Entanglement criterion via general symmetric informationally complete
measurement
- URL: http://arxiv.org/abs/2104.12704v1
- Date: Mon, 26 Apr 2021 16:44:27 GMT
- Title: Entanglement criterion via general symmetric informationally complete
measurement
- Authors: Jun Li and Lin Chen
- Abstract summary: We propose entanglement criteria for multipartite systems via symmetric informationally complete (SIC) measurement and general symmetric informationally complete (GSIC) measurement.
- Score: 13.755454713771352
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We propose entanglement criteria for multipartite systems via symmetric
informationally complete (SIC) measurement and general symmetric
informationally complete (GSIC) measurement. We apply these criteria to detect
entanglement of multipartite states, such as the convex of Bell states,
entangled states mixed with white noise. It is shown that these criteria are
stronger than some existing ones.
Related papers
- Schmidt number criterion via general symmetric informationally complete measurements [4.302984266310778]
We derive a Schmidt number criterion based on the trace norm of the correlation matrix obtained from the general symmetric informationally complete measurements.
We show that this Schmidt number criterion is more effective and superior than other criteria such as fidelity, CCNR, MUB, and EAM.
arXiv Detail & Related papers (2024-12-13T12:01:37Z) - Classification of joint quantum measurements based on entanglement cost of localization [42.72938925647165]
We propose a systematic classification of joint measurements based on entanglement cost.
We show how to numerically explore higher levels and construct generalizations to higher dimensions and multipartite settings.
arXiv Detail & Related papers (2024-08-01T18:00:01Z) - Informationally overcomplete measurements from generalized equiangular tight frames [0.0]
We introduce a class of informationally overcomplete POVMs that are generated by equiangular tight frames of arbitrary rank.
Our results show benefits of considering a single informationally overcomplete measurement over informationally complete collections of POVMs.
arXiv Detail & Related papers (2024-05-01T15:07:32Z) - Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [43.80709028066351]
Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.
This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
arXiv Detail & Related papers (2023-10-04T09:51:00Z) - Sufficient condition for universal quantum computation using bosonic
circuits [44.99833362998488]
We focus on promoting circuits that are otherwise simulatable to computational universality.
We first introduce a general framework for mapping a continuous-variable state into a qubit state.
We then cast existing maps into this framework, including the modular and stabilizer subsystem decompositions.
arXiv Detail & Related papers (2023-09-14T16:15:14Z) - Discrimination and certification of unknown quantum measurements [45.84205238554709]
We study the discrimination of von Neumann measurements in the scenario when we are given a reference measurement and some other measurement.
We consider the cases when the reference measurement is given without the classical description and when its classical description is known.
arXiv Detail & Related papers (2023-01-12T11:38:24Z) - High-dimensional entanglement certification: bounding relative entropy
of entanglement in $2d+1$ experiment-friendly measurements [77.34726150561087]
Entanglement -- the coherent correlations between parties in a quantum system -- is well-understood and quantifiable.
Despite the utility of such systems, methods for quantifying high-dimensional entanglement are more limited and experimentally challenging.
We present a novel certification method whose measurement requirements scale linearly with dimension subsystem.
arXiv Detail & Related papers (2022-10-19T16:52:21Z) - General Schemes for Quantum Entanglement and Steering Detection [0.0]
We propose a general method to detect entanglement via arbitrary measurement $boldsymbolX$.
A concept of measurement orbit, which plays an important role in the detection of entanglement and steering, is introduced.
arXiv Detail & Related papers (2022-08-17T16:33:31Z) - All classes of informationally complete symmetric measurements in finite
dimensions [0.0]
A broad class of informationally complete symmetric measurements is introduced.
It can be understood as a common generalization of symmetric, informationally complete POVMs and mutually unbiased bases.
arXiv Detail & Related papers (2021-11-15T22:00:06Z) - Entanglement Witnesses Based on Symmetric Informationally Complete
Measurements [3.179191296550385]
We study entanglement witness and present a construction of entanglement witnesses in terms of symmetric informationally complete measurements (SIC-POVM)
It can be found this witness detects more entanglement than previous separability method given also by SIC-POVM.
arXiv Detail & Related papers (2020-11-03T13:47:06Z) - Generalized Sliced Distances for Probability Distributions [47.543990188697734]
We introduce a broad family of probability metrics, coined as Generalized Sliced Probability Metrics (GSPMs)
GSPMs are rooted in the generalized Radon transform and come with a unique geometric interpretation.
We consider GSPM-based gradient flows for generative modeling applications and show that under mild assumptions, the gradient flow converges to the global optimum.
arXiv Detail & Related papers (2020-02-28T04:18:00Z)
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.