Multiphoton, multimode state classification for nonlinear optical circuits
arXiv:2502.05123 · doi:10.1103/sv6z-v1gk
Abstract
We introduce a new classification of multimode states with a fixed number of photons. This classification is based on the factorizability of homogeneous multivariate polynomials and is invariant under unitary transformations. The classes physically correspond to field excitations in terms of single and multiple photons, each of which being in an arbitrary irreducible superposition of quantized modes. We further show how the transitions between classes are rendered possible by photon addition, photon subtraction, and photon-projection nonlinearities. We explicitly put forward a design for a multilayer interferometer in which the states for different classes can be generated with state-of-the-art experimental techniques. Limitations of the proposed designs are analyzed using the introduced classification, providing a benchmark for the robustness of certain states and classes.
12 pages, 6 figures
References in corpus (28)
- Review article: Linear optical quantum computing
- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
- Tensor networks for complex quantum systems
- Boson sampling with 20 input photons in 60-mode interferometers at state spaces
- 12-photon entanglement and scalable scattershot boson sampling with optimal entangled-photon pairs from parametric down-conversion
- Schmidt modes in the angular spectrum of bright squeezed vacuum
- 20-Mode Universal Quantum Photonic Processor
- Simple factorization of unitary transformations
- Entanglement Equivalence of -qubit Symmetric States
- Majorana representation of symmetric multiqubit states
- Polynomial invariants for discrimination and classification of four-qubit entanglement
- Quantum state engineering by click counting
- Conceptual understanding through efficient inverse-design of quantum optical experiments
- Tensor network states in time-bin quantum optics
- Improved Heralded Schemes to Generate Entangled States From Single Photons
- Proposal for Quantum Simulation via All-Optically Generated Tensor Network States
- Photon-by-photon quantum light state engineering
- Mode-independent quantum entanglement for light
- Non-linear Boson Sampling
- Generating entanglement with linear optics
- Which multiphoton states are related via linear optics?
- Strong Simulation of Linear Optical Processes
- Canonical forms of two-qubit states under local operations
- Quantum photonics with active feedback loops
- No-go theorems for photon state transformations in quantum linear optics
- The numerical factorization of polynomials
- Entanglement of particles versus entanglement of fields: independent quantum resources
- Quantum walks and entanglement in cavity networks