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Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
[article]
2022
arXiv
pre-print
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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
2022
EPJ Quantum Technology
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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
2002
Physical Review Letters
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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
2012
Chinese Science Bulletin
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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]
2020
arXiv
pre-print
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2021 accepted arXiv:2011.06573v2 fatcat:l5sjatadbbc2rfvd7lkg7o67cm
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
2010
Artificial Intelligence
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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
2005
IEEE Transactions on Automatic Control
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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?*
2007
Philosophy of Science
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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
2019
Physical Review A
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2019 pre-print arXiv:1906.04872v1 fatcat:dyugkvswdjh33boekkmdj5x3fqOther Versions
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]
2016
arXiv
pre-print
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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]
2019
arXiv
pre-print
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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]
2020
arXiv
pre-print
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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]
2006
arXiv
pre-print
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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]
2020
arXiv
pre-print
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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]
2009
arXiv
pre-print
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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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