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We present a detailed theoretical treatment of four-wave mixing (FWM) in a quantized paraxial framework, capturing the multi-spatial-mode nature of the biphoton state generated in the process. By analyzing the biphoton state both in…

Quantum Physics · Physics 2025-12-12 Mateus R. L. da Motta , Sandra S. Vianna

Ascertaining the physical state of a system is vital in order to understand and predict its behaviour. Tomography is a standard approach used to determine the form of an unknown state. Here we show that an alternative approach, based on…

Quantum Physics · Physics 2013-11-01 Jeff Z. Salvail , Megan Agnew , Allan S. Johnson , Eliot Bolduc , Jonathan Leach , Robert W. Boyd

Entanglement of any pure state of an N times N bi-partite quantum system may be characterized by the vector of coefficients arising by its Schmidt decomposition. We analyze various measures of entanglement derived from the generalized…

Quantum Physics · Physics 2009-11-07 Karol Zyczkowski , Ingemar Bengtsson

We show that by injecting a light pulse prepared in a non-Gaussian quantum state into the dark port of a two-arm interferometer, it is possible to detect a given phase shift with the fidelity which is limited only by the optical losses and…

Quantum Physics · Physics 2018-12-11 F. Ya. Khalili

We investigate quantum metrology in a degenerate down-conversion system composed of a pump mode and two degenerate signal modes. In the conventional parametric approximation, the pump mode is assumed to be constant, not a quantum operator.…

Quantum Physics · Physics 2024-04-25 Dong Xie , Chunling Xu

It is important to find feasible measurement bounds for quantum information protocols. We present analytic bounds for quantum illumination with Gaussian states when using an on-off detection or a photon number resolving (PNR) detection,…

Quantum Physics · Physics 2023-11-06 Su-Yong Lee , Dong Hwan Kim , Yonggi Jo , Taek Jeong , Duk Y. Kim , Zaeill Kim

Recently proposed correlation-matrix based sufficient conditions for bipartite steerability from Alice to Bob are applied to local informationally complete positive operator valued measures (POVMs) of the $(N,M)$-type. These POVMs allow for…

Quantum Physics · Physics 2023-05-30 Maximilian Schumacher , Gernot Alber

The inclusive Higgs production rate through gluon fusion has been measured to be in agreement with the Standard Model (SM). We show that even if the inclusive Higgs production rate is very SM-like, a precise determination of the boosted…

High Energy Physics - Phenomenology · Physics 2015-06-19 Matthias Schlaffer , Michael Spannowsky , Michihisa Takeuchi , Andreas Weiler , Chris Wymant

We present the first measurement of squeezed-state entanglement between the twin beams produced in an Optical Parametric Oscillator (OPO) operating above threshold. Besides the usual squeezing in the intensity difference between the twin…

Quantum Physics · Physics 2009-11-11 A. S. Villar , L. S. Cruz , K. N. Cassemiro , M. Martinelli , P. Nussenzveig

We show that the convex set of separable mixed states of the 2 x 2 system is a body of constant height. This fact is used to prove that the probability to find a random state to be separable equals 2 times the probability to find a random…

Quantum Physics · Physics 2009-11-11 Stanislaw Szarek , Ingemar Bengtsson , Karol Zyczkowski

We show the equivalence between two different communication schemes that employ a couple of modes of the electromagnetic field. One scheme uses unconventional heterodyne detection, with correlated signal and image-band modes in a twin-beam…

Quantum Physics · Physics 2009-10-30 Giacomo Mauro D'Ariano , Massimiliano Sacchi

It is well known that the Schmidt decomposition exists for all pure states of a two-party quantum system. We demonstrate that there are two ways to obtain an analogous decomposition for arbitrary rank-1 operators acting on states of a…

Quantum Physics · Physics 2020-02-17 Christopher Eltschka , Jens Siewert

Based on correlations of coherently displaced photon-numbers, we derive entanglement criteria for the purpose to verify non-Gaussian entanglement. Our construction method enables us to verify bipartite and multipartite entanglement of…

Quantum Physics · Physics 2017-09-08 B. Kühn , W. Vogel , J. Sperling

Quantum metrology utilizes nonclassical states to improve the precision of measurement devices. In this context, strongly squeezed vacuum states of light have proven to be a useful resource. They are typically produced by spontaneous…

By exploiting the permutation symmetry of Dick states, we derive closed analytical expressions of Schmidt decompositions for {\it all} possible bipartitions of a system described by this kind of state. This allows us to exhaustively compute…

Quantum Physics · Physics 2018-01-03 M. G. M. Moreno , Fernando Parisio

We show how to use two-mode squeezed light to exponentially enhance cavity-based dispersive qubit measurement. Our scheme enables true Heisenberg-limited scaling of the measurement, and crucially, is not restricted to small dispersive…

Quantum Physics · Physics 2015-08-31 Nicolas Didier , Archana Kamal , William D. Oliver , Alexandre Blais , Aashish A. Clerk

Robust and reliable method for reconstructing quasi-distributions of integrated intensities of twin beams generated in spontaneous parametric down-conversion and entangled in photon numbers is suggested. It utilizes the first and second…

Quantum Physics · Physics 2015-06-12 Jan Perina , Ondrej Haderka , Vaclav Michalek , Martin Hamar

In general, the state of a quantum system represented by density operator and its determination is a fundamental problem in quantum mechanics. A method of direct measurement of matrix element of density operator of a single two dimensional…

Quantum Physics · Physics 2022-02-16 Yusuf Turek

Along with the growing interest in using the transverse-spatial modes of light in quantum and classical optics applications, developing an accurate and efficient measurement method has gained importance. Here, we present a technique relying…

Quantum Physics · Physics 2020-01-08 Markus Hiekkamäki , Shashi Prabhakar , Robert Fickler

We present an experimental method to measure the transverse spatial quantum state of an optical field in coordinate space at the single-photon level. The continuous-variable measurements are made with a photon-counting, parity-inverting…

Quantum Physics · Physics 2009-11-11 Brian J. Smith , Bryan Killett , M. G. Raymer , I. A. Walmsley , K. Banaszek