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Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe [article]

Christiane P. Koch, Ugo Boscain, Tommaso Calarco, Gunther Dirr, Stefan Filipp, Steffen J. Glaser, Ronnie Kosloff, Simone Montangero, Thomas Schulte-Herbrüggen, Dominique Sugny, Frank K. Wilhelm
2022 arXiv   pre-print
Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into  ...  The last few years have seen a rapid evolution and expansion of the field.  ...  SF, SJG and TSH would also like to acknowledge the Munich Quantum Valley (MQV) e.V., München, Germany.  ... 
arXiv:2205.12110v1 fatcat:ndmvafgyzzc7rlvy75hmsiviny

Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Christiane P. Koch, Ugo Boscain, Tommaso Calarco, Gunther Dirr, Stefan Filipp, Steffen J. Glaser, Ronnie Kosloff, Simone Montangero, Thomas Schulte-Herbrüggen, Dominique Sugny, Frank K. Wilhelm
2022 EPJ Quantum Technology  
AbstractQuantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved  ...  The last few years have seen a rapid evolution and expansion of the field.  ...  SF, SJG and TSH would also like to acknowledge the Munich Quantum Valley (MQV) e.V., München, Germany. Open Access funding enabled and organized by Projekt DEAL.  ... 
doi:10.1140/epjqt/s40507-022-00138-x fatcat:3zg7mxkfijbhzocchn3hdnaroi

Polynomial-Time Simulation of Pairing Models on a Quantum Computer

L.-A. Wu, M. S. Byrd, D. A. Lidar
2002 Physical Review Letters  
The algorithm adiabatically finds the low-lying spectrum in the vicinity of the gap between ground and first excited states, and provides a test of the applicability of the BCS Hamiltonian to mesoscopic  ...  We propose a polynomial-time algorithm for simulation of the class of pairing Hamiltonians, e.g., the BCS Hamiltonian, on an NMR quantum computer.  ...  NMR-QC experiments performing quantum physics simulations were reported in [8] . Current QC technology is limited to fewer than 10 qubits and the testing of simple algorithms [9] .  ... 
doi:10.1103/physrevlett.89.057904 pmid:12144467 fatcat:fmntkzgwgjanznfdl3ndwao6qe

Quantum programming: From theories to implementations

MingSheng Ying, Yuan Feng, RunYao Duan, YangJia Li, NengKun Yu
2012 Chinese Science Bulletin  
This paper surveys the new field of programming methodology and techniques for future quantum computers, including design of sequential and concurrent quantum programming languages, their semantics and  ...  The potential applications of programming techniques and related formal methods in quantum engineering are pointed out. quantum computation, programming languages, semantics, verification, engineered quantum  ...  A zeroone law for termination probability of the states in the reachable space is proved, and an algorithm is found for checking termination of nondeterministic quantum programs within a fixed finite-dimensional  ... 
doi:10.1007/s11434-012-5147-6 fatcat:zd2p2usng5hu7nztpo3wzgefqa

Toward simulating Superstring/M-theory on a quantum computer [article]

Hrant Gharibyan, Masanori Hanada, Masazumi Honda, Junyu Liu
2020 arXiv   pre-print
We use the Wan-Kim algorithm for fast digital adiabatic state preparation to prepare the low-energy eigenstates of this model as well as thermofield double state.  ...  Lastly, we present a set of measurements and experiments that can be carried out on a quantum computer to further our understanding of superstring/M-theory beyond analytic results.  ...  For example, the quantum teleportation experiment can be used to test the existence of a wormhole [44] .  ... 
arXiv:2011.06573v1 fatcat:n3hx7gohvjbddmy6w7lq2wneim

Quantum computation, quantum theory and AI

Mingsheng Ying
2010 Artificial Intelligence  
For the readers who are not familiar with quantum computation, a brief introduction to it is provided, and a famous but simple quantum algorithm is introduced so that they can appreciate the power of quantum  ...  Also, a (quite personal) survey of quantum computation is presented in order to give the readers a (unbalanced) panorama of the field.  ...  The author would like to express his sincere thanks to Professor Chengqi Zhang, Director of the Center of Quantum Computation and Intelligent Systems, University of Technology, Sydney, for providing the  ... 
doi:10.1016/j.artint.2009.11.009 fatcat:gthhfdrthnervcs2xg2jvzsqg4

Feedback control of quantum state reduction

R. van Handel, J.K. Stockton, H. Mabuchi
2005 IEEE Transactions on Automatic Control  
We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement  ...  We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter.  ...  As in the finite-dimensional case there is a correspondence between classical probability spaces and commutative algebras.  ... 
doi:10.1109/tac.2005.849193 fatcat:fdtdykyatfeg5gxc7ttu7jfooq

Quantum Hypercomputation—Hype or Computation?*

Amit Hagar, Alex Korolev
2007 Philosophy of Science  
A recent attempt to compute a (recursion-theoretic) non-computable function using the quantum adiabatic algorithm is criticized and found wanting.  ...  A speculation is then offered as to where the putative power of quantum computers may come from.  ...  We also thank Andrew Hodges for an extensive discussion.Earlier versions of this paper were presented in the ESF Workshop on Quantum Information (  ... 
doi:10.1086/521969 fatcat:4wfem3ue2rcwvmwycmtdg5f2jm

Quantum Kibble-Zurek physics in long-range transverse-field Ising models

Ricardo Puebla, Oliver Marty, Martin B. Plenio
2019 Physical Review A  
We analyze the quantum phase transitions taking place in a one-dimensional transverse field Ising model with long-range couplings that decay algebraically with distance.  ...  Finally, a scheme is introduced to simulate the algebraically decaying couplings accurately by means of a digital quantum simulation with trapped ions.  ...  This, together with the above findings suggest that the scaling laws predicted by the QKZM can be tested in state-ofthe-art experiments. C.  ... 
doi:10.1103/physreva.100.032115 fatcat:c2q6iqp3xnginc6m2zsq4fxssq

Tensor RG calculations and quantum simulations near criticality [article]

Y. Meurice, A. Bazavov, Shan-Wen Tsai, J. Unmuth-Yockey, Li-Ping Yang, Jin Zhang
2016 arXiv   pre-print
We discuss the reformulation of the O(2) model with a chemical potential and the Abelian Higgs model on a 1+1 dimensional space-time lattice using the Tensor Renormalization Group (TRG) method.  ...  We calculate the Polyakov loop in the Abelian Higgs model and discuss the possibility of a deconfinement transition at finite volume.  ...  For quantum simulation purposes, these commutation relations can be approximated for finite integer spin [10] .  ... 
arXiv:1611.08711v1 fatcat:tteepilt6nhbbciq4633x2rw3u

Efficient geometric integrators for nonadiabatic quantum dynamics. I. The adiabatic representation [article]

Seonghoon Choi, Jiří Vaníček
2019 arXiv   pre-print
Vaníček (2019)], we discuss analogous, arbitrary-order compositions of the split-operator algorithm and apply both types of geometric integrators to a higher-dimensional system in the diabatic representation  ...  The order of convergence and conservation of geometric properties are proven analytically and demonstrated numerically on a two-surface NaI model in the adiabatic representation.  ...  Proposition 3 of Appendix A shows that a composition of any operators commuting with the Hamiltonian commutes with the Hamiltonian.  ... 
arXiv:1902.04661v2 fatcat:wqm7vmmyy5ek3mahp3dzusedzq

Bulk-Boundary Correspondence for Topological Insulators with Quantized Magneto-Electric Effect [article]

Bryan Leung, Emil Prodan
2020 arXiv   pre-print
We study bulk-boundary correspondences and related surface phenomena stabilized by the second Chern number in three-dimensional insulators driven in adiabatic cycles.  ...  We use the connecting maps between the K-theories of bulk and boundary algebras as engines for the bulk-boundary correspondences.  ...  Having the quantum states of the second system fully depopulated is impossible for condensed matter systems, but this proposal can be tested with photonic and mechanical topological insulators [1] . partial  ... 
arXiv:1806.06677v3 fatcat:ydosrcv5fngixfcx5szzh6r2r4

Topologization of electron liquids with Chern-Simons theory and quantum computation [article]

Zhenghan Wang
2006 arXiv   pre-print
We discuss a nexus among quantum topology, quantum physics and quantum computing.  ...  He was puzzled by a paragraph in Maxwell's book and performed an experiment to test the statement. He disproved the statement by discovering the so-called Hall effect.  ...  For a finite size sample of a 2-dimensional electron system in a magnetic field, the number of electrons in the sample divided by the number of flux quanta in the perpendicular magnetic field is called  ... 
arXiv:cond-mat/0601285v1 fatcat:czvg4rixtzczxke5tjnjj2seyi

Finite Deformations of Quantum Mechanics [article]

T. Banks
2020 arXiv   pre-print
We investigate modifications of quantum mechanics (QM) that replace the unitary group in a finite dimensional Hilbert space with a finite group and determine the minimal sequence of subgroups necessary  ...  conserved quantum operator in that classical evolution can probably be a model of the world we observe.  ...  't Hooft for commenting on an early version of the manuscript and pointing out some errors. The work was supported in part by the Department of Energy, under grant DE-SC0010008.  ... 
arXiv:2001.07662v2 fatcat:qnoweiit2ffrvnnnarekhq7fna

Quantum Control of d-Dimensional Quantum Systems with Application to Alkali Atomic Spins [article]

Seth Merkel
2009 arXiv   pre-print
Alkali atoms provide an ideal platform for studies of quantum control due to the extreme precision with which the control fields are characterized as well as their isolation from their environment.  ...  In this dissertation I analyze Hamiltonian control of d-dimensional quantum systems as realized in alkali atomic spins.  ...  Throughout my tenure in his group he has provided not only knowledge and direction about physics, but also knowledge and direction on how to be a physicist.  ... 
arXiv:0906.4790v1 fatcat:5mniozqbhfebvjz2licg2hsoam
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