Monogamy and trade-off relations for correlated quantum coherence
- URL: http://arxiv.org/abs/2006.14037v2
- Date: Thu, 3 Sep 2020 18:25:29 GMT
- Title: Monogamy and trade-off relations for correlated quantum coherence
- Authors: Marcos L. W. Basso and Jonas Maziero
- Abstract summary: We study the monogamy properties of the correlated coherence for the l 1 -norm and relative entropy measures of coherence.
We show that the correlated coherence is monogamous for tripartite pure quantum systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: One of the fundamental differences between classical and quantum mechanics is
in the ways correlations can be distributed among the many parties that compose
a system. While classical correlations can be shared among many subsystems, in
general quantum correlations cannot be freely shared. This unique property is
known as monogamy of quantum correlations. In this work, we study the monogamy
properties of the correlated coherence for the l 1 -norm and relative entropy
measures of coherence. For the l 1 -norm the correlated coherence is monogamous
for a particular class of quantum states. For the relative entropy of
coherence, and using maximally mixed state as the reference incoherent state,
we show that the correlated coherence is monogamous for tripartite pure quantum
systems.
Related papers
- Quantifying nonclassical correlation via the generalized Wigner-Yanase skew information [7.889770216618095]
We introduce the concept of a family of information with important properties, namely the generalized Wigner-Yanase skew information.
We propose two different forms of indicators to quantify nonclassical correlations of bipartite quantum states.
We find that these two types of indicators reduce entanglement measure for bipartite pure states.
arXiv Detail & Related papers (2024-09-17T13:54:20Z) - Shareability of Quantum Correlations in a Many-Body Spin System with Two- and Three-Body Interactions [0.0]
We characterize the shareability of quantum correlations in a multiparty quantum spin system.
Monogamy score in this system exhibits both monogamous and non-monogamous traits.
The integral powers of the quantum correlation measures for which the non-monogamous states become monogamous are identified.
arXiv Detail & Related papers (2023-10-31T11:32:33Z) - Mixed eigenstates in the Dicke model: Statistics and power-law decay of
the relative proportion in the semiclassical limit [8.437514200532176]
We show how mixed eigenstates vary with approaching the semiclassical limit in mixed-type many-body quantum systems.
Using the Husimi function, we show that the eigenstates of the Dicke model with mixed-type classical phase space can be classified into different types.
arXiv Detail & Related papers (2023-09-21T02:31:21Z) - Quantifying total correlations in quantum systems through the Pearson correlation coefficient [0.23999111269325263]
We show that a quantum state can be correlated in either a classical or a quantum way, i.e., the two cases are mutually exclusive.
We also illustrate that, at least for the case of two-qubit systems, the distribution of the correlations among certain locally incompatible pairs of observables provides insight in regards to whether a system contains classical or quantum correlations.
arXiv Detail & Related papers (2023-06-26T07:01:28Z) - Entanglement monogamy via multivariate trace inequalities [12.814476856584346]
We derive variational formulas for relative entropies based on restricted measurements of multipartite quantum systems.
We give direct, matrix-analysis-based proofs for the faithfulness of squashed entanglement.
arXiv Detail & Related papers (2023-04-28T14:36:54Z) - Physical interpretation of nonlocal quantum correlation through local
description of subsystems [19.542805787744133]
We propose the physical interpretation of nonlocal quantum correlation between two systems.
Different nonlocal quantum correlations can be discriminated from a single uncertainty relation derived under local hidden state (LHS)-LHS model only.
arXiv Detail & Related papers (2022-10-01T10:13:40Z) - Entropic Accord: A new measure in the quantum correlation hierarchy [0.5039813366558306]
We show a new measure of quantum correlations which we call entropic accord that fits between entanglement and discord.
We study two-qubit states which shows the relationship between the three entropic quantities.
arXiv Detail & Related papers (2022-05-13T07:16:50Z) - Experimental study of quantum coherence decomposition and trade-off
relations in a tripartite system [8.797280564220879]
We study the full set of coherence trade-off relations between the original state, the bipartite product state, the tripartite product state, and the decohered product state.
We find that despite the different types of states involved, the properties of the state in terms of coherence and monogamy are equivalent.
arXiv Detail & Related papers (2020-11-16T15:44:58Z) - Are temporal quantum correlations generally non-monogamous? [0.0]
We show that a particular entangled history, which can be associated with a quantum propagator, is monogamous to conserve its consistency throughout time.
Yet evolving systems violate monogamous Bell-like multi-time inequalities.
arXiv Detail & Related papers (2020-11-15T21:07:56Z) - Multipartite Optimized Correlation Measures and Holography [8.594140167290098]
We focus on optimized correlation measures, linear combinations of entropies minimized over all possible purifications of a state that satisfy monotonicity conditions.
We present a procedure to derive such quantities, and construct a menagerie of symmetric optimized correlation measures on three parties.
Some correlation measures vanish only on product states, and thus quantify both classical and quantum correlations.
We then use a procedure motivated by the surface-state correspondence to construct holographic duals for the correlation measures as linear combinations of bulk surfaces.
arXiv Detail & Related papers (2020-07-22T18:00:01Z)
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.