Large violation of Bell inequalities using both particle andwave measurements

Cavalcanti, Daniel; Brunner, Nicolás; Skrzypczyk, Paul; Salles, A.; Scarani, Valerio

doi:10.1103/physreva.84.022105

Cited by 32 publications

(65 citation statements)

References 32 publications

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“…This violation is the largest that we know in a scenario involving a homodyne detection in which both the measurements and the state can be realized experimentally (see Ref. [11] and the references therein).…”

Section: B Bell Test With One Atom and Less Than One Photonmentioning

confidence: 89%

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Loophole-free Bell test with one atom and less than one photon on average

et al. 2011

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We consider the entanglement between two internal states of a single atom and two photon number states describing either the vacuum or a single photon and thus containing, on average, less than one photon. We show that this intriguing entanglement can be characterized through substantial violations of a Bell inequality by performing homodyne detections on the optical mode. We present the experimental challenges that need to be overcome to pave the way toward a loophole-free Bell test.

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Section: B Bell Test With One Atom and Less Than One Photonmentioning

confidence: 89%

“…In this framework, theoretical proposals leading to substantial violations of Bell's inequalities and combining feasible states and measurements have been put forth recently [11].…”

Section: Introductionmentioning

confidence: 99%

Loophole-free Bell test with one atom and less than one photon on average

et al. 2011

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“…This hybrid method of detection has been propounded recently in Ref. [13] in the context of N00N states (N -particle path-entangled state |N,0 + |0,N ) but could conceivably be reused for other systems thanks to the high efficiency offered by homodyning.…”

Section: B Realistic Scenario: Hybrid Measurementsmentioning

confidence: 99%

Realistic limits on the nonlocality of anN-partite single-photon superposition

2011

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13, 053054 (2011)] revealed that a single quantum symmetrically delocalized over N modes, namely a W state, effectively allows for all-versus-nothing proofs of nonlocality in the limit of large N . Ideally, this finding opens up the possibility of using the robustness of the W states while realizing the nonlocal behavior previously thought to be exclusive to the more complex class of Greenberger-Horne-Zeilinger (GHZ) states. We show that in practice, however, the slightest decoherence or inefficiency of the Bell measurements on W states will degrade any violation margin gained by scaling to higher N . The non-statistical demonstration of nonlocality is thus proved to be impossible in any realistic experiment.

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“…What other types of mask functions satisfy the MUB condition is an open question. Non-trivial coarse-graining structures have already been considered in the context of Bell inequalities violations [49][50][51] and quantum cryptography [52] with CV systems. Nonetheless, a formal demonstration of mutual unbiasedness was still missing in the general framework of CV measurements.…”

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confidence: 99%

Mutual Unbiasedness in Coarse-Grained Continuous Variables

et al. 2018

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The notion of mutual unbiasedness for coarse-grained measurements of quantum continuous variable systems is considered. It is shown that while the procedure of "standard" coarse graining breaks the mutual unbiasedness between conjugate variables, this desired feature can be theoretically established and experimentally observed in periodic coarse graining. We illustrate our results in an optics experiment implementing Fraunhofer diffraction through a periodic diffraction grating, finding excellent agreement with the derived theory. Our results are an important step in developing a formal connection between discrete and continuous variable quantum mechanics.Introduction. The ability to measure a system in an infinite number of non-commuting bases distinguishes the quantum world from classical physics. Wave-particle duality and more generally the complementarity principle are directly rooted in this feature of quantum mechanics. Though one can measure a quantum system in several distinct bases, uncertainty relations limit the amount of information that can be obtained. It is well known that projection onto an eigenstate of one basis reduces the information that can be obtained through or inferred about subsequent measurement in a different basis. The information is minimum for mutually unbiased bases (MUBs), for which all outcomes of the second measurement are equally likely, so that total uncertainty is always substantial (the sharpest uncertainty relations [1]) and most insensitive to input states [2]. MUBs play an important role in complementarity [3], quantum cryptography [4] and quantum tomography [5,6], are useful for certifying quantum randomness [7], and for detecting quantum correlations such as entanglement [8][9][10] and steering [11][12][13][14][15][16][17][18].

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Large violation of Bell inequalities using both particle andwave measurements

Cited by 32 publications

References 32 publications

Loophole-free Bell test with one atom and less than one photon on average

Loophole-free Bell test with one atom and less than one photon on average

Realistic limits on the nonlocality of anN-partite single-photon superposition

Mutual Unbiasedness in Coarse-Grained Continuous Variables

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