Implementation of a Walsh-Hadamard gate in a superconducting qutrit

Abstract

We have implemented a Walsh-Hadamard gate, which performs a quantum Fourier transform, in a superconducting qutrit. The qutrit is encoded in the lowest three energy levels of a capacitively shunted flux device, operated at the optimal flux-symmetry point. We use an efficient decomposition of the Walsh-Hadamard gate into two unitaries, generated by off-diagonal and diagonal Hamiltonians respectively. The gate implementation utilizes simultaneous driving of all three transitions between the three pairs of energy levels of the qutrit, one of which is implemented with a two-photon process. The gate has a duration of 35 ns and an average fidelity over a representative set of states, including preparation and tomography errors, of 99.2%, characterized with quantum state tomography. Compensation of ac-Stark and Bloch-Siegert shifts is essential for reaching high gate fidelities.

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• Characterization of Control in a Superconducting Qutrit Using Randomized Benchmarking
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Complete unitary qutrit control in ultracold atoms
• Speed limits for two-qubit gates with weakly anharmonic qubits
• One-Dimensional Lazy Quantum walk in Ternary System
• A hybrid-qudit representation of digital RGB images
• Role of parasitic interactions and microwave crosstalk in dispersive control of two superconducting artificial atoms
• Deterministic joint remote state preparation with a non-maximally entangled channel
• Efficient characterization of qudit logical gates with gate set tomography using an error-free Virtual-Z-gate model
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• Degenerate Local-dimension-invariant Stabilizer Codes and an Alternative Bound for the Distance Preservation Condition
• Building Qutrit Diagonal Gates from Phase Gadgets
• Experimental study of quantum uncertainty from lack of information
• The underlying order induced by orthogonality and the quantum speed limit
• Characterization of multi-level dynamics and decoherence in a high-anharmonicity capacitively shunted flux circuit
• Gaussian Amplitude Amplification for Quantum Pathfinding
• Constructing all qutrit controlled Clifford+T gates in Clifford+T
• The qutrit as a heat diode and circulator