Optimal Control of Superconducting N-level quantum systems
arXiv:0903.4028 · doi:10.1209/0295-5075/87/28004
Abstract
We consider a current-biased dc SQUID in the presence of an applied time-dependent bias current or magnetic flux. The phase dynamics of such a Josephson device is equivalent to that of a quantum particle trapped in a D anharmonic potential, subject to external time-dependent control fields, {\it i.e.} a driven multilevel quantum system. The problem of finding the required time-dependent control field that will steer the system from a given initial state to a desired final state at a specified final time is formulated in the framework of optimal control theory. Using the spectral filter technique, we show that the selected optimal field which induces a coherent population transfer between quantum states is represented by a carrier signal having a constant frequency but which is time-varied both in amplitude and phase. The sensitivity of the optimal solution to parameter perturbations is also addressed.
References in corpus (5)
- Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles
- Quantum optimal control theory and dynamic coupling in the spin-boson model
- Optimal control of a leaking qubit
- Optimized single-qubit gates for Josephson phase qubits
- Quantum dynamics in a camel-back potential of a dc SQUID
Cited by in corpus (15)
- Control of quantum phenomena: Past, present, and future
- Training Schrödinger's cat: quantum optimal control
- Local quantum control of Heisenberg spin chains
- Vibrational state inversion of a Bose-Einstein condensate: optimal control and state tomography
- Krotov Method for Optimal Control in Closed Quantum Systems
- Multiphoton transitions in Josephson-junction qubits (Review Article)
- Optimal control of circuit quantum electrodynamics in one and two dimensions
- Protocol for high fidelity readout in the photon blockade regime of circuit QED
- Exploring Quantum Control Landscape Structure
- High Fidelity Quantum Gates in the Presence of Dispersion
- Dissipative dynamics of a two-qubit system: Four-level lasing
- Dynamics of parametric matter wave amplification
- Multi-frequency control pulses for multi-level superconducting quantum circuits
- Optimal state transfer of a single dissipative two-level system
- Mesoscopic electron transport and atomic gases, a review of Frank W. J. Hekking's scientific work