Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0403004 · Physical Review Letters

Geometric Quantum Computation and Multiqubit Entanglement with Superconducting Qubits inside a Cavity

Shi-Liang Zhu, Z. D. Wang, Paolo Zanardi A

Published Mar 18, 2005• 152 citations
arXivHTMLPDF

Abstract

We analyze a new scheme for quantum information processing, with superconducting charge qubits coupled through a cavity mode, in which quantum manipulations are insensitive to the state of the cavity. We illustrate how to physically implement universal quantum computation as well as multiqubit entanglement based on unconventional geometric phase shifts in this scalable solid-state system. Some quantum error-correcting codes can also be easily constructed using the same technique. In view of the gate dependence on just global geometric features and the insensitivity to the state of cavity modes, the proposed quantum operations may result in high-fidelity quantum information processing.

DOI
10.1103/physrevlett.94.100502

Related papers

Geometric quantum information processing with superconducting qubits inside a cavity

SL Zhu, Zhandong Wang

Devices based on superconducting-qubits coupled through a microwave cavity show certain promise for quantum information processing.The development of an experimentally feasible approach to achieve high fidelity operation in this scalable system is very important.We introduce here a feasible scheme that can implement a universal set of quantum gates and produce multiqubit entanglement as well as construct quantum error-correcting codes based on the same set of fault-tolerant geometric quantum operations.

•Jan 1, 2005•0 citations

Simple unconventional geometric scenario of one-way quantum computation with superconducting qubits inside a cavity

Zheng‐Yuan Xue, Z. D. Wang

We propose a simple unconventional geometric scenario to achieve a kind of nontrivial multiqubit operation with superconducting charge qubits placed in a microwave cavity. The proposed quantum operations are insensitive not only to the thermal state of the cavity mode but also to certain random operation errors, and thus may lead to high-fidelity quantum-information processing. By executing the designated quantum operations, a class of highly entangled cluster states may be generated efficiently in the present scalable solid-state system, enabling one to achieve one-way quantum computation.

arXiv:quant-ph/0703090•Physical Review A•Jun 21, 2007•76 citations

Unconventional Geometric Quantum Gate in Circuit QED

Zheng Xiao-Hu, Jun Dong, Yuwen Liu +2 more

We propose a scheme to implement an unconventional geometric phase gate in circuit QED, i.e. two superconducting charge qubits inside a superconducting transmission line resonator. The quantum operation depends only on global geometric features, and thus is insensitive to the state of the cavity mode.

Chinese Physics Letters•Jul 1, 2010•0 citations

Multi-target-qubit unconventional geometric phase gate in a multi-cavity system

Tong Liu, Xiao-Zhi Cao, Qi-Ping Su +2 more

Cavity-based large scale quantum information processing (QIP) may involve multiple cavities and require performing various quantum logic operations on qubits distributed in different cavities. Geometric-phase-based quantum computing has drawn much attention recently, which offers advantages against inaccuracies and local fluctuations. In addition, multiqubit gates are particularly appealing and play important roles in QIP. We here present a simple and efficient scheme for realizing a multi-target-qubit unconventional geometric phase gate in a multi-cavity system. This multiqubit phase gate has a common control qubit but different target qubits distributed in different cavities, which can be achieved using a single-step operation. The gate operation time is independent of the number of qubits and only two levels for each qubit are needed. This multiqubit gate is generic, e.g., by performing single-qubit operations, it can be converted into two types of significant multi-target-qubit phase gates useful in QIP. The proposal is quite general, which can be used to accomplish the same task for a general type of qubits such as atoms, NV centers, quantum dots, and superconducting qubits.

arXiv:1506.06044•Scientific Reports•Feb 22, 2016•24 citations

Quantum Gate Operations in Decoherence-Free Subspace with Superconducting Charge Qubits inside a Cavity

Wang Yi-min, Zhou Yan-Li, Lin-Mei Liang +1 more

We propose a feasible scheme to achieve universal quantum gate operations in decoherence-free subspace with superconducting charge qubits placed in a microwave cavity. Single-logic-qubit gates can be realized with cavity assisted interaction, which possesses the advantages of unconventional geometric gate operation. The two-logic-qubit controlled-phase gate between subsystems can be constructed with the help of a variable electrostatic transformer. The collective decoherence can be successfully avoided in our well-designed system. Moreover, GHZ state for logical qubits can also be easily produced in this system.

Chinese Physics Letters•Sep 29, 2009•8 citations

Microwave driven geometric quantum computation on semiconductor charge qubits

Chengxian Zhang, Tao Chen, Xin Wang +1 more

The charge qubit based on semiconductor double quantum dots is promising to realize fast and scalable quantum information processing. However, due to its strong coupling to charge noise, experimental realization of two-qubit gates has fidelities below 90%. Here, we provide a theoretical framework to achieve precise gate operations on a charge qubit using geometric quantum phase, namely geometric quantum gates. Single-qubit operations are implemented using the microwave-driven X-Y interacting Hamiltonian near certain sweet spots, where the charge noise is effectively suppressed. Meanwhile, we find that the performance of the geometric gates can be further improved up to 99.86% using composite pulses. In addition, to obtain a nontrivial two-qubit gate, we introduce a hybrid system which consists of charge qubits interacting with a high-impedance superconducting resonator. We find that when the individual charge qubit is in resonance with the resonator, it is possible to construct a SWAP-like gate with fidelity over 97%. Therefore, our results suggest that the geometric quantum gates in combination with the microwave-driven fields are powerful tools to achieve high-fidelity manipulation for the charge qubit.

•Apr 1, 2020•0 citations
We analyze a new scheme for quantum information processing, with superconducting charge qubits coupled through a cavity mode, in which quantum manipulations are insensitive to the state of the cavity. We illustrate how to physically implement universal quantum computation as well as multiqubit entanglement based on unconventional geometric phase shifts in this scalable solid-state system. Some quantum error-correcting codes can also be easily constructed using the same technique. In view of the gate dependence on just global geometric features and the insensitivity to the state of cavity modes, the proposed quantum operations may result in high-fidelity quantum information processing.
Devices based on superconducting-qubits coupled through a microwave cavity show certain promise for quantum information processing.The development of an experimentally feasible approach to achieve high fidelity operation in this scalable system is very important.We introduce here a feasible scheme that can implement a universal set of quantum gates and produce multiqubit entanglement as well as construct quantum error-correcting codes based on the same set of fault-tolerant geometric quantum operations.
We propose a simple unconventional geometric scenario to achieve a kind of nontrivial multiqubit operation with superconducting charge qubits placed in a microwave cavity. The proposed quantum operations are insensitive not only to the thermal state of the cavity mode but also to certain random operation errors, and thus may lead to high-fidelity quantum-information processing. By executing the designated quantum operations, a class of highly entangled cluster states may be generated efficiently in the present scalable solid-state system, enabling one to achieve one-way quantum computation.
Cavity-based large scale quantum information processing (QIP) may involve multiple cavities and require performing various quantum logic operations on qubits distributed in different cavities. Geometric-phase-based quantum computing has drawn much attention recently, which offers advantages against inaccuracies and local fluctuations. In addition, multiqubit gates are particularly appealing and play important roles in QIP. We here present a simple and efficient scheme for realizing a multi-target-qubit unconventional geometric phase gate in a multi-cavity system. This multiqubit phase gate has a common control qubit but different target qubits distributed in different cavities, which can be achieved using a single-step operation. The gate operation time is independent of the number of qubits and only two levels for each qubit are needed. This multiqubit gate is generic, e.g., by performing single-qubit operations, it can be converted into two types of significant multi-target-qubit phase gates useful in QIP. The proposal is quite general, which can be used to accomplish the same task for a general type of qubits such as atoms, NV centers, quantum dots, and superconducting qubits.
We propose a feasible scheme to achieve universal quantum gate operations in decoherence-free subspace with superconducting charge qubits placed in a microwave cavity. Single-logic-qubit gates can be realized with cavity assisted interaction, which possesses the advantages of unconventional geometric gate operation. The two-logic-qubit controlled-phase gate between subsystems can be constructed with the help of a variable electrostatic transformer. The collective decoherence can be successfully avoided in our well-designed system. Moreover, GHZ state for logical qubits can also be easily produced in this system.
The charge qubit based on semiconductor double quantum dots is promising to realize fast and scalable quantum information processing. However, due to its strong coupling to charge noise, experimental realization of two-qubit gates has fidelities below 90%. Here, we provide a theoretical framework to achieve precise gate operations on a charge qubit using geometric quantum phase, namely geometric quantum gates. Single-qubit operations are implemented using the microwave-driven X-Y interacting Hamiltonian near certain sweet spots, where the charge noise is effectively suppressed. Meanwhile, we find that the performance of the geometric gates can be further improved up to 99.86% using composite pulses. In addition, to obtain a nontrivial two-qubit gate, we introduce a hybrid system which consists of charge qubits interacting with a high-impedance superconducting resonator. We find that when the individual charge qubit is in resonance with the resonator, it is possible to construct a SWAP-like gate with fidelity over 97%. Therefore, our results suggest that the geometric quantum gates in combination with the microwave-driven fields are powerful tools to achieve high-fidelity manipulation for the charge qubit.