High-Fidelity Qutrit Entangling Gates for Superconducting Circuits

Abstract

Ternary quantum information processing in superconducting devices poses a promising alternative to its more popular binary counterpart through larger, more connected computational spaces and proposed advantages in quantum simulation and error correction. Although generally operated as qubits, transmons have readily addressable higher levels, making them natural candidates for operation as quantum three-level systems (qutrits). Recent works in transmon devices have realized high fidelity single qutrit operation. Nonetheless, effectively engineering a high-fidelity two-qutrit entanglement remains a central challenge for realizing qutrit processing in a transmon device. In this work, we apply the differential AC Stark shift to implement a flexible, microwave-activated, and dynamic cross-Kerr entanglement between two fixed-frequency transmon qutrits, expanding on work performed for the $ZZ$ interaction with transmon qubits. We then use this interaction to engineer efficient, high-fidelity qutrit CZ${}^{†}$ and CZ gates, with estimated process fidelities of 97.3(1)% and 95.2(3)% respectively, a significant step forward for operating qutrits on a multi-transmon device.

8 pages (+19 pages in supplement) 5 Figures (+7 in supplement)

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Cited by in corpus (74)

• Universal qudit gate synthesis for transmons
• Experimental Realization of Two Qutrits Gate with Tunable Coupling in Superconducting Circuits
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• Performing SU($d$) operations and rudimentary algorithms in a superconducting transmon qudit for $d=3$ and $d=4$
• Navigating the 16-dimensional Hilbert space of a high-spin donor qudit with electric and magnetic fields
• Efficient realization of quantum algorithms with qudits
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array
• Systematic study of High $E_J/E_C$ transmon qudits up to $d=12$
• Empowering high-dimensional quantum computing by traversing the dual bosonic ladder
• Qudit Dynamical Decoupling on a Superconducting Quantum Processor
• Native two-qubit gates in fixed-coupling, fixed-frequency transmons beyond cross-resonance interaction
• Qudits for decomposing multiqubit gates and realizing quantum algorithms
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Emulating two qubits with a four-level transmon qudit for variational quantum algorithms
• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Exploring Ququart Computation on a Transmon using Optimal Control
• Experimental advances with the QICK (Quantum Instrumentation Control Kit) for superconducting quantum hardware
• Quantum Simulations of SO(5) Many-Fermion Systems using Qudits
• Experimental error suppression in Cross-Resonance gates via multi-derivative pulse shaping
• Generalized Toffoli gate decomposition using ququints: Towards realizing Grover's algorithm with qudits
• An architecture for two-qubit encoding in neutral ytterbium-171 atoms
• Qutrit and Qubit Circuits for Three-Flavor Collective Neutrino Oscillations
• Simulating neutrino oscillations on a superconducting qutrit
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• $q$-analog qudit Dicke states
• A hybrid-qudit representation of digital RGB images
• Reinforcement learning pulses for transmon qubit entangling gates
• Multi-frequency control and measurement of a spin-7/2 system encoded in a transmon qudit
• Quantum Algorithms for Inverse Participation Ratio Estimation in multi-qubit and multi-qudit systems
• Dancing the Quantum Waltz: Compiling Three-Qubit Gates on Four Level Architectures
• Benchmarking quantum gates and circuits
• Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
• Qudit Dicke state preparation
• Role of parasitic interactions and microwave crosstalk in dispersive control of two superconducting artificial atoms
• Non-Pauli errors can be efficiently sampled in qudit surface codes
• Collective Neutrino Oscillations in Three Flavors on Qubit and Qutrit Processors
• The Qupit Stabiliser ZX-travaganza: Simplified Axioms, Normal Forms and Graph-Theoretic Simplification
• Platonic dynamical decoupling sequences for interacting spin systems
• The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems
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• Randomised benchmarking for universal qudit gates
• A Universal Circuit Set Using the $S_3$ Quantum Double
• Unveiling the non-Abelian statistics of $D(S_3)$ anyons via photonic simulation
• Characterization of coherent errors in gate layers with robustness to Pauli noise
• High-dimensional counterdiabatic quantum computing
• Compression of Entanglement Improves Quantum Communication
• Efficient fidelity estimation: Alternative derivation and related applications
• Low Overhead Qutrit Magic State Distillation
• Microscopic Study on Superexchange Dynamics of Composite Spin-1 Bosons
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Extended Josephson junction qubit system
• Maximally entangled real states and SLOCC invariants: the 3-qutrit case
• Unitary Transformations using Robust Optimal Control on a Cold Atom Qudit
• Two-local modifications of SYK model with quantum chaos
• Robust Control and Entanglement of Qudits in Neutral Atom Arrays
• Qudit low-density parity-check codes
• A Complete and Natural Rule Set for Multi-Qutrit Clifford Circuits
• Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
• Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States
• Measurement-based quantum computing with qudit stabilizer states
• Non-symmetric GHZ states: weighted hypergraph and controlled-unitary graph representations
• Simple ways of preparing qudit Dicke states
• Protecting three-dimensional entanglement from correlated amplitude damping channel
• Honest-binding quantum bit commitment from separable operations
• Tradeoff between noise and banding in a quantum adder with qudits
• Single photonic qutrit in a collective Rydberg polariton
• Transversal AND in Quantum Codes
• Synthesis of Single Qutrit Circuits from Clifford+R
• Signatures of Environment-Induced Quantum Synchronization Transitions via Two-body Dissipator Engineering
• Physically motivated decompositions of single-qutrit gates
• Scalable platform for qudit-based quantum computing using polar molecules
• Entanglement generation in capacitively coupled Transmon-cavity system
• Efficient Implementation of a Single-Qutrit Gate Set via Coherent Control