Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Australian Control Conference

On the response of linear quantum stochastic systems to single-photon inputs and pulse shaping of photon wave packets

Guofeng Zhang, M. R. James

Published Jan 1, 2011• 5 citations
OpenAlex

Abstract

The purpose of this paper is to study the response of linear quantum stochastic systems to continuous mode single photon input fields. Given multi-channel continuous-mode single-photon input fields interacting with a linear quantum optical system which may contain active components, two expressions for the corresponding mean steady state output intensity are derived. In the single channel case, a synthesis theorem is proposed for pulse shaping of single-photon wave packets by all-pass quantum optics networks. Moreover, for the all-pass case, the steady-state states of output fields are derived. Several examples illustrate the main results.

Related papers

Quantum master equation and filter for systems driven by fields in a single photon state

John E. Gough, M. R. James, Hendra I. Nurdin

The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.

arXiv:1107.2973•IEEE Conference on Decision and Control (CDC)•Dec 1, 2011•13 citations

Analysis of Quantum Linear Systems' Response to Multi-photon States

Guo‐Feng Zhang

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 unfactorizable multi-photon states are treated. Pulse information of multi-photon input state is encoded in terms of tensor, and response of quantum linear systems to multi-photon input states is characterized by tensor operations. Analytic forms of output correlation functions and output states are derived. The proposed framework is applicable no matter whether the underlying quantum dynamic system is passive or active. The results presented here generalize those in the single-photon setting studied in (Milburn, 2008) and (Zhang and James, 2013}). Moreover, interesting multi-photon interference phenomena studied in (Sanaka, Resch, and Zeilinger, 2006), (Ou, 2007), and (Bartley, et al., 2012) can be reproduced in the proposed framework

arXiv:1311.0357•Nov 2, 2013•3 citations

Quantum Master Equation and Filter for Systems Driven by Fields in a Single Photon State

John Edward Gough, M. R. James, Hendra I. Nurdin

Abstract — The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are de-scribed using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results. I.

•Sep 3, 2016•19 citations

On the Response of a Two-Level System to Two-Photon Inputs

Z. Y. Dong, Guofeng Zhang, Nina H. Amini

The purpose of this paper is to study the interaction between a two-level system (qubit) and two continuous-mode photons. Two scenarios are investigated: Case 1, how a two-level system changes the pulse shapes of two input photons propagating in a single input channel; and Case 2, how a two-level system responds to two counterpropagating photons, one in each input channel. The steady-state output field states for both cases are derived analytically in both the time and frequency domains. Numerical simulations demonstrate rich and interesting two-photon scattering phenomena induced by a two-level system.

arXiv:1801.03675•SIAM Journal on Control and Optimization•Jan 1, 2019•15 citations

On the Response of Quantum Linear Systems to Single Photon Input Fields

Guofeng Zhang, M. R. James

The purpose of this paper is to extend linear systems and signals theory to include single photon quantum signals. We provide detailed results describing how quantum linear systems respond to multichannel single photon quantum signals. In particular, we characterize the class of states (which we call photon-Gaussian states) that result when multichannel photons are input to a quantum linear system. We show that this class of quantum states is preserved by quantum linear systems. Multichannel photon-Gaussian states are defined via the action of certain creation and annihilation operators on Gaussian states. Our results show how the output states are determined from the input states through a pair of transfer function relations. We also provide equations from which output signal intensities can be computed. Examples from quantum optics are provided to illustrate the results.

arXiv:1212.1862•IEEE Transactions on Automatic Control•Nov 30, 2012•64 citations

Analysis of non-Markovian passive quantum linear systems’ response to single-photon input fields*

Zhengyi Sun, Shibei Xue, Zibo Miao +4 more

In this paper, we analyze the response of passive quantum linear systems in a non-Markovian environment to single photon input fields. Based on an augmented modelling method for non-Markovian quantum systems, analytic forms of output intensity and output covariance function in steady-state are derived. These results allow us to quantitatively analyze the influence of non-Markovian environment on system response under a framework of linear system theory.

IFAC-PapersOnLine•Jan 1, 2023•0 citations
The purpose of this paper is to study the response of linear quantum stochastic systems to continuous mode single photon input fields. Given multi-channel continuous-mode single-photon input fields interacting with a linear quantum optical system which may contain active components, two expressions for the corresponding mean steady state output intensity are derived. In the single channel case, a synthesis theorem is proposed for pulse shaping of single-photon wave packets by all-pass quantum optics networks. Moreover, for the all-pass case, the steady-state states of output fields are derived. Several examples illustrate the main results.
The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are described using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results.
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 unfactorizable multi-photon states are treated. Pulse information of multi-photon input state is encoded in terms of tensor, and response of quantum linear systems to multi-photon input states is characterized by tensor operations. Analytic forms of output correlation functions and output states are derived. The proposed framework is applicable no matter whether the underlying quantum dynamic system is passive or active. The results presented here generalize those in the single-photon setting studied in (Milburn, 2008) and (Zhang and James, 2013}). Moreover, interesting multi-photon interference phenomena studied in (Sanaka, Resch, and Zeilinger, 2006), (Ou, 2007), and (Bartley, et al., 2012) can be reproduced in the proposed framework
Abstract — The aim of this paper is to determine quantum master and filter equations for systems coupled to continuous-mode single photon fields. The system and field are de-scribed using a quantum stochastic unitary model, where the continuous-mode single photon state for the field is determined by a wavepacket pulse shape. The master equation is derived from this model and is given in terms of a system of coupled equations. The output field carries information about the system from the scattered photon, and is continuously monitored. The quantum filter is determined with the aid of an embedding of the system into a larger system, and is given by a system of coupled stochastic differential equations. An example is provided to illustrate the main results. I.
The purpose of this paper is to study the interaction between a two-level system (qubit) and two continuous-mode photons. Two scenarios are investigated: Case 1, how a two-level system changes the pulse shapes of two input photons propagating in a single input channel; and Case 2, how a two-level system responds to two counterpropagating photons, one in each input channel. The steady-state output field states for both cases are derived analytically in both the time and frequency domains. Numerical simulations demonstrate rich and interesting two-photon scattering phenomena induced by a two-level system.
The purpose of this paper is to extend linear systems and signals theory to include single photon quantum signals. We provide detailed results describing how quantum linear systems respond to multichannel single photon quantum signals. In particular, we characterize the class of states (which we call photon-Gaussian states) that result when multichannel photons are input to a quantum linear system. We show that this class of quantum states is preserved by quantum linear systems. Multichannel photon-Gaussian states are defined via the action of certain creation and annihilation operators on Gaussian states. Our results show how the output states are determined from the input states through a pair of transfer function relations. We also provide equations from which output signal intensities can be computed. Examples from quantum optics are provided to illustrate the results.