Rolling quantum dice with a superconducting qubit

Abstract

One of the key challenges in quantum information is coherently manipulating the quantum state. However, it is an outstanding question whether control can be realized with low error. Only gates from the Clifford group -- containing $\pi$, $\pi /2$, and Hadamard gates -- have been characterized with high accuracy. Here, we show how the Platonic solids enable implementing and characterizing larger gate sets. We find that all gates can be implemented with low error. The results fundamentally imply arbitrary manipulation of the quantum state can be realized with high precision, providing new practical possibilities for designing efficient quantum algorithms.

8 pages, 4 figures, including supplementary material

References in corpus (20)

• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• Robust randomized benchmarking of quantum processes
• Exact and Approximate Unitary 2-Designs: Constructions and Applications
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Universal digital quantum simulation with trapped ions
• Scalable Noise Estimation with Random Unitary Operators
• Characterizing Quantum Gates via Randomized Benchmarking
• Efficient measurement of quantum gate error by interleaved randomized benchmarking
• Evenly distributed unitaries: on the structure of unitary designs
• Optimal quantum control using randomized benchmarking
• Implementing optimal control pulse shaping for improved single-qubit gates
• Process verification of two-qubit quantum gates by randomized benchmarking
• Realisation of a programmable two-qubit quantum processor
• Investigating the limits of randomized benchmarking protocols
• Reduced phase error through optimized control of a superconducting qubit
• Unitary designs and codes
• Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
• Robust Extraction of Tomographic Information via Randomized Benchmarking
• Improving quantum gate fidelities by using a qubit to measure microwave pulse distortions

Cited by in corpus (28)

• Quantum information processing with superconducting circuits: a review
• Digital quantum simulation of fermionic models with a superconducting circuit
• Quantum certification and benchmarking
• Randomized benchmarking of single qubit gates in a 2D array of neutral atom qubits
• Characterizing errors on qubit operations via iterative randomized benchmarking
• A general framework for randomized benchmarking
• What randomized benchmarking actually measures
• Efficient estimation of Pauli channels
• Characterizing Universal Gate Sets via Dihedral Benchmarking
• Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
• Detecting and tracking drift in quantum information processors
• Scalable randomized benchmarking of non-Clifford gates
• Recovering quantum gates from few average gate fidelities
• Scalable Hardware-Efficient Qubit Control with Single Flux Quantum Pulse Sequences
• Multi-qubit Randomized Benchmarking Using Few Samples
• Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates
• Experimental benchmarking of an automated deterministic error suppression workflow for quantum algorithms
• Randomized Benchmarking under Different Gatesets
• A polar decomposition for quantum channels (with applications to bounding error propagation in quantum circuits)
• Compiling Arbitrary Single-Qubit Gates Via the Phase-Shifts of Microwave Pulses
• Direct digital synthesis of microwave waveforms for quantum computing
• Comparing randomized benchmarking figure with average infidelity of quantum gate-set
• Randomised benchmarking for universal qudit gates
• Benchmarking of universal qutrit gates
• The role of interparticle interaction and environmental coupling in a two-particle open quantum system
• On construction of finite averaging sets for $SL(2,\mathbb{C})$ via its Cartan decomposition
• Quantum statistical effect induced through conditioned post-processing procedures with unitary $t$-designs
• Investigating the effect of noise channels on the quality of unitary t-designs