Experimental high-dimensional Greenberger-Horne-Zeilinger entanglement with superconducting transmon qutrits

Abstract

Multipartite entanglement is one of the core concepts in quantum information science with broad applications that span from condensed matter physics to quantum physics foundations tests. Although its most studied and tested forms encompass two-dimensional systems, current quantum platforms technically allow the manipulation of additional quantum levels. We report the experimental demonstration and certification of a high-dimensional multipartite entangled state in a superconducting quantum processor. We generate the three-qutrit Greenberger-Horne-Zeilinger state by designing the necessary pulses to perform high-dimensional quantum operations. We obtain the fidelity of $76\pm 1\%$, proving the generation of a genuine three-partite and three-dimensional entangled state. To this date, only photonic devices have been able to create and certify the entanglement of these high-dimensional states. Our work demonstrates that another platform, superconducting systems, is ready to exploit genuine high-dimensional entanglement and that a programmable quantum device accessed on the cloud can be used to design and execute experiments beyond binary quantum computation.

6 pages + 7 supplementary information, 3 + 3 figures, 1 + 3 tables

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• Quantum Simulation of Polarized Light-induced Electron Transfer with A Trapped-ion Qutrit System
• Biphoton State Reconstruction via Phase Retrieval Methods
• Detecting the dimensionality of genuine multi-particle entanglement
• Improving Transmon Qudit Measurement on IBM Quantum Hardware
• Observation of Genuine High-dimensional Multi-partite Non-locality in Entangled Photon States
• Quantum entanglement generation on magnons assisted with microwave cavities coupled to a superconducting qubit
• The power of qutrits for non-adaptive measurement-based quantum computing
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• Exponentially Enhanced Scheme for the Heralded Qudit GHZ State in Linear Optics
• Qompress: Efficient Compilation for Ququarts Exploiting Partial and Mixed Radix Operations for Communication Reduction
• Heisenberg-Limited Spin-Mechanical Gravimetry
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• High-dimensional counterdiabatic quantum computing
• Towards Photon-Number-Encoded High-dimensional Entanglement from a Sequentially Excited Quantum Three-Level System
• Dissipative phase transition: from qubits to qudits
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• Microscopic Study on Superexchange Dynamics of Composite Spin-1 Bosons
• Uncertainty relations between quantum Fisher information and entanglement monotones
• Affinity-based geometric discord and quantum speed limits of its creation and decay
• Protecting three-dimensional entanglement from correlated amplitude damping channel
• Implementing a Ternary Decomposition of the Toffoli Gate on Fixed-FrequencyTransmon Qutrits
• Optimal quantum resource generation in coupled transmons immersed in Markovian baths
• Proposal for the complete high-dimensional Greenberger-Horne-Zeilinger state measurement
• Quantum Circuits for High-Dimensional Absolutely Maximally Entangled States
• Permutationally invariant processes in open multiqudit systems
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