Hierarchy of quantum correlations under non-Markovian dynamics

Paulson, K. G.; Panwar, Ekta; Banerjee, Subhashish; Srikanth, R.

doi:10.1007/s11128-021-03061-9

Cited by 18 publications

(11 citation statements)

References 61 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This is consistent with the behavior between QSL time and quantum correlations for non-unital channels, which is the case here for the model studied, and as pointed out in ref. [28].…”

Section: Connection Between Quantum Correlations and Qsl Timementioning

confidence: 99%

“…The dynamics of quantum correlations under the (non-)Markovian environment have been extensively studied. [26][27][28][29] The non-Markovian behavior, arising from, say, a strong systembath coupling, can delay the decay and sometimes source the revival of quantum correlations. [30,31] The evolution of the system of interest can change due to the nature of the bath, and this could be witnessed from the dynamics of quantum speed limit (QSL) time.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantum Correlations and Speed Limit of Central Spin Systems

2023

Self Cite

View full text Add to dashboard Cite

In this article, single, and two‐qubit central spin systems interacting with spin baths are considered and their dynamical properties are discussed. The cases of interacting and non‐interacting spin baths are considered and the quantum speed limit (QSL) time of evolution is investigated. The impact of the size of the spin bath on the quantum speed limit for a single qubit central spin model is analyzed. The quantum correlations for (non‐)interacting two central spin qubits are estimated and their dynamical behavior with that of QSL time under various conditions are compared. How QSL time could be availed to analyze the dynamics of quantum correlations is shown.

show abstract

“…This is consistent with the behavior between QSL time and quantum correlations for non-unital channels, which is the case here for the model studied, and as pointed out in ref. [28].…”

Section: Connection Between Quantum Correlations and Qsl Timementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum Correlations and Speed Limit of Central Spin Systems

2023

Self Cite

View full text Add to dashboard Cite

show abstract

“…In many cases, the dynamics of an OQS can be described using a Markovian approximation where a clean separation between the system and environment time scales exist. When this is not so, we enter the non-Markovian regime [47][48][49][50][51][52][53][54][55][56][57][58][59][60].…”

Section: Introductionmentioning

confidence: 99%

Harnessing quantumness of states using discrete Wigner functions under (non)-Markovian quantum channels

Lalita¹,

G.²,

Banerjee³

2023

Preprint

View full text Add to dashboard Cite

The negativity of the discrete Wigner functions (DWFs) is a measure of non-classicality and is often used to quantify the degree of quantum coherence in a system. The study of Wigner negativity and its evolution under different quantum channels can provide insight into the stability and robustness of quantum states under their interaction with the environment, which is essential for developing practical quantum computing systems. We investigate the variation of DWF negativity of qubit, qutrit, and two-qubit systems under the action of (non)-Markovian random telegraph noise (RTN) and amplitude damping (AD) quantum channels. We construct different negative quantum states which can be used as a resource for quantum computation and quantum teleportation. The success of quantum computation and teleportation is estimated for these states under (non)-Markovian evolutions.

show abstract

“…To list a few, the bound on speed limit time reveals how fast the quantum information can be communicated, the maximum rate at which information can be processed, and the precision limit in quantum metrology [ 23–25 ] among others. Even though there exists no direct connection between non‐Markovianity, a class of which is identified by information backflow and quantum speed limit time (

\tau _{QSL}

), [ 26 ] it has been shown that

\tau _{QSL}

could be realized as a witness of the decay‐revival mechanism of quantum correlations [ 27 ] for a certain class of quantum noises. In ref.…”

Section: Introductionmentioning

confidence: 99%

Phase Covariant Channel: Quantum Speed Limit of Evolution

2022

Self Cite

View full text Add to dashboard Cite

The quantum speed of evolution for the phase covariant map is investigated. This involves absorption, emission, and dephasing processes. The maps under various combinations of the above processes are considered to investigate the effect of phase covariant maps on quantum speed limit time. For absorption-free phase covariant maps, combinations of dissipative and CP-(in)divisible (non)-Markovian dephasing noises are considered. The role of coherence-mixedness balance on the speed limit time is checked in the presence of both vacuum and finite temperature effects. The rate at which Holevo's information changes and the action quantum speed of evolution for specific cases of the phase covariant map are also investigated.

show abstract

Hierarchy of quantum correlations under non-Markovian dynamics

Cited by 18 publications

References 61 publications

Quantum Correlations and Speed Limit of Central Spin Systems

Quantum Correlations and Speed Limit of Central Spin Systems

Harnessing quantumness of states using discrete Wigner functions under (non)-Markovian quantum channels

Phase Covariant Channel: Quantum Speed Limit of Evolution

Contact Info

Product

Resources

About