Detecting Non‐Markovianity via Linear Entropy of Choi State

Zheng, Xiao; Ma, Shao-Qiang

doi:10.1002/andp.201900320

Cited by 6 publications

(1 citation statement)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Another approach [27,28] relies on measuring the distinguishability of two optimal initial states evolving through the same quantum channel and detecting any non-monotonicity (information backflows). Further witnesses of non-Markovianity have been proposed, based on different dynamical figures of merit, such as: channel capacities [19], quantum mutual information [29], local quantum uncertainty [30], quantum interferometric power [31][32][33][34], coherence [35,36], state fidelity [34,37,38], change of volume of the set of accessible states of the evolved system [39], Fisher information flow [40,41], spectral analysis [42], entropy production rates [43,44], correlation measures [45], Choi state [46] and quantum evolution speedup [47][48][49]. This variety of witnesses and approaches highlight the multifaceted nature of non-Markovian behavior which hence cannot be attributed to a unique feature of the system-environment interaction, pre-venting the characterization by means of a single tool for such a phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Jahromi,

Mahdavipour,

Shadfar

et al. 2020

Preprint

View full text Add to dashboard Cite

Non-Markovian effects can speed up the dynamics of quantum systems while the limits of the evolution time can be derived by quantifiers of quantum statistical speed. We introduce a measure for characterizing the non-Markovianity of quantum evolutions through the Hilbert-Schmidt speed (HSS), which is a special type of quantum statistical speed. This measure has the advantage of not requiring diagonalization of evolved density matrix. Its sensitivity is investigated by considering several paradigmatic instances of open quantum systems, such as one qubit subject to phase-covariant noise and Pauli channel, two independent qubits locally interacting with leaky cavities, V-type and Λ-type three-level atom (qutrit) in a dissipative cavity. We show that the proposed HSS-based non-Markovianity measure detects memory effects in perfect agreement with the well-established trace distance-based measure, being sensitive to system-environment information backflows.

show abstract

Section: Introductionmentioning

confidence: 99%

Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Jahromi,

Mahdavipour,

Shadfar

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

Linear entropy fails to predict entanglement behavior in low-density fermionic systems

Pauletti,

Silva,

Canella

et al. 2024

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

Witness of non-Markovian dynamics based on Bhattacharyya quantum distance

Hosseiny,

Seyed-Yazdi,

Norouzi

2024

Sci Rep

View full text Add to dashboard Cite

Non-Markovian effects due to quantum memory in the dynamics of open systems typically correspond to information backflows from the surrounding environment to the system. We propose a witness to quantify the non-Markovianity of quantum evolutions using the Bhattacharyya distance (BD), a specific quantum statistical distance. This witness has the advantage of not requiring the calculation of the evolved density matrix and only computes through the initial and final states of the system, therefore leading to the improvement of quantum metrology. It means that we calculate the quantum angle between two states to detect non-Markovian effects. This proposal is investigated by considering several instances of open quantum systems, such as two and three-level atoms interacting in single and two-mode fields, respectively, and two effective two-level atoms interacting locally with two independent environments. We demonstrate that the suggested BD-based non-Markovianity witness identifies memory effects, consistent with well-established witnesses based on Bures distance, quantum Fisher information, and Hilbert-Schmidt speed, showing sensitivity to information backflows.

show abstract

Detecting Non‐Markovianity via Linear Entropy of Choi State

Cited by 6 publications

References 50 publications

Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed

Linear entropy fails to predict entanglement behavior in low-density fermionic systems

Witness of non-Markovian dynamics based on Bhattacharyya quantum distance

Contact Info

Product

Resources

About