Error correction for gate operations in systems of exchange-coupled singlet-triplet qubits in double quantum dots

Abstract

We present a scheme for correcting for crosstalk- and noise-induced errors in exchange-coupled singlet-triplet semiconductor double quantum dot qubits. While exchange coupling allows the coupling strength to be controlled independently of the intraqubit exchange couplings, there is also the problem of leakage, which must be addressed. We show that, if a large magnetic field difference is present between the two qubits, leakage is suppressed. We then develop pulse sequences that correct for crosstalk- and noise-induced errors and present parameters describing them for the 24 Clifford gates. We determine the infidelity for both the uncorrected and corrected gates as a function of the error-inducing terms and show that our corrected pulse sequences reduce the error by several orders of magnitude.

arXiv comment12 pages, 3 figures. Clarified a number of definitions of symbols, edited the introduction to avoid overlap with a previous paper, and expanded the conclusion. Published in Phys. Rev. B

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Cited by in corpus (10)

• Probing context-dependent errors in quantum processors
• Experimental Characterization of Crosstalk Errors with Simultaneous Gate Set Tomography
• Geometric formalism for constructing arbitrary single-qubit dynamically corrected gates
• Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems
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• Robust entangling gate for capacitively coupled few-electron singlet-triplet qubits
• Sign-switching of superexchange mediated by few electrons under non-uniform magnetic field