Experimental test of error-disturbance uncertainty relation with continuous variables

Liu, Yang; Kang, Haijun; Dong-mei, Han; Su, Xiaolong; Peng, Kunchi

doi:10.1364/prj.7.000a56

Cited by 11 publications

(7 citation statements)

References 41 publications

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“…This relation has been experimentally confirmed recently by using a state-preparation method [28][29][30][31][32], weak probe method [33][34][35][36], continuous-variable entangled states [37,38], and others [39,40]. Subsequently, Branciard [41,42], and Ozawa [43] have considered a rigorous relation reads…”

Section: Introductionmentioning

confidence: 81%

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Error-disturbance uncertainty relations in Faraday measurements

Ho,

Edamatsu

2021

Preprint

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We examine error-disturbance relations in the quantum measurement of spin systems using an atom-light interface scheme. We model a single spin-1/2 system that interacts with a polarized light meter via a Faraday interaction. We formulate the error and disturbance of the model and examine the uncertainty relations. We found that for the coherent light meter in pure polarization, both the error and disturbance behave the cyclic oscillations due to the Faraday rotation in both the light and spin polarizations. We also examine a class of polarization squeezed light meter, where we apply the phase-space approximation and characterize the role of squeezing. We derive error-disturbance relations for these cases and find that the Heisenberg-Arthurs-Kelly uncertainty is violated while the tight Branciard-Ozawa uncertainty always holds. We note that, in the limit of weak interaction strength, the error and disturbance become to obey the unbiasedness condition and hence the Heisenberg-Arthurs-Kelly relation holds. The work would contribute to our understanding of quantum measurement of spin systems under the atom-light interface framework, and may hold potential applications in quantum metrology, quantum state estimation and control.

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Section: Introductionmentioning

confidence: 81%

“…that claimed tighter than relation (2) and has been experimentally verified [31,[36][37][38]. Hereafter, we call (3) the Branciard-Ozawa uncertainty.…”

Section: Introductionmentioning

confidence: 89%

Error-disturbance uncertainty relations in Faraday measurements

Ho,

Edamatsu

2021

Preprint

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“…Gaussian states, such as the squeezed state and the Einstein-Podolsky-Rosen (EPR) entangled state, play essential roles in continu-ous variable (CV) quantum information [29][30][31], where Gaussian states are generated deterministically and information is encoded in the position or momentum quadrature of photonic harmonic oscillators. For example, Gaussian states has been applied in quantum computation [32,33], quantum key distribution [34][35][36], quantum teleportation [37,38], quantum entanglement swapping [39][40][41], quantum dense coding [42,43], and verification of the error-disturbance uncertainty relation [44,45]. Recently, it has been shown that quantum coherence with infinite-dimensional systems can be quantified by relative entropy [46].…”

Section: Introductionmentioning

confidence: 99%

Experimental demonstration of robustness of Gaussian quantum coherence

Kang¹,

Dong-mei²,

Wang³

et al. 2021

Preprint

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Besides quantum entanglement and steering, quantum coherence has also been identified as a useful quantum resource in quantum information. It is important to investigate the evolution of quantum coherence in practical quantum channels. In this paper, we experimentally quantify the quantum coherence of a squeezed state and a Gaussian Einstein-Podolsky-Rosen (EPR) entangled state transmitted in Gaussian thermal noise channel, respectively. By reconstructing the covariance matrix of the transmitted states, quantum coherence of these Gaussian states is quantified by calculating the relative entropy. We show that quantum coherence of the squeezed state and the Gaussian EPR entangled state is robust against loss and noise in a quantum channel, which is different from the properties of squeezing and Gaussian entanglement. Our experimental results pave the way for application of Gaussian quantum coherence in lossy and noisy environments.

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“…Above all, the theory of uncertainty relations [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], the central topic of the paper, has advanced dramatically in the last two decades. Experimental tests of uncertainty relations [20][21][22][23][24][25][26][27][28][29] also have been performed due to the rapid improvement of experimental techniques in recent years. In the paper, we present linear simultaneous measurements of position and momentum with minimum error-trade-off in each minimum uncertainty state.…”

Section: Introductionmentioning

confidence: 99%

Linear simultaneous measurements of position and momentum with minimum error-trade-off in each minimum uncertainty state

Okamura

2021

Preprint

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So-called quantum limits and their achievement are important themes in physics. Heisenberg's uncertainty relations are the most famous of them but are not universally valid and violated in general. In recent years, the reformulation of uncertainty relations is actively studied, and several universally valid uncertainty relations are derived. On the other hand, several measuring models, in particular, spin-1/2 measurements, are constructed and quantitatively examined. However, there are not so many studies on simultaneous measurements of position and momentum despite their importance. Here we show that an error-trade-off relation (ETR), called the Branciard-Ozawa ETR, for simultaneous measurements of position and momentum gives the achievable bound in minimum uncertainty states. We construct linear simultaneous measurements of position and momentum that achieve the bound of the Branciard-Ozawa ETR in each minimum uncertainty state. To check their performance, we then calculate probability distributions and families of posterior states, sets of states after the measurements, when using them. The results of the paper show the possibility of developing the theory of simultaneous measurements of incompatible observables. In the future, it will be widely applied to quantum information processing.

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Experimental test of error-disturbance uncertainty relation with continuous variables

Cited by 11 publications

References 41 publications

Error-disturbance uncertainty relations in Faraday measurements

Error-disturbance uncertainty relations in Faraday measurements

Experimental demonstration of robustness of Gaussian quantum coherence

Linear simultaneous measurements of position and momentum with minimum error-trade-off in each minimum uncertainty state

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