# Short coherent control pulse with small random errors in its direction

@article{ZhiKun2012ShortCC, title={Short coherent control pulse with small random errors in its direction}, author={Su Zhi-Kun and Jiang Shao-ji}, journal={arXiv: Quantum Physics}, year={2012} }

The finite-amplitude short coherent control pulse with small random errors in its direction is considered. We derive the conditions for it to approximate an ideal delta-shaped pulse up to an error in the second order of pulse duration. Whether the symmetric and asymmetric pulse shapes would fulfill these conditions is also analyzed. The result shows that, under one of these conditions, all symmetric pulse shapes can fulfill this condition but not for all asymmetric ones..

## References

SHOWING 1-10 OF 19 REFERENCES

Numerical analysis of optimized coherent control pulses

- Physics
- 2008

Numerically we simulate the effect of optimized coherent control pulses with a finite duration on a qubit in a bath of spins. The pulses of finite duration are compared with ideal instantaneous…

Optimization of short coherent control pulses

- Physics
- 2008

Experimentally, however, this idealized situation is not realistic. The real pulses are always of finite amplitude and of finite length. So the question must be addressed which effect a finite pulse…

Efficiency of dynamical decoupling sequences in the presence of pulse errors

- Physics
- 2011

For a generic dynamical decoupling sequence employing a single-axis control, we study its efficiency in the presence of small errors in the direction of the controlling pulses. In the case that the…

FAST TRACK COMMUNICATION: Generalization of short coherent control pulses: extension to arbitrary rotations

- Mathematics, Physics
- 2008

We generalize the problem of the coherent control of small quantum systems to the case where the quantum bit (qubit) is subject to a fully general rotation. Following the ideas developed in Pasini et…

How to Enhance Dephasing Time in Superconducting Qubits

- Physics
- 2008

We theoretically investigate the influence of designed pulse sequences in restoring quantum coherence lost due to background noise in superconducting qubits. We consider both $1/f$ noise and random…

Aperiodic dynamical decoupling sequences in the presence of pulse errors

- Physics
- 2011

Dynamical decoupling (DD) is a promising tool for preserving the quantum states of qubits. However, small imperfections in the control pulses can seriously affect the fidelity of decoupling, and…

DYNAMICAL SUPPRESSION OF DECOHERENCE IN TWO-STATE QUANTUM SYSTEMS

- Physics
- 1998

The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip…

Spin Echoes

- 2011

Intense radiofrequency power in the form of pulses is applied to an ensemble of spins in a liquid placed in a large static magnetic Geld H&. The frequency of the pulsed r-f power satisGes the…

Using parity kicks for decoherence control

- Physics
- 1999

We show how it is possible to suppress decoherence using tailored external forcing acting as pulses. In the limit of infinitely frequent pulses decoherence and dissipation are completely frozen;…

Performance comparison of dynamical decoupling sequences for a qubit in a rapidly fluctuating spin-bath

- Physics
- 2010

Avoiding the loss of coherence of quantum mechanical states is an important prerequisite for quantum information processing. Dynamical decoupling (DD) is one of the most effective experimental…