Scalable design of tailored soft pulses for coherent control

Abstract

We present a scalable scheme to design optimized soft pulses and pulse sequences for coherent control of interacting quantum many-body systems. The scheme is based on the cluster expansion and the time dependent perturbation theory implemented numerically. This approach offers a dramatic advantage in numerical efficiency, and it is also more convenient than the commonly used Magnus expansion, especially when dealing with higher order terms. We illustrate the scheme by designing 2nd-order pi-pulses and a 6th-order 8-pulse refocusing sequence for a chain of qubits with nearest-neighbor couplings. We also discuss the performance of soft-pulse refocusing sequences in suppressing decoherence due to low-frequency environment.

4 pages, 2 tables. (modified first table, references added, minor text changes)

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Cited by in corpus (27)

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• Robustness of composite pulses to time-dependent control noise
• Effect of pulse error accumulation on dynamical decoupling of the electron spins of phosphorus donors in silicon
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
• Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Fault-Tolerant Landau-Zener Quantum Gates
• Soft-Pulse Dynamical Decoupling with Markovian Decoherence
• Soft-pulse dynamical decoupling in a cavity
• Generalization of short coherent control pulses: extension to arbitrary rotations
• Optimized pulses for the perturbative decoupling of spin and decoherence bath
• Second-order shaped pulses for solid-state quantum computation
• High Order Coherent Control Sequences of Finite-Width Pulses
• Synchronization of spin-torque driven nanooscillators for point contacts on a quasi-1D nanowire: Micromagnetic simulations
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Frequency modulated pulses for quantum bits coupled to time-dependent baths
• Dynamical decoupling induced renormalization of the non-Markovian dynamics
• Efficient Hamiltonian programming in qubit arrays with nearest-neighbour couplings
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Dynamical decoupling with tailored waveplates for long distance communication using polarization qubits
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Anomalous behavior of control pulses in presence of noise with singular autocorrelation
• Pulse-controlled quantum gate sequences on a strongly coupled qubit chain