A comparison between higher-order nonclassicalities of superposition
engineered coherent and thermal states
- URL: http://arxiv.org/abs/2204.06712v3
- Date: Thu, 13 Apr 2023 04:57:11 GMT
- Title: A comparison between higher-order nonclassicalities of superposition
engineered coherent and thermal states
- Authors: Deepak and Arpita Chatterjee
- Abstract summary: We report a comparative study between the higher-order nonclassical properties of SOCS and SOTS.
The existence of higher-order nonclassicalities in SOCS and SOTS have been investigated for the first time.
- Score: 3.42658286826597
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider an experimentally obtainable SUP operator, defined by using a
generalized superposition of products of field annihilation ($a$) and creation
($a^\dagger$) operators of the type, $A = saa^\dagger+t{a^\dagger}a$ with
$s^2+t^2=1$. We apply this SUP operator on coherent and thermal quantum states,
the states thus produced are referred as SUP-operated coherent state (SOCS) and
SUP-operated thermal state (SOTS), respectively. In the present work, we report
a comparative study between the higher-order nonclassical properties of SOCS
and SOTS. The comparison is performed by using a set of nonclassicality
witnesses (e.g., higher-order antiubunching, higher-order sub-Poissonian photon
statistics, higher-order squeezing, Agarwal-Tara parameter, Klyshko's
condition). The existence of higher-order nonclassicalities in SOCS and SOTS
have been investigated for the first time. In view of possible experimental
verification of the proposed scheme, we present exact calculations to reveal
the effect of non-unit quantum efficiency of quantum detector on higher-order
nonclassicalities.
Related papers
- Higher-order nonclassicalities in hybrid coherent states [0.0]
We consider a hybrid coherent state (HCS), which is a coherent superposition of the single-photon-added coherent (SPAC) state and a coherent state (CS)
It's shown that HCS is experimentally realizable, and this engineered quantum state can be used to produce quantum states with desired higher-order nonclassical properties.
arXiv Detail & Related papers (2024-02-06T10:11:11Z) - A Specialized Semismooth Newton Method for Kernel-Based Optimal
Transport [92.96250725599958]
Kernel-based optimal transport (OT) estimators offer an alternative, functional estimation procedure to address OT problems from samples.
We show that our SSN method achieves a global convergence rate of $O (1/sqrtk)$, and a local quadratic convergence rate under standard regularity conditions.
arXiv Detail & Related papers (2023-10-21T18:48:45Z) - A comparative study of higher-order nonclassicalities of
photon-added-then-subtracted and photon-subtracted-then-added quantum states [3.42658286826597]
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.
arXiv Detail & Related papers (2023-05-11T06:40:44Z) - 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) - Full counting statistics of interacting lattice gases after an
expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons.
FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
arXiv Detail & Related papers (2022-07-28T13:21:57Z) - Threshold size for the emergence of a classical-like behaviour [68.8204255655161]
We design a procedure to estimate the minimum size beyond which a system is amenable to a classical-like description.
The specific case of a magnetic system is considered, with details of a gedanken experiment presented and thoroughly commented.
arXiv Detail & Related papers (2022-03-25T11:31:14Z) - Deep Hierarchy in Bandits [51.22833900944146]
Mean rewards of actions are often correlated.
To maximize statistical efficiency, it is important to leverage these correlations when learning.
We formulate a bandit variant of this problem where the correlations of mean action rewards are represented by a hierarchical Bayesian model.
arXiv Detail & Related papers (2022-02-03T08:15:53Z) - 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) - Non-Markovian Stochastic Schr\"odinger Equation: Matrix Product State
Approach to the Hierarchy of Pure States [65.25197248984445]
We derive a hierarchy of matrix product states (HOMPS) for non-Markovian dynamics in open finite temperature.
The validity and efficiency of HOMPS is demonstrated for the spin-boson model and long chains where each site is coupled to a structured, strongly non-Markovian environment.
arXiv Detail & Related papers (2021-09-14T01:47:30Z) - 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.