Multiple uncertainty relation for accelerated quantum information

Qian, C. D.; Wu, Yu; Ji, Jia-Wei; Xiao, Yunlong; Sanders, Barry C.

doi:10.1103/physrevd.102.096009

Cited by 6 publications

(5 citation statements)

References 31 publications

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“…[20][21][22][23][24][25]. Recently, beyond inertial frames, the uncertainty trade-off occurred near the event horizon of a Schwarzschild black hole [26] and the relativistic protocol of an uncertainty game in the presence of localized fermionic quantum fields inside cavities [27] have also been demonstrated.…”

Section: Introductionmentioning

confidence: 99%

Near-Optimal Variance-Based Uncertainty Relations

Xiao

Jing

et al. 2022

Front. Phys.

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Learning physical properties of a quantum system is essential for the developments of quantum technologies. However, Heisenberg’s uncertainty principle constrains the potential knowledge one can simultaneously have about a system in quantum theory. Aside from its fundamental significance, the mathematical characterization of this restriction, known as ‘uncertainty relation’, plays important roles in a wide range of applications, stimulating the formation of tighter uncertainty relations. In this work, we investigate the fundamental limitations of variance-based uncertainty relations, and introduce several ‘near optimal’ bounds for incompatible observables. Our results consist of two morphologically distinct phases: lower bounds that illustrate the uncertainties about measurement outcomes, and the upper bound that indicates the potential knowledge we can gain. Combining them together leads to an uncertainty interval, which captures the essence of uncertainties in quantum theory. Finally, we have detailed how to formulate lower bounds for product-form variance-based uncertainty relations by employing entropic uncertainty relations, and hence built a link between different forms of uncertainty relations.

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Section: Introductionmentioning

confidence: 99%

Near-Optimal Variance-Based Uncertainty Relations

Xiao

Jing

et al. 2022

Front. Phys.

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“…Starting from fairly mundane initial conditions, the fluctuations of vacuum near the event horizon cause black holes to evaporate and the evaporation process is inconsistent with the quantum mechanical principle that a pure state always evolves to another pure state [1]. Recently, more and more attentions have been not only paid on the understanding of the black hole information loss paradox [2][3][4][5], but also on the behavior a e-mail: cuihongwen@hunnu.edu.cn (corresponding author) b e-mail: jcwang@hunnu.edu.cn c e-mail: jljing@hunnu.edu.cn of quantum correlations in relativistic setting [6][7][8][9][10][11][12][13][14][15][16][17][18]. The latter gives birth to the relativistic quantum information, which is devoted to study the preparation and precession of quantum information in the framework of general relativity.…”

Section: Introductionmentioning

confidence: 99%

Gaussian quantum steering under the influence of a dilaton black hole

Wen

Wang

et al. 2021

Eur. Phys. J. C

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We study the dynamics of Gaussian quantum steering in the background of a Garfinkle–Horowitz–Strominger dilaton black hole. It is found that the gravity induced by dilaton field will destroy the quantum steerability between the inertial observer Alice and the observer Bob who hovers outside the event horizon, while it generates steering-type quantum correlations between the causally disconnected regions. Therefore, the observers can steer each other’s state by local measurements even though they are separated by the event horizon. Unlike quantum entanglement in the dilaton spacetime, the quantum steering experiences catastrophic behaviors such as “sudden death” and “sudden birth” with increasing dilaton charge. In addition, the dilaton gravity destroys the symmetry of Gaussian steering and the latter is always asymmetric in the dilation spacetime. Interestingly, the attainment of maximal steering asymmetry indicates the critical point between one-way and two-way steering for the two-mode Gaussian state in the dilaton spacetime.

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“…Recently, there is growing interests in further exploiting the Unruh effect by some probes of quantumness, beyond the response spectrum of UDW detector. The inviting candidates include the entanglement monotone between multi-detectors [16][17][18], quantum discord [19], uncertainty relation [20][21][22][23] and quantum Fisher information [24][25][26]. Besides revealing the unique quantum feature that absence for conventional thermal bath noise, these quantum probes may also shed new light in quantum gravity [27].…”

Section: Introductionmentioning

confidence: 99%

Thermality of the Unruh effect with intermediate statistics

Feng,

Zhang,

Zhou

2021

Preprint

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Utilizing quantum coherence monotone, we reexamine the thermal nature of the Unruh effect of an accelerating detector. We consider an UDW detector coupling to a n-dimensional conformal field in Minkowski spacetime, whose response spectrum generally exhibits an intermediate statistics of (1+1) anyon field. We find that the thermal nature of the Unruh effect guaranteed by KMS condition is characterized by a vanishing asymptotic quantum coherence. We show that the time-evolution of coherence monotone can distinguish the different thermalizing ways of the detector, which depends on the scaling dimension of the conformal primary field. In particular, for the conformal background with certain scaling dimension, we demonstrate that at fixed proper time a revival of coherence can occur even for growing Unruh decoherence. Finally, we show that coherence monotone has distinct dynamics under the Unruh decoherence and a thermal bath for a static observer.

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Multiple uncertainty relation for accelerated quantum information

Cited by 6 publications

References 31 publications

Near-Optimal Variance-Based Uncertainty Relations

Near-Optimal Variance-Based Uncertainty Relations

Gaussian quantum steering under the influence of a dilaton black hole

Thermality of the Unruh effect with intermediate statistics

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