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We previously extended Luenberger's approach for observer design to the quantum case, and developed a class of coherent observers which tracks linear quantum stochastic systems in the sense of mean values. In light of the fact that the…

Quantum Physics · Physics 2015-09-18 Zibo Miao , Matthew R. James , Valery A. Ugrinovskii

QDN (quantized detector networks) is a description of quantum processes in which the principal focus is on observers and their apparatus, rather than on states of SUOs (systems under observation). It is a realization of Heisenberg's…

Quantum Physics · Physics 2009-11-13 George Jaroszkiewicz

Leveraging the techniques found in the literature on Quantum Equilibration for finite dimensional systems, we develop the theory of Quantum Equilibration for the case of infinite-dimensional systems, particularly the cases where the…

Quantum Physics · Physics 2025-03-13 Alberto Acevedo , Antonio Falco

This paper is concerned with the analysis of linear quantum optical networks. It provides a systematic approach to the construction a model for a given quantum network in terms of a system of quantum stochastic differential equations. This…

Quantum Physics · Physics 2014-03-26 Ian R. Petersen

We present a scheme for simulating the quantum network of quantum estimation proposed by A. K. Ekert et al. [Phys. Rev. Lett. 88, 217901 (2002)]. We experimentally implement the scheme with linear optical elements. We perform overlap…

Quantum Physics · Physics 2007-05-23 Zhi-Wei Wang , Jian Li , Yun-Feng Huang , Yong-Sheng Zhang , Xi-Feng Ren , Pei Zhang , Guang-Can Guo

All computing devices, including quantum computers, must exhibit that for a given input, an output is produced in accordance with the program. The outputs generated by quantum computers that fulfill these requirements are not temporally…

Quantum Physics · Physics 2020-04-06 Yutaka Shikano , Kentaro Tamura , Rudy Raymond

It is shown that a canonical time observable may be defined for any quantum system having a discrete set of energy eigenvalues, thus significantly generalising the known case of time observables for periodic quantum systems (such as the…

Quantum Physics · Physics 2008-05-23 Michael J. W. Hall

The recently established resource theory of quantum coherence allows for a quantitative understanding of the superposition principle, with applications reaching from quantum computing to quantum biology. While different quantifiers of…

This paper presents an algorithm which solves exponentially fast the average consensus problem on strongly connected network of digital links. The algorithm is based on an efficient zooming-in/zooming-out quantization scheme.

Optimization and Control · Mathematics 2011-07-25 Ruggero Carli , Fabio Fagnani , Paolo Frasca , Sandro Zampieri

It is shown that mean value of any observable with bounded spectrum can be uniquely determined from binary statistics of the measurement performed on {\it single} qubit ancilla coupled to a given system. The observable structure is fully…

Quantum Physics · Physics 2009-11-07 Pawel Horodecki

A physical platform for nodes of the envisioned quantum internet is long-sought. Here we propose such a platform, along with a conceptually simple and experimentally uncomplicated quantum information processing scheme, realized in a system…

Quantum Physics · Physics 2021-07-14 Dayang Li , Nika Akopian

Quantum coherence is a central ingredient in quantum physics with several theoretical and technological ramifications. In this work we consider a figure of merit encoding the information on how the coherence generated on average by a…

We introduce the quantum indirect estimation theory, which provides a general framework to address the problem of which ensemble averages can be estimated by means of an available set of measuring apparatuses, e. g. estimate the ensemble…

Quantum Physics · Physics 2008-06-17 Giacomo Mauro D'Ariano , Paolo Perinotti , Massimiliano Federico Sacchi

When one performs a continuous measurement, whether on a classical or quantum system, the measurement provides a certain average rate at which one becomes certain about the state of the system. For a quantum system this is an average rate…

Quantum Physics · Physics 2009-11-10 Kurt Jacobs

In this paper, we study consensus seeking of quantum networks under directed interactions defined by a set of permutation operators among a network of qubits. The state evolution of the quantum network is described by a continuous-time…

Quantum Physics · Physics 2015-05-18 Guodong Shi , Shuangshuang Fu , Ian R. Petersen

A fundamental feature of quantum mechanics is that there are observables which can be measured jointly only when some noise is added to them. Their sharp versions are said to be incompatible. In this work we investigate time-continuous…

Quantum Physics · Physics 2024-06-21 Kalle Raikisto , Kimmo Luoma

In this technical note, we propose a practicable quantized sampled velocity data coupling protocol for synchronization of a set of harmonic oscillators. The coupling protocol is designed in a quantized way via interconnecting the velocities…

Optimization and Control · Mathematics 2019-02-28 Jingyi Wang , Jianwen Feng , Yijun Lou , Guanrong Chen

We characterize the conditions under which a multi-time quantum process with a finite temporal resolution can be approximately described by an equilibrium one. By providing a generalization of the notion of equilibration on average, where a…

Quantum Physics · Physics 2020-10-02 Pedro Figueroa-Romero , Kavan Modi , Felix A. Pollock

A simply structured distributed observer is described for estimating the state of a continuous-time, jointly observable, input-free, linear system whose sensed outputs are distributed across a time-varying network. It is explained how to…

Systems and Control · Electrical Eng. & Systems 2020-03-05 Lili Wang , Ji Liu , A. Stephen Morse

Continuous clocks, i.e. the clocks that measure time in a continuous manner, are regarded as an essential component of sensing technology. Precision and recurrence time are two basic features of continuous clocks. In this paper, in the…

Quantum Physics · Physics 2022-09-02 Mehdi Ramezani , Morteza Nikaeen , Alireza Bahrampour