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Electronic Colloquium on Computational Complexity

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Reports tagged with Reversible Computation:
TR96-039 | 27th June 1996
Carme Alvarez, Raymond Greenlaw

A Compendium of Problems Complete for Symmetric Logarithmic Space

Comments: 2

We provide a compendium of problems that are complete for
symmetric logarithmic space (SL). Complete problems are one method
of studying this class for which programming is nonintuitive. A
number of the problems in the list were not previously known to be
complete. A ... more >>>

TR99-032 | 7th July 1999
Cristopher Moore

Quantum Circuits: Fanout, Parity, and Counting

We propose definitions of $\QAC^0$, the quantum analog of the
classical class $\AC^0$ of constant-depth circuits with AND and OR
gates of arbitrary fan-in, and $\QACC^0[q]$, the analog of the class
$\ACC^0[q]$ where $\Mod_q$ gates are also allowed. We show that it is
possible to make a `cat' state on ... more >>>

TR05-128 | 27th October 2005
Miroslava Sotáková

The normal form of reversible circuits consisting of CNOT and NOT gates

This paper deals with the reversible circuits with n input and
output nodes, consisting of the reversible gates FAN-IN=FAN-OUT<3.
We define a normal form of such type of circuits and describe a reduction
algorithm to transform a circuit in this form. Furthermore we use it for
checking whether two circuits ... more >>>

TR10-070 | 17th April 2010
Eric Allender, Klaus-Joern Lange

Symmetry Coincides with Nondeterminism for Time-Bounded Auxiliary Pushdown Automata

We show that every language accepted by a nondeterministic auxiliary pushdown automaton in polynomial time (that is, every language in SAC$^1$ = LogCFL) can be accepted by a symmetric auxiliary pushdown automaton in polynomial time.

more >>>

TR14-084 | 12th June 2014
Luke Schaeffer

A Physically Universal Cellular Automaton

Several cellular automata (CA) are known to be universal in the sense that one can simulate arbitrary computations (e.g., circuits or Turing machines) by carefully encoding the computational device and its input into the cells of the CA. In this paper, we consider a different kind of universality proposed by ... more >>>

TR20-087 | 8th June 2020
Uma Girish, Ran Raz, Wei Zhan

Quantum Logspace Algorithm for Powering Matrices with Bounded Norm

Revisions: 1

We give a quantum logspace algorithm for powering contraction matrices, that is, matrices with spectral norm at most 1. The algorithm gets as an input an arbitrary $n\times n$ contraction matrix $A$, and a parameter $T \leq poly(n)$ and outputs the entries of $A^T$, up to (arbitrary) polynomially small additive ... more >>>

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