Unfortunately, coherent errors degrade the performance of these gates. In Clifford gates such as the CNOT, these errors can be addressed through randomized compiling (RC). However, RC does not apply to the non-Clifford multi-qubit native implementations described above. The present work introduces ...
However, universal quantum computers require additional, non-Clifford gates to approximate arbitrary unitary transformations. We define a scalable randomized benchmarking procedure over $n$-qubit unitary matrices that correspond to protected non-Clifford gates for a class of stabilizer codes. We present ...
The conventional circuit paradigm, utilizing a small set of gates to construct arbitrary quantum circuits, is hindered by significant noise. In the quantum Fourier transform, for instance, the standard gate paradigm employs two CNOT gates for the partial
To achieve scalable universal quantum computing, we need to implement a universal set of logical gates fault-tolerantly, for which the main difficulty lies with non-Clifford gates. We demonstrate that several characteristic features of the reconfigurable atom array platform are inherently well-suited ...
Reaching useful fault-tolerant quantum computation relies on successfully implementing quantum error correction (QEC). In QEC, quantum gates and measurements are performed to encode quantum logic in a spatially nonlocal wavefunction within an error protected Hilbert space. To reach protected logic, clas...
Efficient Unitary Designs with a System-Size Independent Number of Non-Clifford Gatesdoi:10.1007/s00220-022-04507-6Communications in Mathematical Physics - Many quantum information protocols require the implementation of random unitaries. Because it takes exponential resources to produce Haar-random unit...