Automated modal analysis of entanglement with bipartite self-configuring optics
- URL: http://arxiv.org/abs/2407.16849v1
- Date: Tue, 23 Jul 2024 21:24:22 GMT
- Title: Automated modal analysis of entanglement with bipartite self-configuring optics
- Authors: Charles Roques-Carmes, Aviv Karnieli, David A. B. Miller, Shanhui Fan,
- Abstract summary: In coupled systems of light and matter, entanglement manifests itself in the linear superposition of multipartite quantum states.
Schmidt decomposition provides a modal decomposition of the entanglement structure over independent, separable states.
Here, we propose a method that relies on bipartite self-configuring optics that automatically "learns" the Schmidt decomposition of an arbitrary pure quantum state.
- Score: 0.1874930567916036
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entanglement is a unique feature of quantum mechanics. In coupled systems of light and matter, entanglement manifests itself in the linear superposition of multipartite quantum states (e.g., parametrized by the multiple spatial, spectral, or temporal degrees of freedom of a light field). In bipartite systems, the Schmidt decomposition provides a modal decomposition of the entanglement structure over independent, separable states. Although ubiquitous as a tool to describe and measure entanglement, there exists no general method to decompose a bipartite quantum state onto its Schmidt modes. Here, we propose a method that relies on bipartite self-configuring optics that automatically "learns" the Schmidt decomposition of an arbitrary pure quantum state. Our method is agnostic to the degrees of freedom over which quantum entanglement is distributed and can reconstruct the Schmidt modes and values by variational optimization of the network's output powers or coincidences. We illustrate our method with numerical examples of spectral entanglement analysis for biphotons generated via spontaneous parametric down conversion and provide experimental guidelines for its realization, including the influence of losses and impurities. Our method provides a versatile and scalable way of analyzing entanglement in bipartite integrated quantum photonic systems.
Related papers
- Few-Body Quantum Chaos, Localization, and Multi-Photon Entanglement in Optical Synthetic Frequency Dimension [12.86091921421344]
We propose a novel approach to generate controllable frequency-entangled photons by using the concept of synthetic frequency dimension in an optical system.
This work is the first to explore rich and controllable quantum phases beyond single particle in a synthetic dimension.
arXiv Detail & Related papers (2024-06-11T15:14:21Z) - Non-Markovian bath-induced coupling revealed by two-dimensional
spectroscopy [0.0]
We show that there can be coherent coupling between different system states of a form that only occurs in a non-Markovian treatment of the bath.
Because this involves entangled system-bath states, we demonstrate that there are distinct signatures of this physics in simple absorption spectra and two-dimensional electronic spectroscopy.
arXiv Detail & Related papers (2024-02-23T17:29:57Z) - Quantum Tensor Product Decomposition from Choi State Tomography [0.0]
We present an algorithm for unbalanced partitions into a small subsystem and a large one (the environment) to compute the tensor product decomposition of a unitary.
This quantum algorithm may be used to make predictions about operator non-locality, effective open quantum dynamics on a subsystem, as well as for finding low-rank approximations and low-depth compilations of quantum circuit unitaries.
arXiv Detail & Related papers (2024-02-07T16:36:47Z) - Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent
and Incoherent Photons Found with Gradient Search [77.34726150561087]
We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control.
We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
arXiv Detail & Related papers (2023-02-28T07:36:02Z) - Experimental realization of deterministic and selective photon addition
in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss.
Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states.
Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
arXiv Detail & Related papers (2022-12-22T23:32:21Z) - Modeling of Multimodal Scattering by Conducting Bodies in Quantum
Optics: the Method of Characteristic Modes [0.0]
We give the quantum adaptation of the characteristic mode approach widely used in the classical electrodynamics.
We show how scattering affects quantum-statistical features of the field.
We expect that this method will be useful for designing quantum-optical devices.
arXiv Detail & Related papers (2021-12-17T14:25:59Z) - Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity.
This enables an exact description of the full dynamics and dissipative spectrum.
Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
arXiv Detail & Related papers (2021-09-27T17:45:42Z) - Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables.
In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
arXiv Detail & Related papers (2021-02-18T20:55:04Z) - Hyperentanglement in structured quantum light [50.591267188664666]
Entanglement in high-dimensional quantum systems, where one or more degrees of freedom of light are involved, offers increased information capacities and enables new quantum protocols.
Here, we demonstrate a functional source of high-dimensional, noise-resilient hyperentangled states encoded in time-frequency and vector-vortex structured modes.
We generate highly entangled photon pairs at telecom wavelength that we characterise via two-photon interference and quantum state tomography, achieving near-unity visibilities and fidelities.
arXiv Detail & Related papers (2020-06-02T18:00:04Z) - Engineering continuous and discrete variable quantum vortex states by
nonlocal photon subtraction in a reconfigurable photonic chip [0.0]
We study the production of entangled two- and N-mode quantum states of light in optical waveguides.
We propose a quantum photonic circuit that produces a reconfigurable superposition of photon subtraction on two single-mode squeezed states.
arXiv Detail & Related papers (2020-04-11T11:11:16Z) - Einselection from incompatible decoherence channels [62.997667081978825]
We analyze an open quantum dynamics inspired by CQED experiments with two non-commuting Lindblad operators.
We show that Fock states remain the most robust states to decoherence up to a critical coupling.
arXiv Detail & Related papers (2020-01-29T14:15:19Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.