Optimal Control at the Quantum Speed Limit
Tommaso Caneva,Michael Murphy,Tommaso Calarco,Tommaso Calarco,Rosario Fazio,Simone Montangero,Simone Montangero,Vittorio Giovannetti,Giuseppe E. Santoro,Giuseppe E. Santoro,Giuseppe E. Santoro +10 more
TLDR
This work explores the ultimate limit in paradigmatic cases of optimal control theory, and demonstrates that it coincides with the maximum speed limit allowed by quantum evolution.Abstract:
Optimal control theory is a promising candidate for a drastic improvement of the performance of quantum information tasks. We explore its ultimate limit in paradigmatic cases, and demonstrate that it coincides with the maximum speed limit allowed by quantum evolution.read more
Citations
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Journal ArticleDOI
Training Schrödinger’s cat: quantum optimal control
Steffen J. Glaser,Ugo Boscain,Tommaso Calarco,Christiane P. Koch,Walter Köckenberger,Ronnie Kosloff,Ilya Kuprov,Burkhard Luy,Sophie Schirmer,Thomas Schulte-Herbrüggen,Dominique Sugny,Dominique Sugny,Frank K. Wilhelm +12 more
TL;DR: In this communication, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium of experts in optimal control theory and applications to spectroscopy, imaging, as well as quantum dynamics of closed and open systems.
Journal ArticleDOI
Optimal Hamiltonian Simulation by Quantum Signal Processing.
Guang Hao Low,Isaac L. Chuang +1 more
TL;DR: It is argued that physical intuition can lead to optimal simulation methods by showing that a focus on simple single-qubit rotations elegantly furnishes an optimal algorithm for Hamiltonian simulation, a universal problem that encapsulates all the power of quantum computation.
Journal ArticleDOI
High-fidelity quantum driving
Mark G. Bason,Matthieu Viteau,Nicola Malossi,Paul Huillery,Ennio Arimondo,Donatella Ciampini,Rosario Fazio,Vittorio Giovannetti,Riccardo Mannella,Oliver Morsch +9 more
TL;DR: In this paper, the authors compared Bose-Einstein condensates in optical traps with a Bose condensate-based protocol for high fidelity transformation of a quantum system with high fidelity.
Journal ArticleDOI
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Sebastian Deffner,Steve Campbell +1 more
TL;DR: In this paper, Paczynska et al. presented a visual representation of Einstein's gedanken experiment, Fig. 4, which was supported by the U.S National Science Foundation under Grant No. CHE-1648973.
Journal ArticleDOI
Training Schr\"odinger's cat: quantum optimal control
Stefffen J. Glaser,Ugo Boscain,Tommaso Calarco,Christiane P. Koch,Walter Köckenberger,Ronnie Kosloff,Ilya Kuprov,Burkard Luy,Sophie Schirmer,Thomas Schulte-Herbrüggen,Dominique Sugny,Frank K. Wilhelm +11 more
TL;DR: In this paper, state-of-the-art quantum control techniques are reviewed and put into perspective by a consortium uniting expertise in optimal control theory and applications to spectroscopy, imaging, quantum dynamics of closed and open systems.
References
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Book
Quantum Computation and Quantum Information
TL;DR: In this article, the quantum Fourier transform and its application in quantum information theory is discussed, and distance measures for quantum information are defined. And quantum error-correction and entropy and information are discussed.
Quantum Computation and Quantum Information
TL;DR: This chapter discusses quantum information theory, public-key cryptography and the RSA cryptosystem, and the proof of Lieb's theorem.
Book ChapterDOI
Global methods in optimal control theory
TL;DR: In this paper, a survey of theoretical and practical results connected with sufficient conditions for global optimality of controlled dynamic processes is presented, both discrete and continuous time systems and systems with distributed parameters are discussed.