Characterisation of an exchange-based two-qubit gate for resonant exchange qubits

Abstract

Resonant exchange qubits are a promising addition to the family of experimentally implemented encodings of single qubits using semiconductor quantum dots. We have shown previously that it ought to be straightforward to perform a CPHASE gate between two resonant exchange qubits with a single exchange pulse. This approach uses energy gaps to suppress leakage rather than conventional pulse sequences. In this paper we present analysis and simulations of our proposed two-qubit gate subject to charge and Overhauser field noise at levels observed in current experiments. Our main result is that we expect implementations of our two-qubit gate to achieve high fidelities, with errors at the percent level and gate times comparable to single-qubit operations. As such, exchange-coupled resonant exchange qubits remain an attractive approach for quantum computing.

11 pages, 8 figures + 4 pages of supp. mat., 1 figure, comments welcome

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• Phonon-assisted relaxation and decoherence of singlet-triplet qubits in Si/SiGe quantum dots
• Unravelling Quantum Dot Array Simulators via Singlet-Triplet Measurements
• Benchmarking of dynamically corrected gates for the exchange-only spin qubit in $1/f$ noise environment
• Efficient Two-Qubit Pulse Sequences Beyond CNOT
• Two-qubit logical operations in three quantum dots system
• Two-qubit sweet spots for capacitively coupled exchange-only spin qubits
• Fast optical control of a coded qubit in a triple quantum dot