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Bulletin of the American Physical Society

Creation, verification, and scalability of decoherence-free subspaces and noiseless subsystems on superconducting qubits

Gregory Quiroz, Bibek Pokharel, Yifan Sun, Joseph Boen, Lina Tewala, V.K. Tripathi, Matthew Kowalsky, Devon Williams, Jun-Yi Zhang, Paraj Titum, Lian-Ao Wu, Kevin Schultz, Daniel A. Lidar

Published Mar 15, 2021• 0 citations
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When an environmental disturbance to a quantum system has a wavelength much larger than the system size, all qubits in the system are under the action of the same error operator. The noiseless subsystem and decoherence-free subspace are immune to such collective noise. We construct simple quantum circuits that implement these error-avoiding codes for a small number nnn of physical qubits. A single logical qubit is encoded with n=3n=3n=3 and 4, while two and three logical qubits are encoded with n=5n=5n=5 and 7, respectively. Recursive relations among subspaces employed in these codes play essential roles in our implementation.