Geometric quantum gates with superconducting qubits

2011/04/01 by I. Kamleitner, P. Solinas, Paolo Solinas +6 · 29 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Adiabatic process #Classical mechanics #Combinatorics #Computer science #Hamiltonian (control theory) #Mathematics #Mechanical and Optical Resonators #Photonic and Optical Devices #Physics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Qubit #Set (abstract data type) #Superconducting quantum computing #Superconductivity #Theoretical physics #Topology (electrical circuits) #Tripod (photography) #Universal set #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physrevb.83.214518

published in Physical Review B 83(21) (American Physical Society) · 7 pages, 5 figures

arxiv created 2011/04/01 · openalex publication_date 2011/06/15 · arxiv updated 2011/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We suggest a scheme to implement a universal set of non-Abelian geometric transformations for a single logical qubit composed of three superconducting qubits coupled to a single cavity. The scheme utilizes an adiabatic evolution in a rotating frame induced by the effective tripod Hamiltonian which is achieved by longitudinal driving of the qubits. The proposal is experimentally feasible with the current state of the art and could serve as a first proof of principle for geometric quantum computing.

Citations

• Charge insensitive qubit design derived from the Cooper pair box
• Experimental Determination of the Berry Phase in a Superconducting Charge Pump
• Non-Abelian geometric phases in ground-state Josephson devices
• Dressed Collective Qubit States and the Tavis-Cummings Model in Circuit QED
• Appearance of Gauge Structure in Simple Dynamical Systems
• Observation of Berry's Phase in a Solid-State Qubit
• Quantum-state engineering with Josephson-junction devices
• Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
• Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics

Cited by

• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• Entanglement Generation in Superconducting Qubits Using Holonomic Operations
• Experimental realization of non-Abelian non-adiabatic geometric gates