Quantum holonomies with Josephson-junction devices

Abstract

We examined properties of a Josephson-junction system composed of two coupled Cooper-pair boxes (charge qubits) as a candidate for observation of quantum holonomies. We construct a universal set of transformations in a two-fold degenerate ground state, and discuss the effects of noise in the system.

RevTeX4, 5 pages, 3 figures, minor changes requested by Phys. Rev. B

References in corpus (10)

• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Holonomic Quantum Computation
• Quantum oscillations in two coupled charge qubits
• Josephson-Junction Qubits with Controlled Couplings
• Preserving coherence in quantum computation by pairing quantum bits
• Detection of Geometric Phases in Superconducting Nanocircuits
• Non-Abelian Berry connections for quantum computation
• Non-Abelian phases, charge pumping, and quantum computation with Josephson junctions
• Adiabatic transport of Cooper pairs in arrays of Josephson junctions

Cited by in corpus (10)

• Advanced control with a Cooper-pair box: stimulated Raman adiabatic passage and Fock-state generation in a nanomechanical resonator
• Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
• Suppression of the critical current of a balanced SQUID
• Mixed state non-Abelian holonomy for subsystems
• Sensitivity to parameters of STIRAP in a Cooper-Pair Box
• Merging diabolical points of a superconducting circuit
• Quantum Holonomies in Graphene Wormholes
• Appearance of Topological Phases in Superconducting Nanocircuits
• Quantum Holonomy based in a Kaluza-Klein description for defects in $C_{60}$ fullerenes
• Geometric and holonomic quantum computation