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Program Systems: Theory and Applications, 2016, Volume 7, Issue 1, Pages 3–13
(Mi ps199)
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Optimization Methods and Control Theory
Turnpike solutions in the problem of excitation transfer along a spin chain
V. I. Gurmana, I. V. Rasinab a ICS V. A. Trapeznikov of RAS
b Ailamazyan Program System Institute of RAS
Abstract:
It is considered the problem of excitation transfer along a spin chain related to the applied problem of quantum computations. The model of a quantum system of interacting spins based on the Shrödinger equation with unbounded linear control is transformed to an equivalent derived system (known from the degenerate problems theory), and then approximately to derived systems of higher stages with reducing order. Their investigation performed analytically or via simple computations leads at least to approximate solutions and lower estimates of the transfer time, which can be used in subsequent improving procedures.
Key words and phrases:
quantum system, spin chain, Shrödinger equation, optimal control, derived system, degenerate problem, impulse control, turnpike solution, global improvement method.
Received: 26.12.2015 Accepted: 21.01.2016
Citation:
V. I. Gurman, I. V. Rasina, “Turnpike solutions in the problem of excitation transfer along a spin chain”, Program Systems: Theory and Applications, 7:1 (2016), 3–13
Linking options:
https://www.mathnet.ru/eng/ps199 https://www.mathnet.ru/eng/ps/v7/i1/p3
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Statistics & downloads: |
Abstract page: | 172 | Full-text PDF : | 53 | References: | 31 |
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