Optimizing electrically controlled echo sequences for the exchange-only qubit

Abstract

Recently, West and Fong [New J. Phys. 14, 083002 (2012)] introduced an echo scheme for an exchange-only qubit, which relies entirely on the exchange-interaction. Here, we compare two different exchange-based sequences and two optimization strategies, Uhrig dynamical decoupling (UDD) and optimized filter function dynamical decoupling (OFDD), which were introduced for a single-spin qubit and are applied in this paper to the three-spin exchange-only qubit. The calculation shows that the adaption of the optimization concepts can be achieved by straight-forward calculation. We consider two types of noise spectra, Lorentzian and Ohmic noise. For both spectra, the results reveal a slight dependence of the performance on the choice of the echo sequence.

7 pages, 4 figures

References in corpus (6)

• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Fidelity of quantum operations
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Rigorous Bounds for Optimal Dynamical Decoupling
• Hyperfine-Induced Decay in Triple Quantum Dots
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Cited by in corpus (4)

• Three-electron spin qubits
• Coupling of three-spin qubits to their electric environment
• The exchange-only singlet-only spin qubit
• A tunable hybrid qubit in a triple quantum dot