Detecting Entanglement in Spatial Interference

Gneiting, Clemens; Hornberger, Klaus

doi:10.1103/physrevlett.106.210501

Cited by 42 publications

(72 citation statements)

References 20 publications

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“…in contrast to the vanishing variance (26). As one expects, already for N = 2 this exceeds substantially the threshold value 2Cp ,Nx of the entanglement criterion (41).…”

Section: Admixture Of a Separable Statementioning

confidence: 71%

“…This is achieved with an entanglement criterion similar to the modular entanglement criterion derived in [26], where the squeezing was considered to occur in a different set of two-particle observables, namely the modular relative position x rel = x 1 − x 2 and the total integer momentum…”

Section: E Modular Entanglement Criterionmentioning

confidence: 99%

“…Moreover, only position measurements are easily doable with material particles, practically ruling out tomographic techniques of entanglement verification. Recently, we described a viable method based on modular variables, which captures situations where entanglement gives rise to spatial interference [26]. In the following we introduce the corresponding criterion, adapted to the specific correlations displayed by the EPR interference experiments.…”

Section: Introductionmentioning

confidence: 99%

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Nonlocal Young tests with Einstein-Podolsky-Rosen-correlated particle pairs

Gneiting

Hornberger

2013

Phys. Rev. A

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“…in contrast to the vanishing variance (26). As one expects, already for N = 2 this exceeds substantially the threshold value 2Cp ,Nx of the entanglement criterion (41).…”

Section: Admixture Of a Separable Statementioning

confidence: 71%

Section: E Modular Entanglement Criterionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocal Young tests with Einstein-Podolsky-Rosen-correlated particle pairs

Gneiting

Hornberger

2013

Phys. Rev. A

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“…However, entanglement of these particles was never explicitly demonstrated. More recently, entanglement criteria were developed that are especially well suited to nonlocal Young-like interference effects [24,35]. These employ modular variables (MVs), which are an alternative representation of the usual position and momentum variables and have been shown to be particularly relevant in interference phenomena [36].…”

Section: Introductionmentioning

confidence: 99%

Detecting multipartite spatial entanglement with modular variables

et al. 2015

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Interference phenomena of quantum systems have been studied in the context of fundamental aspects of quantum physics and are considered a necessary resource for quantum information. Here we investigate the interference of multiparticle wave packets in terms of modular variables, which is a natural and convenient way to describe two or more interfering wave functions. Through the modular-variable description, interesting phenomena appear such as the complementarity between the number of wave packets and the width of the peaks of the momentum distribution. In the multipartite case, this effect produces quantum entanglement. We derive entanglement criteria that test for bipartite entanglement in generic bipartitions of a multipartite quantum state and use these criteria to test for genuine D-partite entanglement.

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“…This goal has prompted interest in the scaling-up of matter-wave interferometers [122,123], in levitating microparticles [9] and in arrays of mechanical oscillators [44,124], among other research. Optomechanical systems, in which mechanical oscillators are coupled to optical or microwave fields, are well known as a promising basis for observing macroscopic entanglement in a wide variety of architectures [120,34].…”

Section: Introductionmentioning

confidence: 99%

Quantum measurement and control of a mechanical parametric oscillator

Szorkovszky¹

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Unlike classical systems, the very act of observing quantum systems perturbs their behaviour.This introduces "backaction noise", which imposes limits on the knowledge that can be obtained through measurement. Certain measurement techniques, known generally as quantum non-demolition (QND) measurements, exist to circumvent this noise. An alternative method to evade backaction noise is to amplify the observable of interest above the noise. However, this generally leaves the system in a different state, and is therefore not considered a QND measurement. In this thesis, I examine the benefits of amplification for various kinds of measurement of mechanical harmonic oscillators which, at the micrometre and nanometre scale, comprise an emerging quantum technology. For this prototypical case, modulation of the spring constant, also known as parametric amplification, is a well-studied noiseless amplification technique. Using the theory of trajectories developed in the field of quantum optics, I show that a weak measurement combined with a detuned parametric drive achieves the same ends as strong QND measurement. Namely, it allows backaction-free observation of one quadrature of mechanical motion, and through this, quantum squeezing below the quantum zero-point motion.This equivalence is experimentally confirmed in the classical limit using an optically detected, electrically modulated cantilever. In addition, I analyse similar amplification enhanced techniques for quantum entanglement and quantum tomography. These results are applicable to research in quantum optomechanics and electromechanics, and can be translated to other kinds of quantum harmonic oscillators, such as microwave cavities. Declaration by author

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Detecting Entanglement in Spatial Interference

Cited by 42 publications

References 20 publications

Nonlocal Young tests with Einstein-Podolsky-Rosen-correlated particle pairs

Nonlocal Young tests with Einstein-Podolsky-Rosen-correlated particle pairs

Detecting multipartite spatial entanglement with modular variables

Quantum measurement and control of a mechanical parametric oscillator

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