit to an optical cavity. Using the cat-state qubit can effectively enhance the counterrotating coupling, allowing us to explore several fascinating quantum phenomena relying on the counterrotating interaction. Moreover, another benefit from biased-noise cat qubits is that the two main error channels (frequency and amplitude mismatches) are both exponentially suppressed. Therefore, the simulation protocols are robust against parameter errors of the parametric drive that determines the projection subspace. We analyze three examples: (i) collapse and revivals of quantum states; (ii) hidden symmetry and tunneling dynamics; and (iii) pair-cat-code computation. © 2024 American Physical Society.
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| GB/T 7714 | Chen, Y.-H. , Shi, Z.-C. , Nori, F. et al. Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model [J]. | Physical Review Letters , 2024 , 133 (3) . |
| MLA | Chen, Y.-H. et al. "Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model" . | Physical Review Letters 133 . 3 (2024) . |
| APA | Chen, Y.-H. , Shi, Z.-C. , Nori, F. , Xia, Y. . Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model . | Physical Review Letters , 2024 , 133 (3) . |
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