Principles and applications of control in quantum systems

Mabuchi, Hideo; Khaneja, Navin

doi:10.1002/rnc.1016

Cited by 154 publications

(123 citation statements)

References 128 publications

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“…The same techniques may be applied for the optimization of planar ion traps [21,22,23,24]. In the second section we optimize the transport of a single ion between two regions and illustrate the application of optimal control theory [25]. Even though shuttling is fast, we can show that an optimized non-adiabatic transport does not lead to significant heating.…”

Section: Introductionmentioning

confidence: 99%

Optimization of segmented linear Paul traps and transport of stored particles

Schulz

Poschinger

Singer³

et al. 2006

Fortschritte der Physik

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Single ions held in linear Paul traps are promising candidates for a future quantum computer. Here, we discuss a two-layer microstructured segmented linear ion trap. The radial and axial potentials are obtained from numeric field simulations and the geometry of the trap is optimized. As the trap electrodes are segmented in the axial direction, the trap allows the transport of ions between different spatial regions. Starting with realistic numerically obtained axial potentials, we optimize the transport of an ion such that the motional degrees of freedom are not excited, even though the transport speed far exceeds the adiabatic regime. In our optimization we achieve a transport within roughly two oscillation periods in the axial trap potential compared to typical adiabatic transports that take of the order 10 2 oscillations. Furthermore heating due to quantum mechanical effects is estimated and suppression strategies are proposed.

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Section: Introductionmentioning

confidence: 99%

Optimization of segmented linear Paul traps and transport of stored particles

Schulz

Poschinger

Singer³

et al. 2006

Fortschritte der Physik

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“…An idea of adaptation and learning for quantum control was introduced in the seminal work [140] that has more than 1200 citations in 2016. It was applied in a number of experiments [141] and the results were summarized in a number of special issues of the journals [142,143] and books [144][145][146].…”

Section: Quantum Controlmentioning

confidence: 99%

Horizons of cybernetical physics

Fradkov

2017

Phil. Trans. R. Soc. A.

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The subject and main areas of a new research field—cybernetical physics—are discussed. A brief history of cybernetical physics is outlined. The main areas of activity in cybernetical physics are briefly surveyed, such as control of oscillatory and chaotic behaviour, control of resonance and synchronization, control in thermodynamics, control of distributed systems and networks, quantum control. This article is part of the themed issue ‘Horizons of cybernetical physics’.

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“…For quantum systems this process can be implemented by making explicit measurements, and processing the resulting classical information using a classical system [54][55][56][57][58]. Alternatively a fully quantum version of this process can be realized by coupling the system to a second quantum system without making explicit measurements [9][10][11][12][13][14]35,62].…”

Section: Example: Non-markovian Coherent Feedback Networkmentioning

confidence: 99%

Non-Markovian quantum input-output networks

Zhang

Liu

et al. 2013

Phys. Rev. A

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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. Non-Markovian effects are expected to be important in networks realized using mesoscopic circuits, but such effects have not yet been studied. Here we extend the Markovian input-output network formalism to non-Markovian networks. The general formalism can be applied to various examples: (i) we show how non-Markovian coherent feedback can reduce the speed of decoherence for an atom in an optical cavity; (ii) we examine the effect of finite-cavity bandwidths in a superconducting circuit.

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Principles and applications of control in quantum systems

Cited by 154 publications

References 128 publications

Optimization of segmented linear Paul traps and transport of stored particles

Optimization of segmented linear Paul traps and transport of stored particles

Horizons of cybernetical physics

Non-Markovian quantum input-output networks

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