Heralded Optical Entanglement Generation via the Graph Picture of Linear Quantum Networks
arXiv:2310.10291 · doi:10.22331/q-2024-12-18-1572
Abstract
Non-destructive heralded entanglement with photons is a valuable resource for quantum information processing. However, they generally entail ancillary particles and modes that amplify the circuit intricacy. To address this challenge, a recent work (\href{https://www.nature.com/articles/s41534-024-00845-6}{npj Quantum Information 10, 67 (2024)}) introduced a graph approach for creating multipartite entanglements with boson subtractions. Nonetheless, it remains an essential intermediate step toward practical heralded schemes: the proposition of heralded subtraction operators in bosonic linear quantum networks. This research establishes comprehensive translation rules from subtraction operators to linear optical operators, which provides a seamless path to design heralded schemes with single photons. Our method begets enhanced or previously unreported schemes for the -partite GHZ state with photons, -partite W state with photons and superposition of GHZ and W states with 9 photons. Our streamlined approach can straightforwardly design heralded schemes for multipartite entangled states by assembling the operators according to the guidence of sculpting bigraphs, hence significantly simplifies the quantum circuit design process.
arXiv comment18 pages, comments welcome; (v2) 19 pages; (v3) accepted by Quantum, Video summary: https://www.youtube.com/watch?v=Ot7sQyIDwZ4&t=8s
References in corpus (26)
- Quantum Cryptography
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Resource-efficient linear optical quantum computation
- Generalized Schmidt decomposition and classification of three-quantum-bit states
- How good must single photon sources and detectors be for efficient linear optical quantum computation?
- Heralded generation of entangled photon pairs
- Entanglement by Path Identity
- Integrated-optics heralded controlled-NOT gate for polarization-encoded qubits
- Entanglement of Identical Particles and the Detection Process
- Photonic source of heralded GHZ states
- Heralded non-destructive quantum entangling gate with single-photon sources
- Improved Heralded Schemes to Generate Entangled States From Single Photons
- Entangling three qubits without ever touching
- Entangling Bosons through Particle Indistinguishability and Spatial Overlap
- Lectures on Quantum Tensor Networks
- Hard limits on the postselectability of optical graph states
- Fiber-compatible photonic feed-forward with 99% fidelity
- Entangling three identical particles via spatial overlap
- Entanglement in Graph States and its Applications
- Fourier Transform of the Orbital Angular Momentum of a Single Photon
- Shortcut to Multipartite Entanglement Generation: A Graph Approach to Boson Subtractions
- Heralded preparation of polarization entanglement via quantum scissors
- Sculpting out quantum correlations with bosonic subtraction
- Exponentially Enhanced Scheme for the Heralded Qudit GHZ State in Linear Optics
- Sculpting bosonic states with arithmetic subtractions
- Efficient Graph State Generation in Linear Optics