Enhancing entanglement trapping by weak measurement and quantum measurement reversal

Zhang, Ying-Jie; Wang, Han; Fan, Heng; Xia, Yun‐Jie

doi:10.1016/j.aop.2014.12.010

Cited by 25 publications

(8 citation statements)

References 47 publications

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“…with practical [14][15][16] or foundational [17][18][19][20][21] aims. Among the latter, Aharonov et al [22] introduced an interferometric based scheme baptized the Quantum Cheshire Cat (QCC).…”

Section: Introductionmentioning

confidence: 99%

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

et al. 2018

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The Quantum Cheshire Cat (QCC) is an effect introduced recently within the Weak Measurements framework. The main feature of the QCC effect is that a property of a quantum particle appears to be spatially separated from its position. The status of this effect has however remained unclear, as claims of experimental observation of the QCC have been disputed by strong criticism of the experimental as well as the theoretical aspects of the effect. In this paper we clarify in what precise sense the QCC can be regarded as an unambiguous consequence of the standard quantum mechanical formalism applied to describe quantum pointers weakly coupled to a system. In light of this clarification, the raised criticisms of the QCC effect are rebutted. We further point out that the limitations of the experiments performed to date imply that a loophole-free experimental demonstration of the QCC has not yet been achieved.

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Section: Introductionmentioning

confidence: 99%

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

et al. 2018

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“…where m is the weak measurement strength and N = 11 + (1 − m) 22 is the normalized coefficient of the evolved state, which quantifies the successful probability of QWM.…”

Section: Reducing Eur In a Depolarizing Channel Via Qwmmentioning

confidence: 99%

“…Zhang et al [21] have investigated the dynamic features of the quantum-memory-assisted entropic uncertainty relation under a class of channels, i.e., amplitude damping. Zhang et al [22] have put forward a proposal for increasing trapping of entanglement in the environment of a photonic bandgap material by use of combined weak measurement and quantum measurement reversals. Sun et al [23] reported that the entanglement degradation of a bipartite state under amplitude damping noise can be suppressed via weak measurement to some extent and demonstrated a linear optics scheme upon its performance.…”

Section: Introductionmentioning

confidence: 99%

Entropic Uncertainty Relation Under Dissipative Environments and Its Steering by Local Non-unitary Operations

Zhang

Wang

et al. 2016

Int J Theor Phys

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Entropic uncertainty relation (EUR) quantifies the precision of measurements for arbitrary two non-commuting observables within a specified system. Due to exposure in a noisy environment, a practical system unavoidably suffers from decay by interacting with the environment. In this paper, we investigate the dynamic behaviors of EUR for a pair of noncommuting observables under two typical dissipative environments. Specifically, we study the dynamics features of EUR in a single-qubit system under the degradation induced by amplitude damping (AD) and depolarizing noises, respectively. It has been found that AD and depolarizing noises do not always cause the increase of the uncertainty, and can reduce the amount in a relative long-time regime. Remarkably, it has been shown that there exists a critical phenomenon that AD noise can always lead to the reducing of the uncertainty when the ratio of ground state and excited state is beyond a threshold in the system. Furthermore, we propose a general and effective approach to steer EUR by means of a kind of nonunitary operations, namely, quantum weak measurements. It is verified that quantum weak measurements can effectively reduce the entropic uncertainty in the dissipative environment.

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“…Therefore, it is of fundamentally importance to clarify how environmentally-induced decoherence affects the uncertainty of measurements. Till now, there have been some observations with respect to the entropic uncertainty under the influence of various types of dissipative environments [11,[21][22][23][24][25][26].…”

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confidence: 99%

Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

Wang,

Huang,

Hoehn

et al. 2017

Preprint

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The uncertainty relation is a fundamental limit in quantum mechanics and is of great importance to quantum information processing as it relates to quantum precision measurement. Due to interactions with the surrounding environment, a quantum system will unavoidably suffer from decoherence. Here, we investigate the dynamic behaviors of the entropic uncertainty relation of an atom-cavity interacting system under a bosonic reservoir during the crossover between Markovian and non-Markovian regimes. Specifically, we explore the dynamic behavior of the entropic uncertainty relation for a pair of incompatible observables under the reservoir-induced atomic decay effect both with and without quantum memory. We find that the uncertainty dramatically depends on both the atom-cavity and the cavity-reservoir interactions, as well as the correlation time, τ , of the structured reservoir. Furthermore, we verify that the uncertainty is anti-correlated with the purity of the state of the observed qubit-system. We also propose a remarkably simple and efficient way to reduce the uncertainty by utilizing quantum weak measurement reversal. Therefore our work offers a new insight into the uncertainty dynamics for multi-component measurements within an open system, and is thus important for quantum precision measurements.

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Enhancing entanglement trapping by weak measurement and quantum measurement reversal

Cited by 25 publications

References 47 publications

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

The Quantum Cheshire Cat effect: Theoretical basis and observational implications

Entropic Uncertainty Relation Under Dissipative Environments and Its Steering by Local Non-unitary Operations

Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir

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