Tighter monogamy relations in multiparty quantum systems
- URL: http://arxiv.org/abs/2205.11972v1
- Date: Tue, 24 May 2022 11:15:25 GMT
- Title: Tighter monogamy relations in multiparty quantum systems
- Authors: Hui Li, Ting Gao, Fengli Yan
- Abstract summary: We investigate tight monogamy relations of multiparty quantum entanglement for any quantum state.
We establish a class of tighter monogamy relations in tripartite quantum systems by means of the new inequality.
- Score: 3.3986886334340616
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate tight monogamy relations of multiparty quantum entanglement
for any quantum state in this paper. First, we obtain a class of lower bounds
for multiparty quantum systems which improve the previous results. Next, we
establish a class of tighter monogamy relations in tripartite quantum systems
by means of the new inequality. Furthermore, we generalize this relations to
multiparty quantum systems. And then we prove the lower bounds we obtained are
larger than the existing ones. Detailed examples are provided at last.
Related papers
- The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the extreme multimode bosonic Gaussian channels [53.253900735220796]
Inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes.
Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
arXiv Detail & Related papers (2024-10-18T13:59:50Z) - Tighter parameterized monogamy relations [6.408200192709026]
We seek a systematic tightening method to represent the monogamy relation for some measure in multipartite quantum systems.
By introducing a family of parametrized bounds, we obtain tighter lowering bounds for the monogamy relation compared with the most recently discovered relations.
arXiv Detail & Related papers (2024-07-25T15:34:49Z) - One-Shot Min-Entropy Calculation And Its Application To Quantum Cryptography [21.823963925581868]
We develop a one-shot lower bound calculation technique for the min-entropy of a classical-quantum state.
It gives an alternative tight finite-data analysis for the well-known BB84 quantum key distribution protocol.
It provides a security proof for a novel source-independent continuous-variable quantum random number generation protocol.
arXiv Detail & Related papers (2024-06-21T15:11:26Z) - General monogamy and polygamy relations of arbitrary quantum
correlations for multipartite systems [0.0]
General monogamy relations are presented for the $alpha$th $(0leqalpha leqgamma$, $gammageq2)$ power of quantum correlation.
General polygamy relations are given for the $beta$th $(betageq delta$, $0leqdeltaleq1)$ power of quantum correlation.
arXiv Detail & Related papers (2023-12-15T03:29:30Z) - Quantum Speed Limit for Change of Basis [55.500409696028626]
We extend the notion of quantum speed limits to collections of quantum states.
For two-qubit systems, we show that the fastest transformation implements two Hadamards and a swap of the qubits simultaneously.
For qutrit systems the evolution time depends on the particular type of the unbiased basis.
arXiv Detail & Related papers (2022-12-23T14:10:13Z) - Quantum nonreciprocal interactions via dissipative gauge symmetry [18.218574433422535]
One-way nonreciprocal interactions between two quantum systems are typically described by a cascaded quantum master equation.
We present a new approach for obtaining nonreciprocal quantum interactions that is completely distinct from cascaded quantum systems.
arXiv Detail & Related papers (2022-03-17T15:34:40Z) - Tighter Constraints of Multipartite Systems in terms of General Quantum
Correlations [0.0]
We show that monogamy and polygamy relations are tighter than the existing ones.
Taking concurrence and the Tsallis-$q$ entanglement of assistance as examples, we show the advantages of our results.
arXiv Detail & Related papers (2022-02-04T17:33:16Z) - Genuine multipartite entanglement and quantum coherence in an
electron-positron system: Relativistic covariance [117.44028458220427]
We analyze the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts.
A given combination of these quantum resources is shown to form a Lorentz invariant.
arXiv Detail & Related papers (2021-11-26T17:22:59Z) - Tighter monogamy relations for the Tsallis-q and R\'{e}nyi-$\alpha$
entanglement in multiqubit systems [7.649038921524315]
We present some tighter monogamy relations in terms of the power of the Tsallis-q and R'enyi-$alpha$ entanglement in multipartite systems.
arXiv Detail & Related papers (2021-11-24T09:37:29Z) - Experimental violations of Leggett-Garg's inequalities on a quantum
computer [77.34726150561087]
We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems.
Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
arXiv Detail & Related papers (2021-09-06T14:35:15Z) - 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)
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.