Deterministic generation of qudit photonic graph states from quantum emitters

Abstract

We propose and analyze deterministic protocols to generate qudit photonic graph states from quantum emitters. We show that our approach can be applied to generate any qudit graph state, and we exemplify it by constructing protocols to generate one- and two-dimensional qudit cluster states, absolutely maximally entangled states, and logical states of quantum error correcting codes. Some of these protocols make use of time-delayed feedback, while others do not. The only additional resource requirement compared to the qubit case is the ability to control multi-level emitters. These results significantly broaden the range of multi-photon entangled states that can be produced deterministically from quantum emitters.

13 pages, 10 figures

References in corpus (23)

• The Quantum Internet
• Multi-party entanglement in graph states
• Qudits and high-dimensional quantum computing
• Isolated electron spins in silicon carbide with millisecond-coherence times
• Deterministic Generation of a Cluster State of Entangled Photons
• A universal qudit quantum processor with trapped ions
• Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
• A photonic cluster state machine gun
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
• Nonlinear interaction between two heralded single photons
• Scalable Generation of Graph-State Entanglement through Realistic Linear Optics
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Efficient preparation and detection of microwave dressed-state qubits and qutrits with trapped ions
• Resource requirements for efficient quantum communication using all-photonic graph states generated from a few matter qubits
• Deterministic Generation of Loss-Tolerant Photonic Cluster States with a Single Quantum Emitter
• Photonic resource state generation from a minimal number of quantum emitters
• All-photonic architectural roadmap for scalable quantum computing using Greenberger-Horne-Zeilinger states
• Entanglement distribution with minimal memory requirements using time-bin photonic qudits
• Fault-tolerant qubit from a constant number of components
• Multidimensional cluster states using a single spin-photon interface coupled strongly to an intrinsic nuclear register
• Deterministic generation of multidimensional photonic cluster states using time-delay feedback
• Modifying method of constructing quantum codes from highly entangled states

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• Time-bin entanglement in the deterministic generation of linear photonic cluster states
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• Linear-optical fusion boosted by high-dimensional entanglement
• Many-body quantum resources of graph states
• Fusion for High-Dimensional Linear Optical Quantum Computing with Improved Success Probability
• Exchange-Symmetrized Qudit Bell Bases and Bell-State Distinguishability
• On The Stabilizer Formalism And Its Generalization
• Non-symmetric GHZ states: weighted hypergraph and controlled-unitary graph representations
• Comparing Schemes for Creating Qudit Graph States from 16- & 128-dimensional Hilbert Space using Donors in Silicon
• Entanglement witnesses for stabilizer states and subspaces beyond qubits
• Absolutely maximally entangled pure states of multipartite quantum systems
• $\chi$-Colorable Graph States: Closed-Form Expressions and Quantum Orthogonal Arrays