Efficient two-qutrit gates in superconducting circuits using parametric coupling

Abstract

Recently, significant progress has been made in the demonstration of single qutrit and coupled qutrit gates with superconducting circuits. Coupled qutrit gates have significantly lower fidelity than single qutrit gates, owing to long implementation times. We present a protocol to implement the CZ universal gate for two qutrits based on a decomposition involving two partial state swaps and local operations. The partial state swaps can be implemented effectively using parametric coupling, which is fast and has the advantage of frequency selectivity. We perform a detailed analysis of this protocol in a system consisting of two fixed-frequency transmons coupled by a flux-tunable transmon. The application of an AC flux in the tunable transmon controls the parametric gates. This protocol has the potential to lead to fast and scalable two-qutrit gates in superconducting circuit architectures.

arXiv comment10 pages, 6 figures, comments welcome

References in corpus (34)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• QuTiP: An open-source Python framework for the dynamics of open quantum systems
• Schrieffer-Wolff transformation for quantum many-body systems
• Efficient Z-Gates for Quantum Computing
• Qudits and high-dimensional quantum computing
• A tunable coupling scheme for implementing high-fidelity two-qubit gates
• Molecular Spin Qudits for Quantum Algorithms
• A universal gate for fixed-frequency qubits via a tunable bus
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Quantum Information Scrambling in a Superconducting Qutrit Processor
• High-fidelity, high-scalability two-qubit gate scheme for superconducting qubits
• Parametrically Activated Entangling Gates Using Transmon Qubits
• Effective Hamiltonian models of the cross-resonance gate
• Enhanced fault-tolerant quantum computing in $d$-level systems
• First-order sideband transitions with flux-driven asymmetric transmon qubits
• Qutrit randomized benchmarking
• High-Fidelity Qutrit Entangling Gates for Superconducting Circuits
• Parametric coupling for superconducting qubits
• First-principles analysis of cross-resonance gate operation
• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
• Tunable coupling scheme for flux qubits at the optimal point
• Analytical modeling of parametrically-modulated transmon qubits
• Analysis of parametrically driven exchange-type (iSWAP) and two-photon (bSWAP) interactions between superconducting qubits
• Parametric-resonance entangling gates with a tunable coupler
• Scqubits: a Python package for superconducting qubits
• Error analysis in suppression of unwanted qubit interactions for a parametric gate in a tunable superconducting circuit
• Experimental Realization of Two Qutrits Gate with Tunable Coupling in Superconducting Circuits
• Quantum metrology with a transmon qutrit
• High-fidelity software-defined quantum logic on a superconducting qudit
• Performing SU($d$) operations and rudimentary algorithms in a superconducting transmon qudit for $d=3$ and $d=4$
• Experimental investigation of quantum correlations in a two-qutrit spin system
• Double-Transmon Coupler: Fast Two-Qubit Gate with No Residual Coupling for Highly Detuned Superconducting Qubits
• Modular tunable coupler for superconducting qubits
• Nonadiabatic corrections to fast dispersive multiqubit gates involving Z control

Cited by in corpus (4)

• Qutrit and Qubit Circuits for Three-Flavor Collective Neutrino Oscillations
• Reinforcement learning pulses for transmon qubit entangling gates
• Synthesis and Arithmetic of Single Qutrit Circuits
• Dissipative phase transition: from qubits to qudits