Complementary Quantum Correlations among Multipartite Systems
- URL: http://arxiv.org/abs/2002.04456v2
- Date: Mon, 5 Oct 2020 08:28:28 GMT
- Title: Complementary Quantum Correlations among Multipartite Systems
- Authors: Zhi-Xiang Jin, Shao-Ming Fei, Cong-Feng Qiao
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the monogamy and polygamy relations related to quantum correlations
for multipartite quantum systems. General monogamy relations are presented for
the $\alpha$th $(0\leq\alpha \leq\gamma, \gamma\geq2)$ power of quantum
correlation, and general polygamy relations are given for the $\beta$th
$(\beta\geq \delta, 0\leq\delta\leq1)$ power of quantum correlation. These
monogamy and polygamy inequalities are complementary to the existing ones with
different parameter regions of $\alpha$ and $\beta$. Applying these results to
specific quantum correlations, the corresponding new classes of monogamy and
polygamy relations are obtained, which include the existing ones as special
cases. Detailed examples are given.
Related papers
- The Power of Unentangled Quantum Proofs with Non-negative Amplitudes [55.90795112399611]
We study the power of unentangled quantum proofs with non-negative amplitudes, a class which we denote $textQMA+(2)$.
In particular, we design global protocols for small set expansion, unique games, and PCP verification.
We show that QMA(2) is equal to $textQMA+(2)$ provided the gap of the latter is a sufficiently large constant.
arXiv Detail & Related papers (2024-02-29T01:35:46Z) - Weighted monogamy and polygamy relations [7.867858589759733]
We show that whenever a bound is given (named it monogamy or polygamy) our bound indexed by some parameter $s$ will always be stronger than the given bound derived from the base relation.
The study includes detailed examples, highlighting that our findings exhibit greater strength across all existing cases in comparison.
arXiv Detail & Related papers (2024-02-21T23:19:02Z) - 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) - Observing super-quantum correlations across the exceptional point in a
single, two-level trapped ion [48.7576911714538]
In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively.
Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$.
These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
arXiv Detail & Related papers (2023-04-24T19:44:41Z) - An Exponential Separation Between Quantum Query Complexity and the
Polynomial Degree [79.43134049617873]
In this paper, we demonstrate an exponential separation between exact degree and approximate quantum query for a partial function.
For an alphabet size, we have a constant versus separation complexity.
arXiv Detail & Related papers (2023-01-22T22:08:28Z) - Geometric relative entropies and barycentric Rényi divergences [16.385815610837167]
monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure.
We show that monotone quantum relative entropies define monotone R'enyi quantities whenever $P$ is a probability measure.
arXiv Detail & Related papers (2022-07-28T17:58:59Z) - Monogamy and polygamy relations of quantum correlations for multipartite
systems [1.6353216381658506]
We study the monogamy and polygamy inequalities of quantum correlations in arbitrary dimensional multipartite quantum systems.
We show that the monogamy relations are satisfied by other quantum correlation measures such as entanglement of formation.
arXiv Detail & Related papers (2022-02-07T16:44:47Z) - 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) - 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) - Symmetric distinguishability as a quantum resource [21.071072991369824]
We develop a resource theory of symmetric distinguishability, the fundamental objects of which are elementary quantum information sources.
We study the resource theory for two different classes of free operations: $(i)$ $rmCPTP_A$, which consists of quantum channels acting only on $A$, and $(ii)$ conditional doubly (CDS) maps acting on $XA$.
arXiv Detail & Related papers (2021-02-24T19:05:02Z) - Tighter constraints of multiqubit entanglement in terms of
R\'{e}nyi-$\alpha$ entropy [5.316931601243777]
monogamy and polygamy relations characterize the entanglement distributions in the multipartite systems.
We present a class of monogamy inequalities related to the $mu$th power of the entanglement measure.
These monogamy and polygamy relations are shown to be tighter than the existing ones.
arXiv Detail & Related papers (2020-06-16T01:05:21Z)
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.