A comparative study of higher-order nonclassicalities of
photon-added-then-subtracted and photon-subtracted-then-added quantum states
- URL: http://arxiv.org/abs/2305.06598v1
- Date: Thu, 11 May 2023 06:40:44 GMT
- Title: A comparative study of higher-order nonclassicalities of
photon-added-then-subtracted and photon-subtracted-then-added quantum states
- Authors: Deepak and Arpita Chatterjee
- Abstract summary: We have studied the higher as well as the lower-order nonclassicalities of photon-added-then-subtracted and photon-subtracted-then-added thermal and even coherent states.
- Score: 3.42658286826597
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In the present paper, we have studied the higher as well as the lower-order
nonclassicalities of photon-added-then-subtracted and
photon-subtracted-then-added thermal and even coherent states. Different
criteria such as Mandel's function ($Q_M^{(l)}$), higher-order antibunching
($d_h^{(l-1)}$), sub-Poissonian photon statistics ($D_h^{(l-1)}$), higher-order
squeezing ($S^{(l)}$), Husimi function ($Q$), Agarwal-Tara criteria ($A_3$) and
Klyshko's condition ($B(m)$) are used to witness the nonclassical feature of
these states. Many of these conditions established that the considered states
are highly nonclassical. It is also realized that the non-Gaussian
photon-addition-then-subtraction operation is preferred over the
photon-subtraction-then-addition for developing nonclassicality.
Related papers
- Scattering Neutrinos, Spin Models, and Permutations [42.642008092347986]
We consider a class of Heisenberg all-to-all coupled spin models inspired by neutrino interactions in a supernova with $N$ degrees of freedom.
These models are characterized by a coupling matrix that is relatively simple in the sense that there are only a few, relative to $N$, non-trivial eigenvalues.
arXiv Detail & Related papers (2024-06-26T18:27:15Z) - High-Temperature Gibbs States are Unentangled and Efficiently Preparable [22.397920564324973]
We show that thermal states of local Hamiltonians are separable above a constant temperature.
This sudden death of thermal entanglement upends conventional wisdom about the presence of short-range quantum correlations in Gibbs states.
arXiv Detail & Related papers (2024-03-25T15:11:26Z) - Lower-vs-Higher Order Non-classicality of Photon-added Bell-type
Entangled Coherent States [3.42658286826597]
We obtain Mandel's $Q_ml$, antibunching $d_hl-1$, Subpoissioning photon statistics $D_h(l-1)$ and Squeezing $S(l)$ for the states obtained.
Also the fourth or last criterion $S(l)$ gives non-classicality for lower order as well as higher order.
arXiv Detail & Related papers (2023-05-29T14:38:53Z) - Detecting nonclassicality and non-Gaussianity of a coherent superposed
quantum state [3.42658286826597]
We investigate the nonclassicality and non-Gaussianity of a coherent superposed quantum state (CSQS)
We use different criteria to check the nonclassicality and non-Gaussianity of the considered quantum state.
arXiv Detail & Related papers (2023-04-11T14:54:41Z) - Lower- versus higher-order nonclassicalities for a coherent superposed
quantum state [3.42658286826597]
We describe a superposition $(ta+radagger)$ of field annihilation and creation operators acting on a continuous variable coherent state.
It is found that higher-order criteria are much more efficient to detect the presence of nonclassicality as compared to lower-order conditions.
arXiv Detail & Related papers (2023-04-11T08:21:57Z) - Concentration bounds for quantum states and limitations on the QAOA from
polynomial approximations [17.209060627291315]
We prove concentration for the following classes of quantum states: (i) output states of shallow quantum circuits, answering an open question from [DPMRF22]; (ii) injective matrix product states, answering an open question from [DPMRF22]; (iii) output states of dense Hamiltonian evolution, i.e. states of the form $eiota H(p) cdots eiota H(1) |psirangle for any $n$-qubit product state $|psirangle$, where each $H(
arXiv Detail & Related papers (2022-09-06T18:00:02Z) - Quantum density matrix theory for a laser without adiabatic elimination
of the population inversion: transition to lasing in the class-B limit [62.997667081978825]
No class-B quantum density-matrix model is available to date, capable of accurately describing coherence and photon correlations within a unified theory.
Here we carry out a density-matrix theoretical approach for generic class-B lasers, and provide closed equations for the photonic and atomic reduced density matrix in the Fock basis of photons.
This model enables the study of few-photon bifurcations and non-classical photon correlations in class-B laser devices, also leveraging quantum descriptions of coherently coupled nanolaser arrays.
arXiv Detail & Related papers (2022-05-26T16:33:51Z) - 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) - Average-case Speedup for Product Formulas [69.68937033275746]
Product formulas, or Trotterization, are the oldest and still remain an appealing method to simulate quantum systems.
We prove that the Trotter error exhibits a qualitatively better scaling for the vast majority of input states.
Our results open doors to the study of quantum algorithms in the average case.
arXiv Detail & Related papers (2021-11-09T18:49:48Z) - The Lasso with general Gaussian designs with applications to hypothesis
testing [21.342900543543816]
The Lasso is a method for high-dimensional regression.
We show that the Lasso estimator can be precisely characterized in the regime in which both $n$ and $p$ are large.
arXiv Detail & Related papers (2020-07-27T17:48:54Z) - Higher-Order Nonclassicality in Photon Added and Subtracted Qudit States [0.9208007322096533]
We show how addition and subtraction of photon can be used to engineer higher-order nonclassical properties of qudit states.
A particular type of qudit state named as a new generalized binomial state is used as an example.
arXiv Detail & Related papers (2020-06-03T10:44:46Z)
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.