Deterministic generation of arbitrary ultrasmall excitation of quantum
systems by composite pulse sequences
- URL: http://arxiv.org/abs/2306.13209v1
- Date: Thu, 22 Jun 2023 21:27:22 GMT
- Title: Deterministic generation of arbitrary ultrasmall excitation of quantum
systems by composite pulse sequences
- Authors: Hayk L. Gevorgyan and Nikolay V. Vitanov
- Abstract summary: In some applications of quantum control, it is necessary to produce very weak excitation of a quantum system.
Here we propose a new method for generating a well-defined pre-selected very small transition probability.
The method features high fidelity and robustness to variations in the pulse area and the pulse duration.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In some applications of quantum control, it is necessary to produce very weak
excitation of a quantum system. Such an example is presented by the concept of
single-photon generation in cold atomic ensembles or doped solids, e.g. by the
DLCZ protocol, for which a single excitation is shared among thousands and
millions atoms or ions. Another example is the possibility to create huge Dicke
state of $N$ qubits sharing a single or a few excitations. Other examples are
using tiny rotations to tune high-fidelity quantum gates or using these tiny
rotations for testing high-fidelity quantum process tomography protocols.
Ultrasmall excitation of a quantum transition can be generated by either a very
weak or far-detuned driving field. However, these two approaches are sensitive
to variations in the experimental parameters, e.g. the transition probability
varies with the square of the pulse area. Here we propose a different method
for generating a well-defined pre-selected very small transition probability --
of the order of $10^{-2}$ to $10^{-8}$ -- by using composite pulse sequences.
The method features high fidelity and robustness to variations in the pulse
area and the pulse duration.
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