Lundeen replies

Lundeen, S. R.

doi:10.1103/physrevlett.62.3009

Cited by 61 publications

(128 citation statements)

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“…If pain persists, cortisone injections, custom orthotics, night splints, and formal physical therapy are initiated. 6 Low-intensity shock-wave therapy also has been shown to provide symptomatic relief. 8 In most patients symptoms resolve without surgical treatment.…”

Section: Introductionmentioning

confidence: 99%

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Endoscopic Plantar Fascia Release

Hogan¹,

Webb²,

Shereff

2004

Foot Ankle Int.

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Section: Introductionmentioning

confidence: 99%

“…Endoscopic release of the plantar fascia is intended to provide relief of symptoms while minimizing complications and recovery time associated with open procedures. 3,5,6,9 In our study we report the results of endoscopic plantar fascia release performed by a single orthopaedic foot and ankle surgeon in 22 consecutive patients.…”

Section: Introductionmentioning

confidence: 99%

Endoscopic Plantar Fascia Release

Hogan¹,

Webb²,

Shereff

2004

Foot Ankle Int.

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“…The reconstruction of a detector POVM can be achieved by the inversion of the Born Rule [1], but recently another calibration scheme was proposed [2], based on quantum correlations of a bipartite system whose parts are sent to the DUC and to a tomographer. The calibration of a quantum apparatus corresponds to determining its positive operatorvalued measure (POVM), i.e.…”

Section: Theoretical Frameworkmentioning

confidence: 99%

Entanglement-assisted calibration of a photon-number-resolving detector

Brida

Ciavarella

Dagrada

et al. 2012

Conference on Lasers and Electro-Optics 2012

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Here we present the first experimental entanglement-assisted quantum characterization of an unknown photon-number-resolving detector, i.e. the reconstruction of its positive operator-valued measure (POVM), obtained by exploiting the quantum correlations of a twin-beam generated by parametric down conversion (PDC). Theoretical frameworkHere we present the first experimental entanglement-assisted quantum characterization of an unknown photon-numberresolving (PNR) detector, obtained by exploiting the quantum correlations of a twin-beam generated by parametric down conversion (PDC): one beam is revealed by the detector under calibration (DUC), whereas the other one is sent to a quantum tomographer (T). The calibration of a quantum apparatus corresponds to determining its positive operatorvalued measure (POVM), i.e. the set of operators Π n providing the probability of the measurement outcomes via the Born rule p n = Tr [ρ Π n ], where ρ is the density operator describing the system being measured. The reconstruction of a detector POVM can be achieved by the inversion of the Born Rule [1], but recently another calibration scheme was proposed [2], based on quantum correlations of a bipartite system whose parts are sent to the DUC and to a tomographer. This scheme, both more reliable and less demanding, is a clear example of ancilla-assisted quantum scheme, where quantum correlations play a key role in order to improve both precision and stability. To perform the tomographic reconstruction needed here [2], we make use of a maximum-likelihood based method [3,4] exploiting on/off detectors with variable quantum efficiency to reconstruct the diagonal elements of the density matrix of quantum optical states. This method has been tested in different regimes [5] and generalized to the bipartite case [6], improved with the addition of a proper energy constraint [7] and extended also to the off-diagonal elements of the density matrix [8,9]: now it will be applied also to this ancilla-assisted POVM reconstruction experiment. Experimental setup and resultsThe experimental setup (Fig. 1) is composed by a 400 nm mode-locked laser pumping a LiIO 3 crystal in order to produce degenerate and non-collinear Type-I Parametric Down Conversion. One of the selected branches of degenerate PDC (at 800 nm) is sent to the Tomographer, composed by a calcite polarizer, a pinhole, an Interference Filter (20 nm of Full Width at Half Maximum) and a fibre coupler connected by a multimode fibre to a Si-Single Photon Avalanche Diode (SPAD). Being the down converted photons characterized by the same polarization, the polarizer is used to change step by step the efficiency of the tomographer. The correlated branch is sent to the PNR DUC, that is constituted by a 50% − 50% multimode fibre beam splitter whose outputs are connected to two Si-SPADs, while the input port is again connected to the same coupling system described above (it is straightforward to notice that our PNR is able to discriminate between 0, 1 and 2-or-more photons detected per pulse). Th...

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“…[19]. Among the myriad applications of weak measurements are observation of the spin Hall effect [25], resolving quantum paradoxes [26,28], quantum state visualization [27], quantum state tomography [28,29], direct measurement of wavefunction [30,31], probing contextuality [32] , measuring the expectation value of non-Hermitian operators [33,34] and quantum precision thermometry [35].…”

Section: Introductionmentioning

confidence: 99%

Can two quantum Cheshire cats exchange grins?

Das

Pati

2020

New J. Phys.

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A common-sense perception of a physical system is that it is inseparable from its physical properties. The notion of Quantum Chesire Cat challenges this, as far as quantum systems are concerned. It shows that a quantum system can be decoupled from its physical property under suitable pre and postselections. However, in the Quantum Cheisre Cat setup, the decoupling is not permanent. The photon, for example, and its polarization is separated and then recombined. In this paper, we present a thought experiment where we decouple two photons from their respective polarizations and then interchange them during recombination. Thus, our proposal shows that that the belongingness of a property for a physical system is very volatile in the world of quantum mechanics.

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Lundeen replies

Cited by 61 publications

References 2 publications

Endoscopic Plantar Fascia Release

Endoscopic Plantar Fascia Release

Entanglement-assisted calibration of a photon-number-resolving detector

Can two quantum Cheshire cats exchange grins?

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