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We demonstrate how structured decompositions of unitary operators can be employed to derive control schemes for finite-level quantum systems that require only sequences of simple control pulses such as square wave pulses with finite rise…

Quantum Physics · Physics 2009-11-07 S. G. Schirmer , A. D. Greentree , V. Ramakrishna , H. Rabitz

Composite pulses are a quantum control technique for canceling out systematic control errors. We present a new composite pulse sequence inspired by quantum search. Our technique can correct a wider variety of systematic errors -- including,…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt , Lov K. Grover

In this article, we develop a numerical method to find optimal control pulses that accounts for the separation of timescales between the variation of the input control fields and the applied Hamiltonian. In traditional numerical…

Quantum Physics · Physics 2011-09-19 F. Motzoi , J. M. Gambetta , S. T. Merkel , F. K. Wilhelm

Inhomogeneity, in its many forms, appears frequently in practical physical systems. Readily apparent in quantum systems, inhomogeneity is caused by hardware imperfections, measurement inaccuracies, and environmental variations, and…

Optimization and Control · Mathematics 2011-02-21 Justin Ruths , Jr-Shin Li

We investigate the feasibility for the preservation of coherence and entanglement of one and two spin qubits coupled to an interacting quantum spin-1/2 chain within the dynamical decoupling (DD) scheme. The performance is examined by…

Quantum Physics · Physics 2015-05-20 Jun-Ting Kao , Jo-Tzu Hung , Pochung Chen , Chung-Yu Mou

Uhrig's dynamical decoupling pulse sequence has emerged as one universal and highly promising approach to decoherence suppression. So far both the theoretical and experimental studies have examined single-qubit decoherence only. This work…

Quantum Physics · Physics 2015-05-14 Musawwadah Mukhtar , Thuan Beng Saw , Wee Tee Soh , Jiangbin Gong

Entangled atomic states, such as spin squeezed states, represent a promising resource for a new generation of quantum sensors and atomic clocks. We demonstrate that optimal control techniques can be used to substantially enhance the degree…

Quantum Physics · Physics 2016-02-03 T. Pichler , T. Caneva , S. Montangero , M. D. Lukin , T. Calarco

Applying optimal control algorithms on realistic quantum systems confronts two key challenges: to efficiently adopt physical constraints in the optimization and to minimize the variables for the convenience of experimental tune-ups. In…

Quantum Physics · Physics 2022-02-09 Yao Song , Junning Li , Yong-Ju Hai , Qihao Guo , Xiu-Hao Deng

We investigate the nature of the pulse sequence so that unwanted transitions in quantum systems can be inhibited optimally. For this purpose we show that the sequence of pulses proposed by Uhrig [Phys. Rev. Lett. \textbf{98}, 100504 (2007)]…

Quantum Physics · Physics 2015-05-20 C. A. Schroeder , G. S. Agarwal

A method for synthesizing dynamical decoupling (DD) sequences is presented, which can tailor these sequences to a given set of qubits, environments, instruments, and available resources using partial information of the system. The key…

Quantum Physics · Physics 2017-09-06 Yutaka Tabuchi , Masahiro Kitagawa

We investigate the performance of dynamical decoupling methods at suppressing electron spin decoherence from a low-temperature nuclear spin reservoir in a quantum dot. The controlled dynamics is studied through exact numerical simulation,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

Maintaining quantum coherence is a crucial requirement for quantum computation; hence protecting quantum systems against their irreversible corruption due to environmental noise is an important open problem. Dynamical decoupling (DD) is an…

Quantum Physics · Physics 2011-03-24 Ashok Ajoy , Gonzalo A. Alvarez , Dieter Suter

We introduce universally robust sequences for dynamical decoupling, which simultaneously compensate pulse imperfections and the detrimental effect of a dephasing environment to an arbitrary order, work with any pulse shape, and improve…

Quantum Physics · Physics 2017-03-30 Genko T. Genov , Daniel Schraft , Nikolay V. Vitanov , Thomas Halfmann

In order to achieve the high-fidelity quantum control needed for a broad range of quantum information technologies, reducing the effects of noise and system inhomogeneities is an essential task. It is well known that a system can be…

Mesoscale and Nanoscale Physics · Physics 2019-01-30 Junkai Zeng , Xiu-Hao Deng , Antonio Russo , Edwin Barnes

The lack of a direct map between control fields and desired control objectives poses a significant challenge in applying quantum control theory to quantum technologies. Here, we propose an analytical framework to precisely control a limited…

Quantum Physics · Physics 2025-03-05 Qian-Qian Hong , Daoyi Dong , Niels E. Henriksen , Franco Nori , Jun He , Chuan-Cun Shu

We show that the addition of correlated phases to the recently developed method of randomized dynamical decoupling pulse sequences [Physical Review Letters 122, 200403 (2019)] can improve its performance in quantum sensing. In particular,…

Quantum Physics · Physics 2020-05-07 Zhen-Yu Wang , Jorge Casanova , Martin B. Plenio

The loss of coherence is one of the main obstacles for the implementation of quantum information processing. The efficiency of dynamical decoupling schemes, which have been introduced to address this problem, is limited itself by the…

The dominant source of decoherence for an electron spin in a quantum dot is the hyperfine interaction with the surrounding bath of nuclear spins. The decoherence process may be slowed down by subjecting the electron spin to suitable…

Mesoscale and Nanoscale Physics · Physics 2017-08-23 Wenxian Zhang , V. V. Dobrovitski , Lea F. Santos , Lorenza Viola , B. N. Harmon

We address the experimentally relevant problem of robust mitigation of dephasing noise acting on a qubit. We first present an extension of a method for representing $1/\omega^{\alpha}$ noise developed by Kuopanportti et al. to the efficient…

Quantum Physics · Physics 2010-06-01 Kevin C. Young , Dylan J Gorman , K. Birgitta Whaley

High-fidelity control of quantum systems is crucial for quantum information processing, but is often limited by perturbations from the environment and imperfections in the applied control fields. Here, we investigate the combination of…

Quantum Physics · Physics 2021-01-12 Xiaodong Yang , Yunrui Ge , Bo Zhang , Jun Li