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Computer Science > Computational Complexity

arXiv:1103.2809v1 (cs)
[Submitted on 14 Mar 2011]

Title:On Computational Power of Quantum Read-Once Branching Programs

Authors:Farid Ablayev, Alexander Vasiliev
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Abstract:In this paper we review our current results concerning the computational power of quantum read-once branching programs. First of all, based on the circuit presentation of quantum branching programs and our variant of quantum fingerprinting technique, we show that any Boolean function with linear polynomial presentation can be computed by a quantum read-once branching program using a relatively small (usually logarithmic in the size of input) number of qubits. Then we show that the described class of Boolean functions is closed under the polynomial projections.
Comments: In Proceedings HPC 2010, arXiv:1103.2268
Subjects: Computational Complexity (cs.CC)
Cite as: arXiv:1103.2809 [cs.CC]
  (or arXiv:1103.2809v1 [cs.CC] for this version)
  https://doi.org/10.48550/arXiv.1103.2809
Journal reference: EPTCS 52, 2011, pp. 1-12
Related DOI: https://doi.org/10.4204/EPTCS.52.1

Submission history

From: EPTCS [view email] [via EPTCS proxy]
[v1] Mon, 14 Mar 2011 23:15:20 UTC (22 KB)
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