Influence of weak measurement on uncertainty relations in a quantum dissipative system

Zhang, Guo-Qing; Xu, Jing‐Bo

doi:10.1364/josab.36.000205

Cited by 8 publications

(3 citation statements)

References 38 publications

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“…Because the quantum-memory-assisted EUR strongly depends on the entanglement of ρ AB , this may further increase the measurement uncertainty U TE and its lower bound U BB . Due to this reason, several studies centering around revealing decoherence effects on the EUR in different systems [55][56][57][58][59][60][61] and seeking efficient ways to reduce the measurement uncertainty of incompatible observables [62][63][64][65][66][67][68][69][70], have been performed.…”

Section: Introductionmentioning

confidence: 99%

Reducing measurement uncertainty in dissipative and dephasing environments

Xie¹

2021

Laser Phys. Lett.

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The uncertainty relation is a fundamental principle in quantum mechanics. We explore the measurement uncertainty of two incompatible observables on qubit A with the aid of a memory qubit B, both of which are subject to two independent and identical dissipative and dephasing environments. Compared with the case of two uncoupled qubits, we show that the measurement uncertainty can be reduced significantly by introducing the interaction Hamiltonian to the two qubits, and such a positive role of the interaction Hamiltonian applies even to the initial product states. Moreover, the enhancement of the entanglement always induces decrease of the measurement uncertainty for all the cases we considered. The interaction Hamiltonian can therefore serve as an efficient way to reduce measurement uncertainty of two incompatible observables.

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Section: Introductionmentioning

confidence: 99%

Reducing measurement uncertainty in dissipative and dephasing environments

Xie¹

2021

Laser Phys. Lett.

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“…In a realistic regime, it is impossible to isolate a quantum system from its surroundings subjected to information loss in the form of dissipation and decoherence. Thus, it is logical to expect that the entropic uncertainty relation can be affected by the environmental factor [29][30][31][32][33][34][35][36][37][38][39][40]. One can also reduce the entropic uncertainty lower bound in the dissipative environment by using quantum weak measurements [41,42].…”

Section: Introductionmentioning

confidence: 99%

The lower bound of quantum memory-assisted entropic uncertainty and secret rate for two topological qubits under environments

Haseli

Dolatkhah

Jahromi

et al. 2020

Optics Communications

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“…In the most recent work, it has been assumed that the quantum memory B have an interaction with environment. In this situation the effects of environmental parameter on the bound of QMA-EUR is studied [24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]41]. The bound of QMA-EUR can be control in a dissipative environment by using the quantum weak measurements and measurement reversal [40,42].…”

Section: Introductionmentioning

confidence: 99%

Quantum memory assisted entropic uncertainty relation with moving quantum memory inside a leaky cavity

Haseli

2019

Preprint

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Uncertainty principle has a fundamental role in quantum theory. This principle states that it is not possible to measure two incompatible observers simultaneously. The uncertainty principle is expressed logically in terms of standard deviation of the measured observables. In quantum information it has been shown that the uncertainty principle can be expressed by means of Shannon's entropy. Entropic uncertainty relation can be improve by consider an additional particle as the quantum memory. In the presence of quantum memory the entropic uncertainty relation is called quantum memory assisted entropic uncertainty relation. In this work we will consider the case in which the quantum memory moves inside the leaky cavity. We will show that by increasing the velocity of the quantum memory the entropic uncertainty lower bound decreased.

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Influence of weak measurement on uncertainty relations in a quantum dissipative system

Cited by 8 publications

References 38 publications

Reducing measurement uncertainty in dissipative and dephasing environments

Reducing measurement uncertainty in dissipative and dephasing environments

The lower bound of quantum memory-assisted entropic uncertainty and secret rate for two topological qubits under environments

Quantum memory assisted entropic uncertainty relation with moving quantum memory inside a leaky cavity

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