D. M. Dring

Reid, Derek A.

doi:10.1038/277160a0

Cited by 12 publications

(23 citation statements)

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“…(5) and the weaker EPR criterion are essentially equivalent when applied to observablesr j , s j with trivial commutation rules. In order to show this, it is sufficient to observe that the uncertainties (∆û) 2 and (∆v) 2 give an upper bound for the errors in the inferred measurements of the observables a 1r1 and b 1ŝ1 obtained through a direct measurement of the operators −a 2r2 and −b 2ŝ2 onρ (see [6,7] for more details about the definition of the inferred measurements). The comparison with Simon's criterion is obtained considering the case in whichr j ,ŝ j are linear combinations of the positionq j and momentump j operators of the j−th system, i.e.r…”

Section: Relation With Other Criteriamentioning

confidence: 99%

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Characterizing the entanglement of bipartite quantum systems

et al. 2003

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Section: Relation With Other Criteriamentioning

confidence: 99%

“…For discrete variable systems the Peres-Horodecki criterion [5] constitutes a theoretical tool to investigate the separability. Recently, different criteria have been also proposed for continuous variable systems [6,7,8,9,10,11]. Nevertheless a unifying criterion, of practical use, does not yet exist.…”

Section: Introductionmentioning

confidence: 99%

Characterizing the entanglement of bipartite quantum systems

et al. 2003

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“…Similarly ∆ infP 2 b is the uncertainty inP 2 b based on the measurementX a ; and | Ĉ b | inf is the magnitude of the mean value ofĈ b based on the measurementX a . An EPR steering inequality is obtained by replacing the quantities of an uncertainty relation (in this case (2)) with their predicted ("inferred") values [25,34,35]. In Section II, we summarise the Local Hidden State (LHS) Model developed by Wiseman, Jones and Doherty [22].…”

Section: Introductionmentioning

confidence: 99%

Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities

et al. 2016

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We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by 1 √ 2 {|N |0 + |0 |N }, called the two-mode NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms an EPR steering between the two modes and involves certification of an intermode correlation for number, as well as quadrature phase amplitude measurements. We also explain how the signatures certify an N th order quantum coherence, so the system (for larger N ) can be signified to be in a superposition of states distinct by a mesoscopic value of the two-mode quantum number difference. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realisations may be possible for N = 2, 3.

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“…quadrature component distribution [5]. We note that such behavior mainly occurs only for large amplitudes of coherent states composing SCSs when macroscop ically distinguishable outcomes are observed by a homodyne measurement [6]. We also note negative values in the Wigner functions of the SCSs [7], which are manifestation of their nonclassical properties.…”

Section: Introductionmentioning

confidence: 93%

Generation of displaced squeezed superpositions of coherent states

Podoshvedov

2012

J. Exp. Theor. Phys.

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We study the method of generation of states that approximate superpositions of large amplitude coherent states (SCSs) with high fidelity in free traveling fields. Our approach is based on the representation of an arbitrary single mode pure state, and SCSs in particular, in terms of displaced number states with an arbitrary displacement amplitude. The proposed optical scheme is based on alternation of photon additions and displacement operators (in the general case, N photon additions and N -1 displacements are required) with a seed coherent state to generate both even and odd displaced squeezed SCSs regardless of the parity of the used photon additions. It is shown that the optical scheme studied is sensitive to the seed coherent state if the other parameters are unchanged. Output states can approximate either even squeezed SCS or odd SCS shifted relative to each other by some value. This allows constructing a local rotation operator, in particular, the Hadamard gate, which is a mainframe element for quantum computation with coherent states. We also show that three photon additions with two intermediate displacement operators are sufficient to generate even displaced squeezed SCS with the amplitude 1.7 and fidelity more than 0.99. The effects deteriorating the quality of output states are considered.

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D. M. Dring

Cited by 12 publications

References 0 publications

Characterizing the entanglement of bipartite quantum systems

Characterizing the entanglement of bipartite quantum systems

Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities

Generation of displaced squeezed superpositions of coherent states

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