Soft-pulse dynamical decoupling in a cavity

Abstract

Dynamical decoupling is a coherent control technique where the intrinsic and extrinsic couplings of a quantum system are effectively averaged out by application of specially designed driving fields (refocusing pulse sequences). This entails pumping energy into the system, which can be especially dangerous when it has sharp spectral features like a cavity mode close to resonance. In this work we show that such an effect can be avoided with properly constructed refocusing sequences. To this end we construct the average Hamiltonian expansion for the system evolution operator associated with a single ``soft'' pi-pulse. To second order in the pulse duration, we characterize a symmetric pulse shape by three parameters, two of which can be turned to zero by shaping. We express the effective Hamiltonians for several pulse sequences in terms of these parameters, and use the results to analyze the structure of error operators for controlled Jaynes-Cummings Hamiltonian. When errors are cancelled to second order, numerical simulations show excellent qubit fidelity with strongly-suppressed oscillator heating.

9pages, 5eps figures

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Cited by in corpus (17)

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• Limits on Preserving Quantum Coherence using Multi-Pulse Control
• Efficient Coherent Control by Optimized Sequences of Pulses of Finite Duration
• Soft-Pulse Dynamical Decoupling with Markovian Decoherence
• Optimized pulses for the perturbative decoupling of spin and decoherence bath
• Second-order shaped pulses for solid-state quantum computation
• Optimal Dynamical Decoupling Sequence for Ohmic Spectrum
• High Order Coherent Control Sequences of Finite-Width Pulses
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Quantum measurement with chaotic apparatus
• Frequency modulated pulses for quantum bits coupled to time-dependent baths
• 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