Steering quantum-memory-assisted entropic uncertainty under unital and nonunital noises via filtering operations

Huang, Ai-Jun; Shi, Jia-Dong; Wang, Dong; Liu, Ye

doi:10.1007/s11128-016-1503-9

Cited by 52 publications

(14 citation statements)

References 24 publications

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“…| and f ñ j | are the eigenvectors of Q and R. To date, there have been several promising investigations with respect to the entropic uncertainty under the influence of various types of dissipative environments [12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of the measurement uncertainty in an open system and its controlling

Yao

Wang

Ming

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

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The uncertainty principle is one of the most remarkable features of quantum mechanics, originally expressed in terms of the standard deviation of two incompatible observables. Alternatively, it can be modified and written in the form of entropy to eliminate the defect in the form of standard deviation, and can also be generalized by including a memory particle that is entangled with the particle to be measured. Herein we consider a realistic scenario where the particle A to be measured is in an open environment and B as quantum memory is under an environment typically characterized by non-Markovian regimes. Specifically, it shows that the quantum memory and the non-Markovian effect can essentially inhibit the increase of uncertainty, however, the quantum memory-assisted uncertainty will finally inflate inevitably, due to that the quantum correlation of the system will be damaged gradually by the noise from the surrounding environments. To be explicit, we study the dynamic evolution of the entropic uncertainty and correlation in open system where both particles experience the noise channels. Meanwhile, we put forward some effective operation strategies to reduce the magnitude of the measurement uncertainty under the open systems. Furthermore, we explore the applications of the uncertainty relation investigated on entanglement witness and quantum channel capacity. Thus, our investigations might offer an insight into quantum measurement estimation in open systems.

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Section: Introductionmentioning

confidence: 99%

Dynamics of the measurement uncertainty in an open system and its controlling

Yao

Wang

Ming

et al. 2020

J. Phys. B: At. Mol. Opt. Phys.

Self Cite

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“…In recent years, various protection measures have been proposed, such as quantum Zeno effect, [58] decoherence-free subspace, [59] quantum error correction code, [60] and filtering operation. [61] Among which, the partially collapsing measurement method is one of the effective methods to protect the quantum coherence that has received much attention. [62] Partially collapsing measurement consists of quantum weak measurement (WM) and measurement reversal operation (WMR).…”

Section: Enhance the Gqd With Partially Collapsing Measurementsmentioning

confidence: 99%

Protecting geometric quantum discord via partially collapsing measurements of two qubits in multiple bosonic reservoirs

Bai¹,

Zhang²

2022

Chinese Phys. B

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We study the dynamics of geometric quantum discord (GQD) between the two qubits, each qubit interacting at the same time with K independent multiple bosonic reservoirs at zero temperature. In both the weak and strong qubit-reservoirs coupling regimes, we find that the increase of the number K of reservoirs can induce the damped oscillation of GQD, enhance the memory effects of the overall environment. And the Hilbert-Schmidt norm GQD (two-norm GQD) is always smaller than the trace norm geometric quantum discord (one-norm GQD). Therefore, the one-norm GQD is a better way to measure the quantum correlation. Finally we propose an effective strategy to improve GQD by using partially collapsing measurements. And we find that the protection effect is better with the increase of weak measurement strength.

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“…, here s is the strength of the filtering operation with 0 < s < 1. The investigation recently shows that the quantum correlations quantified by quantum discord or entanglement [42][43][44][45][46], the fidelity of teleportation [47] as well as the lower bound of uncertainty [48] can be probability protected by filtering operation. An interesting question is if LQU can be well protected by filtering operation.…”

Section: The Effect Of Filtering Operation On Lqumentioning

confidence: 99%

Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise

et al. 2019

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Recently, local quantum uncertainty (LQU) as a measure of quantum correlations has been proposed by Girolami et al. We here have investigated the LQU dynamics in a pair of qubits system subjected to either local or collective classical phase noises. The explicit analytical expressions of LQU for the two-qubit system of interest initially in a Werner state under these dephasing noises have been derived. We compare the dynamics of LQU with that of entanglement as measured with concurrence. Our results show that LQU always decays asymptotically while the entanglement displays sudden death phenomenon. Besides, there is no simple relation between the LQU and entanglement since LQU may be smaller or larger than entanglement. Finally, we try to protect LQU against the dephasing noise by means of filtering operation.

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Steering quantum-memory-assisted entropic uncertainty under unital and nonunital noises via filtering operations

Cited by 52 publications

References 24 publications

Dynamics of the measurement uncertainty in an open system and its controlling

Dynamics of the measurement uncertainty in an open system and its controlling

Protecting geometric quantum discord via partially collapsing measurements of two qubits in multiple bosonic reservoirs

Dynamics of local quantum uncertainty for a two-qubit system under dephasing noise

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