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

Physica C Superconductivity

Inducing and detecting geometric phases with superconducting quantum circuits

Zhi‐Bo Feng, Run‐Ying Yan

Published Jul 1, 2013• 12 citations
Publisher
DOI
10.1016/j.physc.2013.06.011

Related papers

Detection of geometric phases in superconducting nanocircuits

G. Falci, Rosario Fazio, G. Massimo Palma +2 more

arXiv:cond-mat/0011040•Nature•Sep 1, 2000•375 citations

Detection of geometric phases in superconducting flux qubits

Zhihui Peng, Songlin Li, Songlin Li +1 more

Physica C Superconductivity•Apr 12, 2007•1 citation

Detecting non-Abelian geometric phases with superconducting nanocircuits

Zhi‐Bo Feng, Yuanmin Zhang, Guozhi Wang +1 more

Physica E Low-dimensional Systems and Nanostructures•Aug 16, 2009•8 citations

Detecting non-Abelian geometric phases with Josephson circuits

Run‐Ying Yan

A theoretical scheme is investigated to detect the noncommutative feature of non-Abelian geometric phases with superconducting Josephson circuits.The results show that,two degenerate dark states are generated in the considered system,and the geometric phases are naturally induced through adjusting external fluxes.By designing two composite evolutions and considering the population difference associated with the same quantum state,the noncommutative feature of the geometric phase can be shown directly. Further analyses on the feasibility and advantages indicate that the present scheme possesses the convenient operations and good quantum coherence.Thus the proposal provides an effective approach to experimentally study the noncommutative property of non-Abelian geometric phase.

Chinese Journal of Quantum Electronics•Jan 1, 2012•0 citations

Geometric Phase Gate Based on Both Displacement Operator and Squeezed Operators with a Superconducting Circuit Quantum Electrodynamics

Changyong Chen

We give the brief review on the related definition of the geometric phase independent of specific physical system based on the displacement opreator and the sqeezed operator, then show how the displacement operator and the squeezed operator can induce the general geometric phase. By means of the displacement operator and the squeezed operator concerning the circuit cavity mode state along a closed path in the phase space, we discuss specifically how to implement a two-qubit geometric phase gate in circuit quantum electrodynamics with both single photon interaction and two-photon interaction between the superconducting qubits and the circuit cavity modes. The experimental feasibility is discussed in detail.

Communications in Theoretical Physics•Jul 1, 2011•5 citations

Implementation of adiabatic geometric gates with superconducting phase qubits

Zhihui Peng, H F Chu, Z D Wang +1 more

We present an adiabatic geometric quantum computation strategy based on the non-degenerate energy eigenstates in (but not limited to) superconducting phase qubit systems. The fidelity of the designed quantum gate was evaluated in the presence of simulated thermal fluctuations in a superconducting phase qubits circuit and was found to be quite robust against random errors. In addition, it was elucidated that the Berry phase in the designed adiabatic evolution may be detected directly via the quantum state tomography developed for superconducting qubits. We also analyze the effects of control parameter fluctuations on the experimental detection of the Berry phase.

Journal of Physics Condensed Matter•Dec 19, 2008•9 citations
A theoretical scheme is investigated to detect the noncommutative feature of non-Abelian geometric phases with superconducting Josephson circuits.The results show that,two degenerate dark states are generated in the considered system,and the geometric phases are naturally induced through adjusting external fluxes.By designing two composite evolutions and considering the population difference associated with the same quantum state,the noncommutative feature of the geometric phase can be shown directly. Further analyses on the feasibility and advantages indicate that the present scheme possesses the convenient operations and good quantum coherence.Thus the proposal provides an effective approach to experimentally study the noncommutative property of non-Abelian geometric phase.
We give the brief review on the related definition of the geometric phase independent of specific physical system based on the displacement opreator and the sqeezed operator, then show how the displacement operator and the squeezed operator can induce the general geometric phase. By means of the displacement operator and the squeezed operator concerning the circuit cavity mode state along a closed path in the phase space, we discuss specifically how to implement a two-qubit geometric phase gate in circuit quantum electrodynamics with both single photon interaction and two-photon interaction between the superconducting qubits and the circuit cavity modes. The experimental feasibility is discussed in detail.
We present an adiabatic geometric quantum computation strategy based on the non-degenerate energy eigenstates in (but not limited to) superconducting phase qubit systems. The fidelity of the designed quantum gate was evaluated in the presence of simulated thermal fluctuations in a superconducting phase qubits circuit and was found to be quite robust against random errors. In addition, it was elucidated that the Berry phase in the designed adiabatic evolution may be detected directly via the quantum state tomography developed for superconducting qubits. We also analyze the effects of control parameter fluctuations on the experimental detection of the Berry phase.