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Updated: Jun 8, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Accelerated monotonic convergence of optimal control over quantum dynamics
1Department of Chemistry, Princeton University, Princeton, NJ 08544, USA. tsho@princeton.edu
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 28, 2010
Summary
This study introduces a new quantum control method, the two-point boundary-value quantum control paradigm (TBQCP), for optimizing control fields. TBQCP offers efficient, monotonically convergent algorithms for controlling quantum dynamics.
Area of Science:
- Quantum physics
- Quantum control theory
Background:
- Controlling quantum dynamics requires optimal time-dependent fields to transition systems between states.
- Existing methods like local control theory and the Krotov method have limitations.
Purpose of the Study:
- To present a general, monotonically convergent algorithm for improving quantum control fields.
- To introduce the two-point boundary-value quantum control paradigm (TBQCP) as a novel approach.
Main Methods:
- Formulation of TBQCP based on dynamical invariant tracking control.
- Derivation of accelerated monotonic convergence schemes from TBQCP.
- Comparison of TBQCP schemes with the Krotov method via numerical simulations.
Main Results:
- TBQCP is related to existing quantum control techniques.
- New TBQCP schemes demonstrate efficiency and monotonic convergence.
- Convergence is robust across various iteration parameters and pulse lengths.
Conclusions:
- The TBQCP method provides an efficient and reliable approach for quantum dynamics control.
- The trap-free nature of the quantum dynamics control landscape contributes to TBQCP's robustness.
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