Randomized benchmarking for qudit Clifford gates

Abstract

We introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single-and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from the multi-qubit case by equating qudit URB to URB of the symmetric multi-qubit subspace. Our qudit URB is elucidated by using pseudocode, which facilitates incorporating into benchmarking applications.

14 pages. Comments are welcome!

References in corpus (7)

• Randomized Benchmarking of Quantum Gates
• Robust randomized benchmarking of quantum processes
• High-dimensional quantum communication: benefits, progress, and future challenges
• Quantum Process Tomography: Resource Analysis of Different Strategies
• Quantum teleportation in high dimensions
• Evenly distributed unitaries: on the structure of unitary designs
• Magic state distillation in all prime dimensions using quantum Reed-Muller codes

Cited by in corpus (18)

• Qudits and high-dimensional quantum computing
• Qutrit randomized benchmarking
• Computer-inspired concept for high-dimensional multipartite quantum gates
• Conceptual understanding through efficient inverse-design of quantum optical experiments
• Characterization of Control in a Superconducting Qutrit Using Randomized Benchmarking
• Systematic study of High $E_J/E_C$ transmon qudits up to $d=12$
• Asymptotically Improved Circuit for $d$-ary Grover's Algorithm with Advanced Decomposition of $n$-qudit Toffoli Gate
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Gravitational back-reaction is magical
• Leveraging Randomized Compiling for the QITE Algorithm
• Multi-frequency control and measurement of a spin-7/2 system encoded in a transmon qudit
• Group-covariant extreme and quasi-extreme channels
• Non-Pauli errors can be efficiently sampled in qudit surface codes
• Randomised benchmarking for universal qudit gates
• Benchmarking of universal qutrit gates
• Measurement-based quantum computing with qudit stabilizer states
• Generalized group designs: constructing novel unitary 2-, 3- and 4-designs
• Qudit non-Clifford interleaved benchmarking