Geometric phase shift in quantum computation using superconducting nanocircuits: nonadiabatic effects

Abstract

The nonadiabatic geometric quantum computation may be achieved using coupled low-capacitance Josephson juctions. We show that the nonadiabtic effects as well as the adiabatic condition are very important for these systems. Moreover, we find that it may be hard to detect the adiabatic Berry's phase in this kind of superconducting nanocircuits; but the nonadiabatic phase may be measurable with current techniques. Our results may provide useful information for the implementation of geometric quantum computation.

5 pages; A slightly different version with PRA 66, 042322

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• Experimental Realization of $1\to 2$ Asymmetric Phase-Covariant Quantum Cloning
• Experimental implementation of high-fidelity unconventional geometric quantum gates using NMR interferometer
• Non-adiabatic geometrical quantum gates in semiconductor quantum dots
• Physical implementation of holonomic quantum computation in decoherence-free subspaces with trapped ions
• Connecting Berry's phase and the pumped charge in a Cooper pair pump
• Nonadiabatic Geometric Quantum Computation Using A Single-loop Scenario
• Quantum information processing using Josephson junctions coupled through cavities
• Geometric quantum computation using fictitious spin- 1/2 subspaces of strongly dipolar coupled nuclear spins
• Controllable high-fidelity quantum state transfer and entanglement generation in circuit QED
• Perturbative Formulation and Non-adiabatic Corrections in Adiabatic Quantum Computing Schemes
• Testing Bell's inequality and measuring the entanglement using superconducting nanocircuits
• Spin coherent states in NMR quadrupolar system: experimental and theoretical applications
• Universal quantum gates based on both geometric and dynamic phases in quantum dots
• Geometrical, topological and dynamical description of $\mathcal{N}$ interacting spin-$\mathtt{s}$ under long-range Ising model and their interplay with quantum entanglement
• Geometric vs. Dynamical Gates in Quantum Computing Implementations Using Zeeman and Heisenberg Hamiltonians
• Nonadiabatic geometric rotation of electron spin in a quantum dot by 2Pi hyperbolic secant pulses
• Time evolution and adiabatic approximation in $PT$-symmetric quantum mechanics
• Effect of decoherence on the Berry phase of a spin-half in a rotating magnetic field
• Decoherence of quantum gates based on Aharonov-Anandan phases in a multistep scheme
• Geometric and holonomic quantum computation
• Application of Geometric Phase in Quantum Computations