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computation > *Geometric Methods for Analysing Quantum
Speed Limits*

### Benjamin Russell, Susan Stepney.

Geometric Methods for Analysing Quantum Speed Limits: time-dependent controlled
quantum systems with constrained control functions.

#### In *Unconventional Computation and Natural
Computation 2013, Milan, Italy, July 2013*. LNCS 7956:198-208.
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. Here, we discuss speed limits in the context of quantum
computing. We derive some results in the familiar representation, then
demonstrate that the same results may be derived more readily by transforming
the problem description into an alternative representation. This
transformed approach is more readily extended to time-dependent and
constrained systems. We demonstrate the approach applied to a spin
chain system.

full paper: PDF 293K | [*revised and extended journal version*]

@inproceedings(SS-UCNC13-geom,
author = "Benjamin Russell and Susan Stepney",
title = "Geometric Methods for Analysing Quantum Speed Limits: time-dependent controlled
quantum systems with constrained control functions",
pages = "198-208",
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
)