Quantum Theory of Multiport Optical Homodyning

Walker, N.G.

doi:10.1080/09500348714550131

Cited by 128 publications

(37 citation statements)

References 58 publications

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“…It is worth noting that, contrary to the Wigner function, the Husimi function is a phase-space function that can directly be measured in multiport balanced homodyning using six-port [21,22] or eight-port schemes [23,24]. Expanding |β in the Fock basis,…”

Section: Husimi Functionmentioning

confidence: 99%

Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter

et al. 1997

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A scheme for generating Schrödinger cat-like states of a single-mode optical field by means of conditional measurement is proposed. Feeding into a beam splitter a squeezed vacuum and counting the photons in one of the output channels, the conditional states in the other output channel exhibit a number of properties that are very similar to those of superpositions of two coherent states with opposite phases. We present analytical and numerical results for the photon-number and quadrature-component distributions of the conditional states and their Wigner and Husimi functions. Further, we discuss the effect of realistic photocounting on the states.

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Section: Husimi Functionmentioning

confidence: 99%

Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter

et al. 1997

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“…There seem to be several communities in quantum optics and optical communication where these implementations were achieved independently. The experiment of Walker and Carrol [43] is perhaps the first realization, with a theoretical analysis by Walker [44] yielding the associated phase space observable. This seems to have been anticipated theoretically by Yuen and Shapiro [45].…”

Section: 2mentioning

confidence: 99%

Heisenberg's uncertainty principle

2007

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Abstract. Heisenberg's uncertainty principle is usually taken to express a limitation of operational possibilities imposed by quantum mechanics. Here we demonstrate that the full content of this principle also includes its positive role as a condition ensuring that mutually exclusive experimental options can be reconciled if an appropriate trade-off is accepted. The uncertainty principle is shown to appear in three manifestations, in the form of uncertainty relations: for the widths of the position and momentum distributions in any quantum state; for the inaccuracies of any joint measurement of these quantities; and for the inaccuracy of a measurement of one of the quantities and the ensuing disturbance in the distribution of the other quantity. Whilst conceptually distinct, these three kinds of uncertainty relations are shown to be closely related formally. Finally, we survey models and experimental implementations of joint measurements of position and momentum and comment briefly on the status of experimental tests of the uncertainty principle.

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“…Bob records the results of the heterodyne measurement in a two-dimensional histogram, which represents the Qfunction [7,23,24,25,26,27]:…”

Section: Prepareandmeasure Quantum Key Distribution and Verificatiomentioning

confidence: 99%

“…We present a prepare&measure type setup, which uses the polarization of coherent light pulses to generate nonorthogonal quantum states. The pulses are characterized by a heterodyne measurement [6] on Bob's side, allowing for a reconstruction of their antinormal ordered quasi-distribution, or Q-function [7]. We show for this particular system that we can prove effective entanglement for the prepared quantum states using a model developed by Rigas et al [8,9].…”

Section: Introductionmentioning

confidence: 99%

Witnessing effective entanglement in a continuous variable prepare-and-measure setup and application to a quantum key distribution scheme using postselection

et al. 2006

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We report an experimental demonstration of effective entanglement in a prepare&measure type of quantum key distribution protocol. Coherent polarization states and heterodyne measurement to characterize the transmitted quantum states are used, thus enabling us to reconstruct directly their Q-function. By evaluating the excess noise of the states, we experimentally demonstrate that they fulfill a non-separability criterion previously presented by Rigas et al. [J. Rigas, O. Gühne, N. Lütkenhaus, Phys. Rev. A 73, 012341 (2006)]. For a restricted eavesdropping scenario we predict key rates using postselection of the heterodyne measurement results.

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Quantum Theory of Multiport Optical Homodyning

Cited by 128 publications

References 58 publications

Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter

Generating Schrödinger-cat-like states by means of conditional measurements on a beam splitter

Heisenberg's uncertainty principle

Witnessing effective entanglement in a continuous variable prepare-and-measure setup and application to a quantum key distribution scheme using postselection

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