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 (58)

• Quantum entanglement
• The Quantum Internet
• Quantum sensing
• Quantum secret sharing
• Review article: Linear optical quantum computing
• The nitrogen-vacancy colour centre in diamond
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Quantum Communication
• Multi-party entanglement in graph states
• Advances in High Dimensional Quantum Entanglement
• All photonic quantum repeaters
• Qudits and high-dimensional quantum computing
• Efficient long distance quantum communication
• 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
• Experimental demonstration of a hyper-entangled ten-qubit Schrödinger cat state
• Sequential generation of entangled multi-qubit states
• A photonic cluster state machine gun
• Graphical description of the action of local Clifford transformations on graph states
• High-fidelity spin and optical control of single silicon vacancy centres in silicon carbide
• Quantum Gates and Memory using Microwave Dressed States
• Absolute Maximal Entanglement and Quantum Secret Sharing
• Photonic tensor networks produced by a single quantum emitter
• Absolutely Maximally Entangled states, combinatorial designs and multi-unitary matrices
• Optically generated 2-dimensional photonic cluster state from coupled quantum dots
• Absolutely maximally entangled states of seven qubits do not exist
• Quantum properties of dichroic silicon vacancies in silicon carbide
• Photon-Mediated Quantum Gate between Two Trapped Neutral Atoms in an Optical Cavity
• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
• Deterministic generation of all-photonic quantum repeaters from solid-state emitters
• Nonlinear interaction between two heralded single photons
• Entanglement and quantum combinatorial designs
• Scalable Generation of Graph-State Entanglement through Realistic Linear Optics
• Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
• Deterministic generation of large-scale entangled photonic cluster state from interacting solid state emitters
• Efficient preparation and detection of microwave dressed-state qubits and qutrits with trapped ions
• Simple Manipulation of a Microwave Dressed-State Ion Qubit
• Measurement-based Quantum Communication
• 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
• Constructing optimal quantum error correcting codes from absolute maximally entangled states
• Quantum circuits for maximally entangled states
• Towards a source of multi-photon entangled states for linear optical quantum computing
• Photonic resource state generation from a minimal number of quantum emitters
• Generation of arbitrary all-photonic graph states from quantum emitters
• All-photonic architectural roadmap for scalable quantum computing using Greenberger-Horne-Zeilinger states
• One way quantum repeaters with quantum Reed-Solomon codes
• Fault-tolerant qubit from a constant number of components
• Entanglement distribution with minimal memory requirements using time-bin photonic qudits
• Multidimensional cluster states using a single spin-photon interface coupled strongly to an intrinsic nuclear register
• Constructions of k-uniform and absolutely maximally entangled states beyond maximum distance codes
• Deterministic generation of multidimensional photonic cluster states using time-delay feedback
• Absolutely maximally entangled states, quantum maximum distance separable codes, and quantum repeaters
• Modifying method of constructing quantum codes from highly entangled states
• Multipartite entanglement in qubit systems
• Creating Maximally Entangled States by Gluing

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• Absolutely maximally entangled pure states of multipartite quantum systems
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