Quantum optical tests of complementarity

Scully, M. O.; Englert, Berthold-Georg; Walther, H.

doi:10.1038/351111a0

Cited by 838 publications

(740 citation statements)

References 21 publications

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“…(In [5, §2], instead of the term correlated, the term strong was used.) One should note that (25) contains all the entities that appear in (14) plus (explicitly) the correlation operator U a , which is implicitly contained in (14). Expansion (25) makes explicit the fact that the opposite-subsystem eigensub-basis {| i A : ∀i} in (14) is not just any such set of vectors once the eigen-sub-basis {|i B : ∀i} is chosen.…”

Section: Correlated Schmidt Decompositionmentioning

confidence: 99%

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On Schmidt Decomposition: Approach Based on Correlation Operator as Bipartite Entanglement Entity

Herbut

2018

Quanta

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An elaborated review with proofs of Schmidt canonical decomposition of any bipartite state vector is approached through general subsystem basis expansion. The upgraded forms of Schmidt decomposition in terms of correlation operator and twin observables are presented in detail. The discussion is extended to distant measurement, Einstein–Podolsky–Rosen states and Schrödinger's steering. All claims and proofs are given in standard form unlike in the previous articles of the author where all results were obtained utilizing the very rarely used antilinear Hilbert–Schmidt maps of one subsystem state space into the other. For practical reasons the formalism of partial traces with their rules and reduced density operators together with correlation operator are used.Quanta 2018; 7: 19–39.

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Section: Correlated Schmidt Decompositionmentioning

confidence: 99%

“…A well-known special case of steering is quantum erasure [25]. For instance, the well-known two-slit interference disappears when linear polarizers, a vertical and a horizontal one, are put on the respective slits [26] because entanglement with the polarization (internal degree of freedom) suppresses the coherence.…”

Section: Schrödinger's Steeringmentioning

confidence: 99%

On Schmidt Decomposition: Approach Based on Correlation Operator as Bipartite Entanglement Entity

Herbut

2018

Quanta

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“…Rather, since Bohr, it is known that the true nature of a quantum phenomenon can only be understood by obtaining evidence through complementary measurements. In practical terms, this means that if some measurement is absolutely predictable and its a priori outcome certain, then there is a complementary measurement whose outcome will be completely uncertain [86].…”

Section: The Coherent Control Interferometermentioning

confidence: 99%

An Approach To “Quantumness” In Coherent Control

Scholak

Brumer

2017

Advances in Chemical Physics

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Developments in the foundations of quantum mechanics have identified several attributes and tests associated with the "quantumness" of systems, including entanglement, nonlocality, quantum erasure, Bell test, etc.. Here we introduce and utilize these tools to examine the role of quantum coherence and nonclassical effects in 1 vs. N photon coherent phase control, a paradigm for an all-optical method for manipulating molecular dynamics. In addition, truly quantum control scenarios are introduced and examined. The approach adopted here serves as a template for studies of the role of quantum mechanics in other coherent control and optimal control scenarios.

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“…However, as a specific example, let us look at a variation of the famous quantum eraser setup by Scully et al [2], shown in Fig. 3.…”

Section: Example: the Micromasermentioning

confidence: 99%

“…Which-way detection schemes [1][2][3][4][5][6][7][8][9][10][11][12][13] in a two-way interferometer and quantum erasure [2,[14][15][16][17][18][19] are two strongly related phenomena. In both cases the setup consists of an interferometer featuring an auxiliary quantum system which detects the path of the interfering quantum mechanical object (quanton).…”

Section: Introductionmentioning

confidence: 99%

Phase-dependent which-way information

Schilling

Zanthier

2012

Physics Letters A

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We introduce a new observable for reading out a which-way detector in a Young-type interferometer whose eigenstates either contain full which-way information or none at all. We calculate the which-way knowledge K that can be retrieved from this observable and find that K depends on the phase difference δ that the interfering object accumulates on its way from either slit to the detector. In particular, it turns out that K(δ) has an upper bound of 1, almost independent of the visibility V of the interference pattern generated by the interfering object on a screen, which is in marked contrast to the well-known inequality K 2 + V 2 ≤ 1 (cf. B.-G. Englert, Phys. Rev. Lett. 77, 2154Lett. 77, (1996).

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Quantum optical tests of complementarity

Cited by 838 publications

References 21 publications

On Schmidt Decomposition: Approach Based on Correlation Operator as Bipartite Entanglement Entity

On Schmidt Decomposition: Approach Based on Correlation Operator as Bipartite Entanglement Entity

An Approach To “Quantumness” In Coherent Control

Phase-dependent which-way information

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