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Open Quantum Systems Decoherence
Quantum Simulation
Nondeterministic unitary OBDDs
arXiv
Authors: Aida Gainutdinova, Abuzer Yakaryılmaz
Year
2016
Paper ID
41692
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
We investigate the width complexity of nondeterministic unitary OBDDs (NUOBDDs). Firstly, we present a generic lower bound on their widths based on the size of strong 1-fooling sets. Then, we present classically cheap functions that are expensive for NUOBDDs and vice versa by improving the previous gap. We also present a function for which neither classical nor unitary nondeterminism does help. Moreover, based on our results, we present a width hierarchy for NUOBDDs. Lastly, we provide the bounds on the widths of NUOBDDs for the basic Boolean operations negation, union, and intersection.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2016 reference point for readers tracking recent quantum research.
- We investigate the width complexity of nondeterministic unitary OBDDs (NUOBDDs).
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