No-go theorems for photon state transformations in quantum linear optics
arXiv:2307.11478 · doi:10.1016/j.rinp.2023.107108
Abstract
We give a necessary condition for photon state transformations in linear optical setups preserving the total number of photons. From an analysis of the algebra describing the quantum evolution, we find a conserved quantity that appears in all allowed optical transformations. We comment some examples and numerical applications, with example code, and give three general no-go results. These include (i) the impossibility of deterministic transformations which redistribute the photons from one to two different modes, (ii) a proof that it is impossible to generate a perfect Bell state in heralded schemes with a separable input for any number of ancillary photons and modes and a fixed herald and (iii) a restriction for the conversion between different types of entanglement (converting GHZ to W states).
arXiv comment18 pages. Comments welcome!
References in corpus (28)
- Quantum sensing
- Advances in Quantum Metrology
- Three qubits can be entangled in two inequivalent ways
- Review article: Linear optical quantum computing
- A Two-Step Quantum Direct Communication Protocol Using Einstein-Podolsky-Rosen Pair Block
- Resource-efficient linear optical quantum computation
- A Quantum Rosetta Stone for Interferometry
- Active learning machine learns to create new quantum experiments
- Machine learning for long-distance quantum communication
- A Linear-Optical Proof that the Permanent is #P-Hard
- Computer-inspired concept for high-dimensional multipartite quantum gates
- Simple factorization of unitary transformations
- Strong Violations of Bell-type Inequalities for Path-Entangled Number States
- Demonstration of efficient scheme for generation of "Event Ready" entangled photon pairs from single photon source
- Machine Learning meets Quantum Foundations: A Brief Survey
- Efficient Quantum Network Communication using Optimized Entanglement-Swapping Trees
- A search algorithm for quantum state engineering and metrology
- The feasible generation of entangled photon states by using linear optical elements
- Generation of Universal Linear Optics by Any Beamsplitter
- General linear-optical quantum state generation scheme: Applications to maximally path-entangled states
- Explicit effective Hamiltonians for general linear quantum-optical networks
- Generation of different Bell states within the SPDC phase-matching bandwidth
- Generating entanglement with linear optics
- Which multiphoton states are related via linear optics?
- Linear optics only allows every possible quantum operation for one photon or one port
- A method to determine which quantum operations can be realized with linear optics with a constructive implementation recipe
- Multiple photon Hamiltonian in linear quantum optical networks
- QOptCraft: A Python package for the design and study of linear optical quantum systems
Cited by in corpus (6)
- Multiphoton, multimode state classification for nonlinear optical circuits
- Complexity of quantum tomography from genuine non-Gaussian entanglement
- Observation of Lie algebraic invariants in Quantum Linear Optics
- Multipartite entanglement classes of a multiport beam-splitter
- Rigorous no-go theorems for heralded linear-optical state generation tasks
- The symplectic rank of non-Gaussian quantum states