Decoherence in a quantum walk on the line
Viv Kendon, Ben Tregenna
TL;DR
This paper investigates how decoherence impacts a quantum walk on the line, revealing that increased decoherence reduces the walk's quantum properties at a rate proportional to the number of decoherence events.
Contribution
It provides an analytical expression for the rate at which quantum behavior diminishes due to decoherence in a quantum walk.
Findings
Decoherence causes the standard deviation to decrease from quantum values.
The rate of decline is proportional to the number of decoherence events.
Quantum walk sensitivity to decoherence is quantitatively characterized.
Abstract
We have studied how decoherence affects a quantum walk on the line. As expected, it is highly sensitive, consisting as it does of an extremely delocalized particle. We obtain an expression for the rate at which the standard deviation falls from the quantum value as decoherence increases and show that it is proportional to the number of decoherence "events" occuring during the walk.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata