Frequency modulated pulses for quantum bits coupled to time-dependent baths

Abstract

We consider the coherent control of a quantum bit by the use of short pulses with finite duration τ_p. By shaping the pulse, we perturbatively decouple the dynamics of the bath from the dynamics of the quantum bit during the pulse. Such shaped pulses provide single quantum bit gates robust against decoherence which are useful for quantum information processing. We extend previous results in two ways: (i) we treat frequency modulated pulses and (ii) we pass from time-independent baths to analytically time-dependent baths. First and second order solutions for π- and π/2-pulses are presented. They are useful in experiments where amplitude modulation is difficult to realize.

10 pages, 6 figures

References in corpus (14)

• The Magnus expansion and some of its applications
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Optimization of Short Coherent Control Pulses
• Arbitrary precision composite pulses for NMR quantum computing
• Scalable design of tailored soft pulses for coherent control
• Soft-pulse dynamical decoupling in a cavity
• Generalization of short coherent control pulses: extension to arbitrary rotations
• Second-order shaped pulses for solid-state quantum computation
• High Order Coherent Control Sequences of Finite-Width Pulses

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• Experimental bath engineering for quantitative studies of quantum control
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• Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling
• Controlling NMR spin systems for quantum computation
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation