Fault-Tolerant Quantum Computation for Singlet-Triplet Qubits with Leakage Errors

Abstract

We describe and analyze leakage errors of singlet-triplet qubits. Even though leakage errors are a natural problem for spin qubits encoded using quantum dot arrays, they have obtained little attention in previous studies. We describe the realization of leakage correction protocols that can be implemented together with the quantum error correction protocol of the surface code. Furthermore we construct explicit leakage reduction units that need, in the ideal setup, as few as three manipulation steps. Our study shows that leakage errors can be corrected without the need of measurements and at the cost of only a few additional ancilla qubits and gate operations compared to standard quantum error correction codes.

arXiv comment7+ pages, 5 figures

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• Handling Leakage with Subsystem Codes
• High-fidelity two-qubit gates of hybrid superconducting-semiconducting singlet-triplet qubits
• Twins Percolation for Qubit Losses in Topological Color Codes
• A Silicon Surface Code Architecture Resilient Against Leakage Errors
• Simple operation sequences to couple and interchange quantum information between spin qubits of different kinds
• Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory
• Democratizing Spin Qubits
• What determines the ultimate precision of a quantum computer?
• Analytical percolation theory for topological color codes under qubit loss
• Dynamical second-order noise sweetspots in resonantly driven spin qubits
• Hybrid Exchange Measurement-Based Qubit Operations in Semiconductor Double Quantum Dot Qubits
• Distributed Quantum Computing Utilizing Multiple Codes on Imperfect Hardware
• Error metric for non-trace-preserving quantum operations