Non-Abelian geometric phases in ground state Josephson devices
arXiv:1002.0957 · doi:10.1103/PhysRevB.81.174506
Abstract
We present a superconducting circuit in which non-Abelian geometric transformations can be realized using an adiabatic parameter cycle. In contrast to previous proposals, we employ quantum evolution in the ground state. We propose an experiment in which the transition from non-Abelian to Abelian cycles can be observed by measuring the pumped charge as a function of the period of the cycle. Alternatively, the non-Abelian phase can be detected using a single-electron transistor working as a charge sensor.
5 pages, 3 figures; added references and clarified discussion about earlier research on the field
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Cited by in corpus (20)
- Single-electron current sources: towards a refined definition of ampere
- Geometric phases in quantum information
- On the stability of quantum holonomic gates
- Experimental state control by fast non-Abelian holonomic gates with a superconducting qutrit
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- Floquet theory of Cooper pair pumping
- Decoherence of adiabatically steered quantum systems
- Geometric quantum gates with superconducting qubits
- Superadiabatic theory for Cooper pair pumping under decoherence
- Nonadiabatic Holonomic Quantum Computation and Its Optimal Control
- Ground-state geometric quantum computing in superconducting systems
- Realization of a holonomic quantum computer in a chain of three-level systems
- The Geometry of (non) abelian adiabatic pumping
- Merging diabolical points of a superconducting circuit
- Cooper pair current in the presence of flux noise
- Coherent superconducting quantum pump
- Coherent Cooper-pair pumping by magnetic flux control
- Quantum effect of inductance on geometric Cooper-pair transport
- Geometric and holonomic quantum computation
- Noise Effects on the Wilczek-Zee Geometric Phase