Benchmarking of universal qutrit gates
arXiv:2312.17418 · doi:10.1103/PhysRevA.109.012621
Abstract
We introduce a characterisation scheme for a universal qutrit gate set. Motivated by the rising interest in qutrit systems, we apply our criteria to establish that our hyperdihedral group underpins a scheme to characterise the performance of a qutrit T gate. Our resulting qutrit scheme is feasible, as it requires resources and data analysis techniques similar to resources employed for qutrit Clifford randomised benchmarking. Combining our T gate benchmarking procedure for qutrits with known qutrit Clifford-gate benchmarking enables complete characterisation of a universal qutrit gate set.
18 pages, 2 figures
References in corpus (37)
- Mixed State Entanglement and Quantum Error Correction
- Randomized Benchmarking of Quantum Gates
- Prescription for experimental determination of the dynamics of a quantum black box
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Contextuality supplies the magic for quantum computation
- Quantum cryptography with 3-state systems
- Qudits and high-dimensional quantum computing
- Quantum teleportation in high dimensions
- Efficient measurement of quantum gate error by interleaved randomized benchmarking
- Characterization of addressability by simultaneous randomized benchmarking
- Quantum Information Scrambling in a Superconducting Qutrit Processor
- Experimental high-dimensional quantum teleportation
- Enhanced fault-tolerant quantum computing in -level systems
- Manipulating biphotonic qutrits
- Quantification and Characterization of Leakage Errors
- High-dimensional optical quantum logic in large operational spaces
- Qutrit randomized benchmarking
- A general framework for randomized benchmarking
- Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
- Universal Quantum Computation with Metaplectic Anyons
- Characterizing Universal Gate Sets via Dihedral Benchmarking
- Randomized benchmarking with gate-dependent noise
- Simple factorization of unitary transformations
- Equivalence between contextuality and negativity of the Wigner function for qudits
- Efficient preparation and detection of microwave dressed-state qubits and qutrits with trapped ions
- Sustained state-independent quantum contextual correlations from a single ion
- Experimental investigation of quantum correlations in a two-qutrit spin system
- Qudit Colour Codes and Gauge Colour Codes in All Spatial Dimensions
- An arbitrary two-particle high-dimensional Bell state measurement by auxiliary entanglement
- Rolling quantum dice with a superconducting qubit
- Approximate Randomized Benchmarking for Finite Groups
- Complete unitary qutrit control in ultracold atoms
- Character randomized benchmarking for non-multiplicity-free groups with applications to subspace, leakage, and matchgate randomized benchmarking
- Randomized benchmarking for qudit Clifford gates
- High-fidelity quantum gates for OAM qudits on quantum memory
- Impacts of Noise and Structure on Quantum Information Encoded in a Quantum Memory
- Randomized Benchmarking Beyond Groups