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The purpose of this paper is to present a mathematical framework for analyzing the response of quantum linear systems driven by multi-photon states. Both the factorizable (namely, no correlation among the photons in the channel) and…

Quantum Physics · Physics 2013-11-05 Guofeng Zhang

In this paper, we investigate the dynamics of quantum linear systems where the input signals are multi-channel multi-photon states, namely states determined by a definite number of photons superposed in multiple input channels. In contrast…

Quantum Physics · Physics 2017-05-11 Guofeng Zhang

Single-photon states, which carry quantum information and coherently interact with quantum systems, are vital to the realization of all-optical engineered quantum networks. In this paper we derive the analytical form of the output field…

Quantum Physics · Physics 2016-03-22 Yu Pan , Guofeng Zhang , Matthew R. James

In this survey, we first introduce quantum fields and open quantum systems, then we present continuous-mode single-photon states and discuss discrete measurements of a single-photon field. After that, we introduce linear quantum systems and…

Quantum Physics · Physics 2021-07-21 Guofeng Zhang

Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, however, one might obtain a system that is difficult to realize…

Quantum Physics · Physics 2017-04-06 Shan Ma , Ian R. Petersen , Matthew J. Woolley

The single-photon quantum filtering problems have been investigated recently with applications in quantum computing. In practice, the detector responds with a quantum efficiency of less than unity since there exists some mode mismatch…

Quantum Physics · Physics 2018-01-11 Zhiyuan Dong , Guofeng Zhang , Nina H. Amini

In this paper, we derive the stochastic master equations for quantum systems driven by a single-photon input state which is contaminated by quantum vacuum noise. To improve estimation performance, quantum filters based on multiple-channel…

Quantum Physics · Physics 2015-11-30 Zhiyuan Dong , Guofeng Zhang , Nina H. Amini

Integrated single-photon detectors open new possibilities for monitoring inside quantum photonic circuits. We present a concept for the in-line measurement of spatially-encoded multi-photon quantum states, while keeping the transmitted ones…

Gaussian states are ubiquitous in quantum optics and information processing, and it is essential to have effective tools for their characterization. One such tool is a photon-number-resolving detector, and the simplest configuration…

Quantum Physics · Physics 2025-12-12 Arik Avagyan , Emanuel Knill , Scott Glancy

The purpose of this tutorial is to give a brief introduction to linear quantum control systems. The mathematical model of linear quantum control systems is presented first, then some fundamental control-theoretic notions such as stability,…

Quantum Physics · Physics 2022-05-26 Guofeng Zhang , Zhiyuan Dong

The purpose of this paper is to determine quantum master and filter equations for systems coupled to fields in certain non-classical continuous-mode states. Specifically, we consider two types of field states (i) single photon states, and…

Quantum Physics · Physics 2011-07-18 J. E. Gough , M. R. James , H. I. Nurdin

We propose an experimental method of recognizing quantum non-Gaussian multiphoton states. This is a native quantum property of Fock states, the fundamental quantum states with a constant number of particles. Our method allows experimental…

Quantum non-Gaussian states of photons and phonons are conclusive and direct witnesses of higher-than-quadratic nonlinearities in optical and mechanical processes. Moreover, they are proven resources for quantum sensing, communication and…

Quantum Physics · Physics 2025-03-14 Lukáš Lachman , Radim Filip

Proofs of the quantum advantage available in imaging or detecting objects under quantum illumination can rely on optimal measurements without specifying what they are. We use the continuous-variable Gaussian quantum information formalism to…

Quantum Physics · Physics 2021-03-04 Hao Yang , Wojciech Roga , Jonathan D. Pritchard , John Jeffers

Single photon emitters often rely on a strong nonlinearity to make the behaviour of a quantum mode susceptible to a change in the number of quanta between one and two. In most systems the strength of nonlinearity is weak, such that changes…

Mesoscale and Nanoscale Physics · Physics 2011-01-13 T C H Liew , V Savona

We introduce the quantum stochastic differential equation (QSDE) approach to exactly analyze of the response of quantum systems to a continuous-mode two-photon input. The QSDE description of the two-photon process allows us to integrate the…

Quantum Physics · Physics 2016-03-07 Yu Pan , Daoyi Dong , Guofeng Zhang

Multi-photon states are widely applied in quantum information technology. By the methods presented in this paper, the structure of a multi-photon state in the form of multiple single photon qubit product can be mapped to a single photon…

Quantum Physics · Physics 2009-10-16 Qing Lin , Bing He , János A. Bergou , Yuhang Ren

We present a framework for studying bosonic non-Gaussian channels of continuous-variable systems. Our emphasis is on a class of channels that we call photon-added Gaussian channels, which are experimentally viable with current…

Quantum Physics · Physics 2017-06-06 Krishna Kumar Sabapathy , Andreas Winter

We formulate the notion of quantum channels in the framework of quantum tomography and address there the issue of whether such maps can be regarded as classical stochastic maps. In particular kernels of maps acting on probability…

Quantum Physics · Physics 2018-06-06 G. G. Amosov , S. Mancini , V. I. Man'ko

Single photon detection generally consists of several stages: the photon has to interact with one or more charged particles, its excitation energy will be converted into other forms of energy, and amplification to a macroscopic signal must…

Quantum Physics · Physics 2019-10-09 Tzula B. Propp , S. J. van Enk
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