Geometric measure of quantum discord with weak measurements

Li, Lei; Wang, Qingwen; Shen, Shu-Qian; Li, Ming

doi:10.1007/s11128-015-1184-9

Cited by 10 publications

(5 citation statements)

References 24 publications

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“…Here, one can be seen clearly for the given values of x that N 2W (ρ) ≤ N 2 (ρ) and N 1W (ρ) ≤ N 1 (ρ) which is in sharp contrast to the SQD [30]. On the other hand, this observation is consistent with the result presented in [31], where they proved that weak one-way deficit is smaller than one-way deficit for the given values of x. Further, the above results underscore the weak measurements are less invasive than projective measurements, so the Hilbert-Schmidt distance (trace distance) or von Neumann entropy from pre-measurement state to post-weak-measured state is less than that to postprojective-measured state.…”

Section: Quantum Correlation Dynamics Of the Two Atom Systemssupporting

confidence: 92%

“…The dynamics of quantum correlation for two isolated atoms in their own thermal reservoir are studied by using quantum discord with weak measurement [21]. It is shown that the quantum correlation quantified by a sequence of geometric discord with weak measurements [22]. Further, the comparison between dynamics of quantum discord and entanglement of two-atom in thermal reservoir is also investigated [23].…”

Section: Introductionmentioning

confidence: 99%

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Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs

Ananth,

Muthuganesan,

Chandrasekar

2021

Preprint

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The dynamical behavior of quantum correlations captured by different forms Measurement-Induced Nonlocality (MIN) between two atoms coupled with thermal reservoirs is investigated and compared with the entanglement. It is shown that the MIN quantities are more robust, while noise cause sudden death in entanglement. Further, we quantified the quantum correlation with weak measurement and the effect of measurement strength is observed. The role of mean photon number and weak measurement on quantum correlation is also highlighted.

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Section: Quantum Correlation Dynamics Of the Two Atom Systemssupporting

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs

Ananth,

Muthuganesan,

Chandrasekar

2021

Preprint

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“…It follows from this rationale that the weak-measurement induced quantum discord should be never greater than its traditional formulation. This was indeed confirmed by Li et al [38], who employed the Hilbert-Schmidt norm to compute a weak-measurement induced geometrical quantum discord. Surprisingly, though, by introducing weak measurements in the original procedure for the derivation of the entropic quantum discord, Singh and Pati obtained what they called a super quantum discord [39], a quantifier that is greater than quantum discord.…”

supporting

confidence: 54%

Weak quantum discord

Dieguez

Angelo

2018

Quantum Inf Process

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Originally introduced as the difference between two possible forms of quantum mutual information, quantum discord has posteriorly been shown to admit a formulation according to which it measures a distance between the state under scrutiny and the closest projectively measured (non-discordant) state. Recently, it has been shown that quantum discord results in higher values when projective measurements are substituted by weak measurements. This sounds paradoxical since weaker measurements should imply weaker disturbance and, thus, a smaller distance. In this work we solve this puzzle by presenting a quantifier and an underlying interpretation for what we call weak quantum discord. As a by-product, we introduce the notion of symmetrical weak quantum discord.

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“…For some examples of such quantities, see Refs. [1,[96][97][98][99][100][101][102][103][104][105][106][107][108][109][110][111][112] and references therein. This scenario has led to a variety of QDQs and has motivated the discussion about which properties they should enjoy [113,114].…”

Section: B Quantum Discord Quantifiersmentioning

confidence: 99%

The Sudden Change Phenomenon of Quantum Discord

Céleri

Maziero

2017

Quantum Science and Technology

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Even if the parameters determining a system's state are varied smoothly, the behavior of quantum correlations alike to quantum discord, and of its classical counterparts, can be very peculiar, with the appearance of non-analyticities in its rate of change. Here we review this sudden change phenomenon (SCP) discussing some important points related to it: Its uncovering, interpretations, and experimental verifications, its use in the context of the emergence of the pointer basis in a quantum measurement process, its appearance and universality under Markovian and non-Markovian dynamics, its theoretical and experimental investigation in some other physical scenarios, and the related phenomenon of double sudden change of trace distance discord. Several open questions are identified, and we envisage that in answering them we will gain significant further insight about the relation between the SCP and the symmetry-geometric aspects of the quantum state space.

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Geometric measure of quantum discord with weak measurements

Cited by 10 publications

References 24 publications

Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs

Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs

Weak quantum discord

The Sudden Change Phenomenon of Quantum Discord

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