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Control of trapped-ion quantum states with optical pulses
C Rangan1, A M Bloch, C Monroe
1FOCUS Center and Department of Physics, The University of Michigan, Ann Arbor, Michigan 48109, USA.
Physical Review Letters
|April 20, 2004
Summary
Researchers explore quantum control for systems with infinite Hilbert spaces. They found resonant fields can make systems uncontrollable or controllable, enabling finite Hilbert spaces and entangled qubits.
Area of Science:
- Quantum physics
- Quantum information science
- Control theory
Background:
- Controlling quantum systems, especially those with infinite Hilbert spaces, is challenging.
- Trapped-ion systems are promising for quantum computation.
- Optical pulses are a key tool for manipulating quantum states.
Purpose of the Study:
- To analyze the quantum control of trapped-ion states using optical pulses.
- To investigate the impact of resonant bichromatic fields on system controllability.
- To explore methods for creating entangled qubits.
Main Methods:
- Control-theoretic analysis of trapped-ion quantum states.
- Application of resonant bichromatic optical fields.
- Mathematical modeling of qubit-harmonic oscillator systems.
Main Results:
- Demonstrated that resonant bichromatic fields can render systems uncontrollable or controllable.
- Showed that the qubit-harmonic oscillator's Hilbert space can be made finite.
- Developed a new scheme for producing entangled qubits from two ions.
Conclusions:
- Resonant bichromatic fields offer precise control over quantum systems, even those with infinite Hilbert spaces.
- Finite Hilbert spaces and controllable Schrödinger equations are achievable for specific quantum systems.
- A novel method for generating entangled qubits has been discovered, advancing quantum information processing.