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### Benjamin Russell, Susan Stepney.

Numerical Analysis of Quantum Speed Limits:
controlled quantum spin chain systems with
constrained control functions.

#### In *Unconventional Computation and Natural
Computation 2013, Milan, Italy, July 2013*. LNCS 7956:209-219.
Springer, 2013

#### Abstract:

We are interested in fundamental limits to computation imposed by physical constraints. In particular, the physical laws of motion
constrain the speed at which a computer can transition between well-defined states. Certain time bounds are known, but these are not tight
bounds. For computation, we also need to consider bounds in the presence of control functions. Here, we use a numerical search approach to
discover specific optimal control schemes. We present results for two coupled spins controlled in two scenarios: (i) a single control field
influencing each spin separately; (ii) two orthogonal control fields influencing each spin.

full paper: PDF 346K

@inproceedings(SS-UCNC13-num,
author = "Benjamin Russell and Susan Stepney",
title = "Numerical Analysis of Quantum Speed Limits:
controlled quantum spin chain systems with constrained control functions",
pages = "209-219",
crossref = "UCNC13"
)
@proceedings(UCNC13,
title = "Unconventional Computation and Natural Computation 2013, Milan, Italy, July 2013",
booktitle = "Unconventional Computation and Natural Computation 2013, Milan, Italy, July 2013",
series = "LNCS",
volume = 7956,
publisher = "Springer",
year = 2013
)