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We derive a measurement operator corresponding to a quantum nondemolition (QND) measurement of an atomic ensemble. The quantum measurement operator takes the form of a positive operator valued measure (POVM) and is valid for arbitrary…

The quantum-mechanical state vector is not directly observable even though it is the fundamental variable that appears in Schrodinger's equation. In conventional time-dependent perturbation theory, the state vector must be calculated before…

量子物理 · 物理学 2009-11-07 J. D. Franson , Michelle M. Donegan

We propose a protocol for coherently transferring non-Gaussian quantum states from optical field to a mechanical oscillator. The open quantum dynamics and continuous-measurement process, which can not be treated by the…

In quantum mechanics, we define the measuring system $M$ in a selective measurement by two conditions. Firstly, when we define the measured system $S$ as the system in which the non-selective measurement part acts, $M$ is independent from…

量子物理 · 物理学 2021-09-28 Eiji Konishi

The problem of photon adding and subtracting is studied, using conditional output measurement on a beam splitter. It is shown that for various classes of states the corresponding photon-added and -subtracted states can be prepared.…

量子物理 · 物理学 2007-05-23 D. -G. Welsch , M. Dakna , L. Knoll , T. Opatrny

Any optical quantum information processing machine would be comprised of fully-characterized constituent devices for both single state manipulations and tasks involving the interaction between multiple quantum optical states. Ideally for…

量子物理 · 物理学 2015-05-18 Connor Kupchak , Samuel Rind , Bertus Jordaan , Eden Figueroa

We consider quantum state tomography with measurement procedures of the following type: First, we subject the quantum state we aim to identify to a know time evolution for a desired period of time. Afterwards we perform a measurement with a…

量子物理 · 物理学 2017-01-24 Michael Kech

We develop a general formalism, based on the Wigner function representation of continuous-variable quantum states, to describe the action of an arbitrary conditional operation on a multimode Gaussian state. We apply this formalism to…

量子物理 · 物理学 2020-10-28 Mattia Walschaers , Valentina Parigi , Nicolas Treps

This paper provides unified calculations regarding certain measures and transformations in interacting particle systems. More specifically, we provide certain general conditions under which an interacting particle system will have a…

概率论 · 数学 2024-09-20 Jeffrey Kuan

In this paper, without any priori assumption about the post-measurement state of system, we will examine how this state is restricted by assuming each of these following assumptions. First, by using this reasonable assumption that two…

量子物理 · 物理学 2007-05-23 Iman Marvian

We propose a probabilistic quantum protocol to realize a nonlinear transformation of qutrit states, which by iterative applications on ensembles can be used to distinguish two types of pure states. The protocol involves single-qutrit and…

量子物理 · 物理学 2018-11-20 P. V. Pyshkin , A. Gábris , O. Kálmán , I. Jex , T. Kiss

We present an optical implementation of two programmable quantum measurement devices. The first one serves for unambiguous discrimination of two nonorthogonal states of a qubit. The particular pair of states to be discriminated is specified…

量子物理 · 物理学 2009-11-10 Jan Soubusta , Antonin Cernoch , Jaromir Fiurasek , Miloslav Dusek

We analyse the conditional states in which one part of a split spin-squeezed state is left, upon performing a collective spin measurement on the other part. For appropriate measurement directions and outcomes, we see the possibility of…

量子物理 · 物理学 2023-12-20 Jiajie Guo , Fengxiao Sun , Qiongyi He , Matteo Fadel

In this work we have explored few tools in Quantum State Tomography for Continuous Variable Systems. The concept of quantum states in phase space representation is introduced in a simple manner by using a few statistical concepts. Unlike…

量子物理 · 物理学 2019-12-12 Ludmila Botelho

We consider the problem of distinguishing, with minimum probability of error, two optical beam-splitter channels with unequal complex-valued reflectivities using general quantum probe states entangled over M signal and M' idler mode pairs…

量子物理 · 物理学 2015-03-19 Ranjith Nair

In analogy with conventional quantum mechanics, non-commutative quantum mechanics is formulated as a quantum system on the Hilbert space of Hilbert-Schmidt operators acting on non-commutative configuration space. It is argued that the…

数学物理 · 物理学 2009-04-17 F G Scholtz , L Gouba , A Hafver , C M Rohwer

We propose an operational measure of distance of two quantum states, which conversely tells us their closeness. This is defined as a sum of differences in partial knowledge over a complete set of mutually complementary measurements for the…

量子物理 · 物理学 2009-11-10 Jinhyoung Lee , M. S. Kim , Caslav Brukner

In this work quantum metrology techniques are applied to the imaging of objects with a non-uniform refractive spatial profile. A sensible improvement on the classical accuracy is shown to be found when the "Twin Beam State" (TWB) is used.…

光学 · 物理学 2020-09-21 Giuseppe Ortolano , Ivano Ruo Berchera , Enrico Predazzi

Conditional Measurement scheme which employs linear optical elements and photon detection is the fertile ground for nonclassical state generation. We consider a simple setup that requires a coherent state and a number state as inputs of the…

量子物理 · 物理学 2024-12-30 Devibala Esakkimuthu , Basherrudin Mahmud Ahmed A

We introduce new representations to formulate quantum mechanics on noncommutative coordinate space, which explicitly display entanglement properties between degrees of freedom of different coordinate components and hence could be called…

高能物理 - 理论 · 物理学 2007-05-23 S. C. Jing , Q. Y. Liu , H. Y. Fan