Observation of Berry's Phase in a Solid-State Qubit

2007/11/01 by Peter Leek, P. J. Leek, J. M. Fink +14 · 25 citations
Computer Science · Mathematics · Physics and Astronomy · #Berry #Biology #Condensed matter physics #Dephasing #Field (mathematics) #Function (biology) #Geometric phase #Mathematics #Microwave #Phase (matter) #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Qubit #Superconductivity #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1126/science.1149858

published as Science 318, 1889 (2007) · 5 pages, 4 figures, version with high resolution figures available at http://qudev.ethz.ch/content/science/PubsPapers.html

arxiv created 2007/11/01 · openalex publication_date 2007/11/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In quantum information science, the phase of a wave function plays an important role in encoding information. Although most experiments in this field rely on dynamic effects to manipulate this information, an alternative approach is to use geometric phase, which has been argued to have potential fault tolerance. We demonstrated the controlled accumulation of a geometric phase, Berry's phase, in a superconducting qubit; we manipulated the qubit geometrically by means of microwave radiation and observed the accumulated phase in an interference experiment. We found excellent agreement with Berry's predictions and also observed a geometry-dependent contribution to dephasing.

Citations

• Geometric quantum computation using nuclear magnetic resonance
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Quantum Manipulations of Small Josephson Junctions
• Demonstration of conditional gate operation using superconducting charge qubits
• Quantum Coherence with a Single Cooper Pair
• 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
• Quantal phase factors accompanying adiabatic changes
• Coupling superconducting qubits via a cavity bus

Cited by

• Time-resolved qubit readout via nonlinear Josephson inductance
• Nonadiabatic noncyclic geometric quantum computation in Rydberg atoms
• Transconductance quantization in a topological Josephson tunnel junction circuit
• Measuring the Aharonov–Anandan phase in multiport photonic systems
• Non-Abelian Berry phase for open quantum systems: Topological protection versus geometric dephasing
• Non-Abelian Geometric Dephasing
• Correction to the geometric phase by structured environments: The onset of non-Markovian effects
• Geometric quantum gates with superconducting qubits
• Vacuum Condensate, Geometric Phase, Unruh Effect, and Temperature Measurement
• Nonadiabatic fluctuation in the measured geometric phase
• Qubit-oscillator dynamics in the dispersive regime: Analytical theory beyond the rotating-wave approximation
• Full counting statistics applied to dissipative Cooper pair pumping
• A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms
• Geometric phase in entangled systems: A single-neutron interferometer experiment
• Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms
• New aspects of geometric phases in experiments with polarized neutrons
• Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
• Non-Abelian geometric phase in the diamond nitrogen-vacancy center
• Entanglement Generation in Superconducting Qubits Using Holonomic Operations
• Effective geometric phases and topological transitions in SO(3) and SU(2) rotations
• Experimental realization of non-Abelian non-adiabatic geometric gates
• Plug-and-Play Approach to Nonadiabatic Geometric Quantum Gates
• Super-robust nonadiabatic geometric quantum control
• Fast magnetic field manipulations and nonadiabatic geometric phases of nitrogen-vacancy center spin in diamond
• Geometric phase via adiabatic manipulations of the environment

Related

• Exploring the Effect of Noise on the Berry Phase
• Revealing the Berry phase under the tunneling barrier
• Geometric Nature of the Environment-Induced Berry Phase and Geometric Dephasing
• Demonstration of Geometric Landau-Zener Interferometry in a Superconducting Qubit
• Berry phase due to quantum measurements