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Ablayev, Farid

Classical Simulation Complexity of Quantum Branching Programs

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We present classical simulation techniques for measure once quantum
branching programs.

For bounded error syntactic quantum branching program of width $w$
that computes a function with error $delta$ we present a classical
deterministic branching program of the same length and width at most
$(1+2/(1-2delta))^{2w}$ that computes the same function.

Second technique is a classical stochastic simulation technique for
bounded error and unbounded error quantum branching programs. Our
result is that it is possible stochastically-classically simulate
quantum branching programs with the same length and almost the same
width, but we lost bounded error acceptance property.

BibTeX - Entry

  author =	{Farid Ablayev},
  title =	{Classical Simulation Complexity of  Quantum  Branching Programs},
  booktitle =	{Algebraic Methods in Computational Complexity},
  year =	{2008},
  editor =	{Manindra Agrawal and Harry Buhrman and Lance Fortnow and Thomas Thierauf},
  number =	{07411},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Quantum  algorithms, Branching Programs, Complexity}

Keywords: Quantum algorithms, Branching Programs, Complexity
Collection: 07411 - Algebraic Methods in Computational Complexity
Issue Date: 2008
Date of publication: 23.01.2008

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