Entanglement of formation and monogamy of multi-party quantum
entanglement
- URL: http://arxiv.org/abs/2101.05590v1
- Date: Thu, 14 Jan 2021 13:49:58 GMT
- Title: Entanglement of formation and monogamy of multi-party quantum
entanglement
- Authors: Jeong San Kim
- Abstract summary: We show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF.
We generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We provide a sufficient condition for the monogamy inequality of multi-party
quantum entanglement of arbitrary dimensions in terms of entanglement of
formation. Based on the classical-classical-quantum(ccq) states whose quantum
parts are obtained from the two-party reduced density matrices of a three-party
quantum state, we show the additivity of the mutual information of the ccq
states guarantees the monogamy inequality of the three-party pure state in
terms of EoF. After illustrating the result with some examples, we generalize
our result of three-party systems into any multi-party systems of arbitrary
dimensions.
Related papers
- Multipartite Embezzlement of Entanglement [44.99833362998488]
Embezzlement of entanglement refers to the task of extracting entanglement from an entanglement resource via local operations and without communication.
We show that finite-dimensional approximations of multipartite embezzling states form multipartite embezzling families.
We discuss our results in the context of quantum field theory and quantum many-body physics.
arXiv Detail & Related papers (2024-09-11T22:14:22Z) - Absolute dimensionality of quantum ensembles [41.94295877935867]
The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis.
We propose an absolute, i.e.basis-independent, notion of dimensionality for ensembles of quantum states.
arXiv Detail & Related papers (2024-09-03T09:54:15Z) - Local unitary equivalence of arbitrary-dimensional multipartite quantum
states [19.34942152423892]
Local unitary equivalence is an ingredient for quantifying and classifying entanglement.
We find a variety of local unitary invariants for arbitrary-dimensional bipartite quantum states.
We apply these invariants to estimate concurrence, a vital entanglement measure.
arXiv Detail & Related papers (2024-02-21T02:57:46Z) - Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
We propose a measurement-device-independent (MDI) test for beyond-quantum state detection.
We discuss the importance of tomographic completeness of the input sets to the detection.
arXiv Detail & Related papers (2023-12-11T06:40:13Z) - Symmetry and Classification of Multipartite Entangled States [0.0]
dissertation covers various aspects of entanglement in multipartite states and the role of symmetry in such systems.
We establish a connection between the classification of multipartite entanglement and knot theory and investigate the family of states that are resistant to particle loss.
arXiv Detail & Related papers (2022-04-28T12:13:21Z) - Beyond the entanglement of qubit pair in a mixed state [0.0]
Given a multipartite quantum system that consists of two-level particles (qubits), one may or may not have access to all the subsystems.
Monogamy constraints, reported in this letter, are relations between well known entanglement measures such as one-tangle, two-tangles and three-tangles of an N-qubit pure state.
arXiv Detail & Related papers (2021-11-15T15:22:23Z) - Experimental Entanglement Quantification for Unknown Quantum States in a
Semi-Device-Independent Manner [5.3331673690188]
We show that quantum entanglement can be quantified for any unknown quantum states in a semi-device-independent manner.
We experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems.
arXiv Detail & Related papers (2020-10-19T12:54:25Z) - Robust phase estimation of Gaussian states in the presence of outlier
quantum states [21.22196305592545]
We first present a statistical framework of robust statistics in a quantum system to handle outlier quantum states.
We then apply the method of M-estimators to suppress untrusted measurement outcomes due to outlier quantum states.
arXiv Detail & Related papers (2020-08-05T04:57:02Z) - Unified monogamy relation of entanglement measures [4.33804182451266]
Various monogamy relations exist for different entanglement measures that are important in quantum information processing.
We propose a general monogamy inequality for all entanglement measures on entangled qubit systems.
These results are useful for exploring the entanglement theory, quantum information processing and secure quantum communication.
arXiv Detail & Related papers (2020-07-09T02:51:27Z) - Projection based lower bounds of concurrence for multipartite quantum
systems [1.4550422197805504]
We study the concurrence of arbitrary-dimensional multipartite quantum states.
By detailed examples we show that our results improve the existing lower bounds of concurrence.
arXiv Detail & Related papers (2020-04-28T03:44:04Z) - Characterizing multipartite entanglement by violation of CHSH
inequalities [15.437374103470939]
Entanglement of high-dimensional and multipartite quantum systems offer promising perspectives in quantum information processing.
We consider the overlaps between the maximal quantum mean values and the classical bound of the CHSH inequalities for pairwise-qubit states in two-dimensional subspaces.
We show that the concurrence of a pure state in any high-dimensional multipartite system can be equivalently represented by these overlaps.
arXiv Detail & Related papers (2020-03-19T16:07:07Z)
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.