Toolbox for non-classical state calculations
- URL: http://arxiv.org/abs/2107.11129v2
- Date: Wed, 17 Nov 2021 08:02:21 GMT
- Title: Toolbox for non-classical state calculations
- Authors: Filippus S. Roux
- Abstract summary: Computational challenges associated with the use of Wigner functions to identify non-classical properties of states are addressed.
It allows the computation of the Wigner functions of photon-subtracted states for an arbitrary number of subtracted photons.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Computational challenges associated with the use of Wigner functions to
identify non-classical properties of states are addressed with the aid of
generating functions. It allows the computation of the Wigner functions of
photon-subtracted states for an arbitrary number of subtracted photons. Both
the formal definition of photon-subtracted states in terms of ladder operators
and the experimental implementation with heralded photon detections are
analyzed. These techniques are demonstrated by considering photon subtraction
from squeezed thermal states as well as squeezed Fock states. Generating
functions are also used for the photon statistics of these states. These
techniques reveal various aspects of the parameter dependences of these states.
Related papers
- Spatiotemporal effects in heralded state preparation [0.0]
General expressions are derived for single-photo-subn-tracted and single-photo-n-added states.
The Wigner functional approach reveals the importance of thetemporal transformations imposed by the experimental conditions.
arXiv Detail & Related papers (2024-04-08T07:08:10Z) - Nonclassicality of photon-added-then-subtracted and
photon-subtracted-then-added states [0.0]
We formulate the density matrices of a quantum state obtained by first adding multi-photons to and then subtracting multi-photons from any arbitrary state.
Considering the field to be initially in a thermal (or in an even coherent) state, we evaluate the photon number distribution, Wigner function and Mandel's $Q$ parameter of the resulting field.
arXiv Detail & Related papers (2023-04-11T16:30:15Z) - Two-mode photon-added entangled coherent states and their entanglement
properties [0.0]
An entangled quantum state is considered by applying a local photon excitation to each mode of an entangled coherent state.
It is shown that applying a photon addition can improve the amount of entanglement.
arXiv Detail & Related papers (2023-04-11T08:50:51Z) - Learning Energy-Based Representations of Quantum Many-Body States [14.781921087738969]
An ideal representation of a quantum state combines a succinct characterization informed by the system's structure and symmetries, along with the ability to predict the physical observables of interest.
Here, we propose a new generative energy-based representation of quantum many-body states derived from Gibbs distributions used for modeling the thermal states of classical spin systems.
Our results show that such a representation can be efficiently learned from data using exact algorithms in a form that enables the prediction of expectation values of physical observables.
arXiv Detail & Related papers (2023-04-08T16:01:44Z) - Two Mode Photon Added Schr\"odinger Cat States: Nonclassicality and
Entanglement [0.0]
The concept of photon added two-mode Schr"odinger cat states in which both modes are independent introduced, their non-classical properties and entanglement are studied.
We observe that the state approaches the maximum entanglement more rapidly after the addition of photons.
arXiv Detail & Related papers (2022-01-30T21:37:50Z) - Robust preparation of Wigner-negative states with optimized
SNAP-displacement sequences [41.42601188771239]
We create non-classical states of light in three-dimensional microwave cavities.
These states are useful for quantum computation.
We show that this way of creating non-classical states is robust to fluctuations of the system parameters.
arXiv Detail & Related papers (2021-11-15T18:20:38Z) - Un-symmetric photon subtraction: a method for generating high photon
number states and their relevance to loss estimation at ultimate quantum
limit [0.0]
We have studied theoretical un-symmetric multi-photon subtracted twin beam state and demonstrated a method for generating states that resembles to high photon number states.
A crucial point is high non-classicality is obtained by photon subtraction when mean photons per mode of twin beam state is low.
arXiv Detail & Related papers (2021-10-03T23:28:47Z) - Spectrum Gaussian Processes Based On Tunable Basis Functions [15.088239458693003]
We introduce a novel basis function, which is tunable, local and bounded, to approximate the kernel function in the Gaussian process.
We conduct extensive experiments on open-source datasets to testify its performance.
arXiv Detail & Related papers (2021-07-14T03:51:24Z) - Conditional preparation of non-Gaussian quantum optical states by
mesoscopic measurement [62.997667081978825]
Non-Gaussian states of an optical field are important as a proposed resource in quantum information applications.
We propose a novel approach involving displacement of the ancilla field into the regime where mesoscopic detectors can be used.
We conclude that states with strong Wigner negativity can be prepared at high rates by this technique under experimentally attainable conditions.
arXiv Detail & Related papers (2021-03-29T16:59:18Z) - Gaussian State-Based Quantum Illumination with Simple Photodetection [13.250854610190078]
We show that quantum illumination is better for object detection compared with coherent states of the same mean photon number.
The advantage persists if signal energy and object reflectivity are low and background thermal noise is high.
arXiv Detail & Related papers (2020-11-27T14:45:29Z) - Kernel Method based on Non-Linear Coherent State [10.557942353553859]
We re-interpret the process of encoding inputs in quantum states as a non-linear feature map.
Non-linear coherent states can be considered as natural generalisation of associated kernels.
We study impact of geometrical properties of feature space, obtaining by non-linear coherent states, on the SVM classification task.
arXiv Detail & Related papers (2020-07-15T05:07:44Z)
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.