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Quantum filter for a non-Markovian single qubit system

Shibei Xue, Matthew R. James, Alireza Shabani, Valery Ugrinovskii, Ian R. Petersen
2015 2015 IEEE Conference on Control Applications (CCA)  
In this paper, a quantum filter for estimating the states of a non-Markovian qubit system is presented in an augmented Markovian system framework including both the qubit system of interest and multi-ancillary  ...  systems for representing the internal modes of the non-Markovian environment.  ...  QUANTUM FILTERING FOR NON-MARKOVIAN QUANTUM SYSTEM A.  ... 
doi:10.1109/cca.2015.7320609 dblp:conf/IEEEcca/XueJSUP15 fatcat:slu5qrw7xnfhrkk2jjqg54wjyy

Modelling and Filtering for Non-Markovian Quantum Systems [article]

Shibei Xue, Thien Nguyen, Matthew R. James, Alireza Shabani, Valery Ugrinovskii, Ian R. Petersen
2017 arXiv   pre-print
Examples are presented to illustrate how whitening quantum filters can be utilized for estimating non-Markovian linear quantum systems and qubit systems.  ...  To demonstrate the utility of the proposed augmented system model, it is applied to design whitening quantum filters for non-Markovian quantum systems.  ...  quantum filter.  ... 
arXiv:1704.00986v1 fatcat:jkipxzpvy5gubjiervdwfv2i3q

Non-Markovian quantum dynamics: What is it good for?

C.-F. Li, G.-C. Guo, J. Piilo
2020 Europhysics letters  
We describe here recent experimental advances for open system studies, focussing in particular to non-Markovian dynamics including the applications of memory effects, and discuss the possibilities for  ...  This includes experimental characterization and quantification of non-Markovian memory effects and proof-of-principle demonstrations how to use them for certain quantum communication and information tasks  ...  Non-Markovian open systems have rich dynamical features and -in general -there exists a large number of quantifiers for non-Markovianity of quantum dynamics [29, [31] [32] [33] [34] [35] [36] [37] .  ... 
doi:10.1209/0295-5075/128/30001 fatcat:tptyeugdevannohieaa7bm6tga

Experimental investigation of Markovian and non-Markovian channel addition [article]

S. A. Uriri, F. Wudarski, I. Sinayskiy, F. Petruccione, M. S. Tame
2019 arXiv   pre-print
Here, we experimentally investigate this non-convexity in a photonic setup by subjecting a single qubit to a convex combination of Markovian and non-Markovian channels.  ...  The study of memory effects in quantum channels helps in developing characterization methods for open quantum systems and strategies for quantum error correction.  ...  Tashima for discussions during the early stages of the work.  ... 
arXiv:1908.08085v1 fatcat:3bza2zh3ljhdfdm77k4sjambeq

General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control

Gerardo A. Paz-Silva, Lorenza Viola
2014 Physical Review Letters  
We present a general transfer-function approach to noise filtering in open-loop Hamiltonian engineering protocols for open quantum systems.  ...  We show how to identify a computationally tractable set of fundamental filter functions, out of which arbitrary transfer filter functions may be assembled up to arbitrary high order in principle.  ...  Challenge: To build a general theory for open-loop noise filtering in non-Markovian quantum systems.  ... 
doi:10.1103/physrevlett.113.250501 pmid:25554866 fatcat:ure7dvu2dvb7fkuogc72wtlvmi

Experimental emulation of quantum non-Markovian dynamics and coherence protection in the presence of information backflow

Deepak Khurana, Bijay Kumar Agarwalla, T. S. Mahesh
2019 Physical Review A  
Specifically, we use a randomized set of external radio-frequency fields to engineer a desired noise power-spectrum to effectively realize a non-Markovian environment for a single NMR qubit.  ...  Using the filter function formalism, we design optimized DD sequences that maximize coherence protection for non-Markovian environments and study their efficiencies experimentally.  ...  It suggests that we can mimic the non-Markovian dynamics of a single qubit coupled to a bosonic environment with a synthetic noise power spectrum.  ... 
doi:10.1103/physreva.99.022107 fatcat:g3rbkbqqpjhprfbhds2ov53qpm

Optimal control of non-Markovian open quantum systems via feedback [article]

Zairong Xi, Wei Cui, Yu Pan
2010 arXiv   pre-print
The problem of optimal control of non-Markovian open quantum system via weak measurement is presented.  ...  Based on the non-Markovian master equation, we evaluate exactly the non-Markovian effect on the dynamics of the system of interest interacting with a dissipative reservoir.  ...  Thus, a single current-biased Josephson junction can be considered as a multi-qubit register.  ... 
arXiv:1004.4659v1 fatcat:r4yrtko45veorkks3sk7zask5e

Non-Markovian quantum input-output networks

Jing Zhang, Yu-xi Liu, Re-Bing Wu, Kurt Jacobs, Franco Nori
2013 Physical Review A. Atomic, Molecular, and Optical Physics  
Quantum input-output response analysis is a useful method for modeling the dynamics of complex quantum networks, such as those for communication or quantum control via cascade connections.  ...  Here we extend the Markovian input-output network formalism developed in optical systems to non-Markovian cascaded networks which can be used, e.g., to analyze the input-output response of mesoscopic quantum  ...  We showed that this system was non-Markovian because the cavities with which the qubits connect to each other act as filters for the quantum noise.  ... 
doi:10.1103/physreva.87.032117 fatcat:lhx6md5tmnf37gby5ugexwz7xy

Experimental beating the standard quantum limit under non-markovian dephasing environment [article]

Huan Cao, Chao Zhang, Yun-Feng Huang, Bi-Heng Liu, Chuan-Feng Li, Philip Walther, Guang-Can Guo
2022 arXiv   pre-print
Here, by using a highly controlled photonic system, we simulate a non-Markovian dephasing channel fulfill the quadratic decay behaviour.  ...  Since the quadratic decay behavior is quite general for short time expansion in open quantum systems (also known as the quantum Zeno effect), our results suggest a universal and scalable method to beat  ...  the non-Markovian one will show the advantages over Markovian one. is a notoriously difficult in quantum technology.  ... 
arXiv:2208.02543v1 fatcat:ge66cwaipvdqdi2pn6aupjmbom

Quantum Sensing of Noisy and Complex Systems under Dynamical Control

Gershon Kurizki, Gonzalo Alvarez, Analia Zwick
2016 Technologies  
This approach constitutes a new avenue in quantum sensing, dubbed quantum noise spectroscopy.  ...  We review our unified optimized approach to the dynamical control of quantum-probe interactions with noisy and complex systems viewed as thermal baths.  ...  a given transfer energy, plotted for (solid blue line) τ = 0 (Markovian) and (dashed red line) non-Markovian baths τ/T min = 10.  ... 
doi:10.3390/technologies5010001 fatcat:rln2os3dwrh6rcwhmdqgyo5vtq

All-optical implementation of collision-based evolutions of open quantum systems [article]

Álvaro Cuevas, Andrea Geraldi, Carlo Liorni, Luís Diego Bonavena, Antonella De Pasquale, Fabio Sciarrino, Vittorio Giovannetti, Paolo Mataloni
2019 arXiv   pre-print
We present a new optical scheme enabling the implementation of highly stable and configurable non-Markovian dynamics.  ...  Here one photon qubit can circulate in a multipass bulk geometry consisting of two concatenated Sagnac interferometers to simulate the so called collisional model, where the system interacts at discrete  ...  on a Photonic Chip).  ... 
arXiv:1809.01922v4 fatcat:cydqhfud3fcztbxanr3q6gl3u4

Experimental realization of high-fidelity teleportation via a non-Markovian open quantum system

Zhao-Di Liu, Yong-Nan Sun, Bi-Heng Liu, Chuan-Feng Li, Guang-Can Guo, Sina Hamedani Raja, Henri Lyyra, Jyrki Piilo
2020 Physical Review A  
quantum protocol via a non-Markovian open system.  ...  Experimental realization of high-fidelity teleportation via a non-Markovian open quantum system.  ...  So far, there exists a number of sophisticated experiments which, e.g., implement reservoir engineering, quantum simulate Markovian open system dynamical maps, and control Markovian-to-non-Markovian transition  ... 
doi:10.1103/physreva.102.062208 fatcat:mv37l6m4ajewvm3tqqhmjwss7e

Non-Markovianity-assisted high-fidelity Deutsch–Jozsa algorithm in diamond

Yang Dong, Yu Zheng, Shen Li, Cong-Cong Li, Xiang-Dong Chen, Guang-Can Guo, Fang-Wen Sun
2018 npj Quantum Information  
The memory effects can induce pronounced nonmonotonic variations in the RDJA results, which were confirmed to follow a non-Markovian quantum process by measuring the non-Markovianity of the spin system  ...  The memory effects in non-Markovian quantum dynamics can induce the revival of quantum coherence, which is believed to provide important physical resources for quantum information processing (QIP).  ...  It represents: initializing the system to ground state, preparing optimal state pairs to probe the non-Markovianity of the environment, and measuring the density matrix of quantum system by single qubit  ... 
doi:10.1038/s41534-017-0053-z fatcat:pxz5t2lc7baldiznd5vgsvi5cu

All-optical implementation of collision-based evolutions of open quantum systems

Álvaro Cuevas, Andrea Geraldi, Carlo Liorni, Luís Diego Bonavena, Antonella De Pasquale, Fabio Sciarrino, Vittorio Giovannetti, Paolo Mataloni
2019 Scientific Reports  
We present a new optical scheme enabling the implementation of highly stable and configurable non-Markovian dynamics.  ...  Here one photon qubit can circulate in a multipass bulk geometry consisting of two concatenated Sagnac interferometers to simulate the so called collisional model, where the system interacts at discrete  ...  on a Photonic Chip).  ... 
doi:10.1038/s41598-019-39832-9 pmid:30824831 pmcid:PMC6397296 fatcat:yitneuqmjjhv3ef7go3cxy3one

Control quantum evolution speed of a single dephasing qubit for arbitrary initial states via periodic dynamical decoupling pulses

Ya-Ju Song, Qing-Shou Tan, Le-Man Kuang
2017 Scientific Reports  
It is shown that final quantum coherence of the qubit and the non-Markovianity of the system can be modulated by PDD pulses.  ...  We investigate the possibility to control quantum evolution speed of a single dephasing qubit for arbitrary initial states by the use of periodic dynamical decoupling (PDD) pulses.  ...  Importantly, the final quantum coherence of the qubit and the non-Markovianity of the system can be modulated by the PDD.  ... 
doi:10.1038/srep43654 pmid:28272546 pmcid:PMC5341562 fatcat:adrkatm4prenbkzd74nn3bnibe
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