Fidelity based measurement induced nonlocality

Muthuganesan, R.; Sankaranarayanan, R.

doi:10.1016/j.physleta.2017.07.031

Cited by 42 publications

(27 citation statements)

References 38 publications

(40 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [35], to capture global nonlocal effect of a quantum state of discrete system due to locally invariant projective measurements, the authors use the fidelity in Eq. (3) to define a metric C(ρ, σ) = 1 − F 2 (ρ, σ)…”

Section: Operationsmentioning

confidence: 99%

Fidelity-based unitary operation-induced quantum correlation for continuous-variable systems

Liu

Hou

2019

Int. J. Quantum Inform.

View full text Add to dashboard Cite

We propose a measure of nonclassical correlation N G F in terms of local Gaussian unitary operations based on square of the fidelity F for bipartite continuous-variable systems. This quantity is easier to calculate or estimate and is a remedy for the local ancilla problem associated with the geometric measurement-induced nonlocality. A simple computation formula of N G F for any (1+1)-mode Gaussian states is presented and an estimation of N G F for any (n + m)-mode Gaussian states is given. For any (1 + 1)-mode Gaussian states, N G F does not increase after performing a local Gaussian channel on the unmeasured subsystem. Comparing N G F (ρ AB ) in scale with other quantum correlations such as Gaussian geometric discord for two-mode symmetric squeezed thermal states reveals that N G F is much better in detecting quantum correlations of Gaussian states.

show abstract

Section: Operationsmentioning

confidence: 99%

Fidelity-based unitary operation-induced quantum correlation for continuous-variable systems

Liu

Hou

2019

Int. J. Quantum Inform.

View full text Add to dashboard Cite

show abstract

“…Fidelity itself is not a metric, any monotonically decreasing function of fidelity defines a valid distace measure. Defining MIN based on fidelity induced metric as [18,19]…”

Section: Overview On Correlation Measuresmentioning

confidence: 99%

Dynamics of measurement-induced nonlocality under decoherence

Muthuganesan

Sankaranarayanan

2018

Quantum Inf Process

Self Cite

View full text Add to dashboard Cite

Measurement Induced Nonlocality (MIN)-captures nonlocal effects of a quantum state due to local von Neumann projective measurements, is a bona-fide measure of quantum correlation between constituents of a composite system. In this paper, we study the dynamical behavior of entanglement (measured by concurrence), Hilber-Schmidt MIN and fidelity based MIN (F-MIN) under local noisy channels such as hybrid (consists of bit, phase, bit and phase flip), generalized amplitude damping (GAD) and depolarizing channels for the initial Bell diagonal state. We observed that while sudden death of entanglement occur in hybrid and GAD channels, MIN and F-MIN are more robust against such noise. Finally, we demonstrate the revival of MIN and F-MIN after a dark point of time against depolarizing noise.

show abstract

“…and hence the theorem is proved. Thus two-sided F-MIN for pure state coincides with that of one-sided F-MIN [22], Hilbert-Schmidt norm [8] and skew information [20] based MINs and remedied geometric discord [25]. Eq.…”

Section: Min Over Two-sided Projective Measurementsmentioning

confidence: 99%

“…Proof is as follows: Following the optimization as given in [22], we have an inequality for fidelity based MIN due to the projective measurements on a as…”

Section: Theorem 2: F-min Has a Tight Upper Bound Asmentioning

confidence: 99%