Quantum state driving: measurements versus pulses
- URL: http://arxiv.org/abs/2107.02874v2
- Date: Thu, 9 Sep 2021 18:07:16 GMT
- Title: Quantum state driving: measurements versus pulses
- Authors: Yi-Hsiang Chen
- Abstract summary: The quantum Zeno effect is well-known for fixing a system to an eigenstate by frequent measurements.
We consider making the measurements/pulses dynamical so that the state can move with the motion of the measurement axis/pulse basis.
Explicit bounds for the apply rate that guarantees a success probability are provided.
- Score: 6.47243430672461
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: The quantum Zeno effect is well-known for fixing a system to an eigenstate by
frequent measurements. It is also known that applying frequent unitary pulses
induces a Zeno subspace that can also pin the system to an eigenspace. Both
approaches have been studied as means to maintain a system in a certain
subspace. Extending the two concepts, we consider making the
measurements/pulses dynamical so that the state can move with the motion of the
measurement axis/pulse basis. We show that the system stays in the dynamical
eigenbasis when the measurements/pulses are slowly changing. Explicit bounds
for the apply rate that guarantees a success probability are provided. In
addition, both methods are inherently resilient against non-Markovian noise.
Finally, we discuss the similarities and differences between the two methods
and their connection to adiabatic quantum computation.
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