Improved Jänecke mass formula

He, Zhixia; Bao, M.; Zhao, Y. M.

doi:10.1103/physrevc.90.054320

Cited by 20 publications

(19 citation statements)

References 54 publications

(151 reference statements)

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“…Note that BLP stands for Breuer, Laine, and Piilo, who were the first to use distinguishability as a measure of non-Markovianity [6]. In a similar way, we find that a large class of system-ancilla quantifiers considered so far [12][13][14] also correspond to PQ of the form I n SA , for different values of n. In particular, I 2 S and I 1 SA corresponds to a large number of cases in the literature (see Table I). Refer to Appendix A, for a detailed disposition of how each quantifier corresponds to PQ.…”

Section: Generalized Formalism For Information Backflowsupporting

confidence: 57%

“…We now present a generalized formalism for the IB category in such a way that a large class of IB prescriptions proposed so far [6][7][8][9][10][11][12][13][14] falls into it. We identify an essential feature which is common to all quantifiers considered in the literature i.e.…”

Section: Generalized Formalism For Information Backflowmentioning

confidence: 99%

“…All the prescriptions suggested so far can be broadly classified into two main categories: completely positive divisibility (CPD) [4,5], and information backflow (IB) [6][7][8][9][10][11][12][13][14]. The CPD approach comes from a mathematical point of view, where a dynamical process is called Markovian if evolution up to a particular time t, can be broken down into two valid quantum evolutions: one up to an intermediate time s (for any s < t), followed by another from s to t. The IB approach, on the other hand describes a dynamical process to be Markovian if some quantifier, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…Any such measure can be used as a quantifier to define Markovianity. Similarly, the IBSA class involves joint system-ancilla quantifiers like quantum mutual information [12], interferometric power [13], local quantum uncertainty [14] etc.…”

Section: Introductionmentioning

confidence: 99%

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Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility

Chakraborty

2018

Phys. Rev. A

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We present a general framework for the information backflow (IB) approach of Markovianity that not only includes a large number, if not all, of IB prescriptions proposed so far but also is equivalent to CP-divisibility for invertible evolutions. Following the common approach of IB, where monotonic decay of some physical property or some information quantifier is seen as the definition of Markovianity, we propose in our framework a general description of what should be called a proper 'physicality quantifier' to define Markovianity. We elucidate different properties of our framework, and use them to argue that an infinite family of non-Markovianity measures can be constructed, which would capture varied strengths of non-Markovianity in the dynamics. Moreover, we show that generalized trace-distance measure in 2 dimension serve as a sufficient criteria for IB-Markovianity for a number of prescriptions suggested earlier in literature.

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Section: Generalized Formalism For Information Backflowsupporting

confidence: 57%

Section: Generalized Formalism For Information Backflowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility

Chakraborty

2018

Phys. Rev. A

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“…Among the most significant ones, let us mention those based on the deviation of the dynamical maps from divisible CPTP maps (41,42) and those based on channel capacities (43), the nonmonotonicity of the trace distance or distinguishability (44), entanglement (41), and quantum mutual information (45). Other significant works to quantify the non-Markovianity include the flow of QFI (46), volume of Gaussian states (47), local quantum uncertainty (48), and coherence (49,50). Moreover, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Multiparameter estimation, lower bound on quantum Fisher information, and non-Markovianity witnesses of noisy two-qubit systems

Jahromi

Amini

Ghanaatian

2019

Quantum Inf Process

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By using the quantum Fisher information (QFI), we address the process of single-parameter estimation in the presence of bosonic as well as fermionic environments and protection of information against the noise. In particular, the quantum interferometric power (IP) of the evolved state of the system is uncovered as an important lower bound for the QFIs of initially encoded parameters. Moreover, we unveil new witnesses of non-Markovianity, that can be used to detect efficiently the memory effects and backflow of information from the environment to the system. On the other hand, we also investigate the multiparameter estimation of initial parameters encoded into the quantum state of a two qubit system and obtain analytical formula of the corresponding QFI matrix. In particular, the corresponding quantum Cramer-Rao bounds in both single and multiparameter estimations are analysed. In addition, we illustrate that the quantum coherence and purity of the evolved state of the probes are two key elements in realizing optimum multiparameter estimation.

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Band gap, Jahn‐Teller deformation, octahedra rotation in transition metal perovskites LaTiO3

Pascale,

Gueddida,

Doll

et al. 2023

J Comput Chem

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The LaTiO perovskite (where Ti is in a d1 state) is investigated by using an all electron Gaussian basis and many functionals, ranging from pure GGA (PBE), to hybrids (full range, B3LYP and PBE0, and range separated, HSE06) to Hartree Fock. Recently, Varignon et al. (Phys. Rev. Res 1, 033131, 2019), showed that, when GGA+U or HSE06 are used, a metallic solution and fractional occupancy of the t subshell are obtained. Here, it is shown that when a full range hybrid functional is used, an integer occupancy is obtained, as suggested by the Jahn‐Teller theorem. When the exact exchange percentage varies from 0 to 100, the system is insulating when it exceeds 20. By reducing progressively the symmetry from cubic down to orthorhombic, the relative importance of the Jahn‐Teller deformation and of the rotation of the octahedra is explored.

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Improved Jänecke mass formula

Cited by 20 publications

References 54 publications

Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility

Generalized formalism for information backflow in assessing Markovianity and its equivalence to divisibility

Multiparameter estimation, lower bound on quantum Fisher information, and non-Markovianity witnesses of noisy two-qubit systems

Band gap, Jahn‐Teller deformation, octahedra rotation in transition metal perovskites LaTiO3

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