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A digital combinational logic circuit is reversible if it maps each input pattern to a unique output pattern. Such circuits are of interest in quantum computing, optical computing, nanotechnology andâ€¦ (More)

- Matthew Amy, Dmitri Maslov, Michele Mosca, Martin Roetteler
- IEEE Transactions on Computer-Aided Design ofâ€¦
- 2013

We present an algorithm for computing depth-optimal decompositions of logical operations, leveraging a meet-in-the-middle technique to provide a significant speedup over simple brute forceâ€¦ (More)

- Dmitri Maslov, Gerhard W. Dueck, D. Michael Miller, Camille Negrevergne
- IEEE Transactions on Computer-Aided Design ofâ€¦
- 2008

Quantum circuits are time-dependent diagrams describing the process of quantum computation. Usually, a quantum algorithm must be mapped into a quantum circuit. Optimal synthesis of quantum circuitsâ€¦ (More)

- Dmitri Maslov, Gerhard W. Dueck, D. Michael Miller
- ACM Trans. Design Autom. Electr. Syst.
- 2007

We present certain new techniques for the synthesis of reversible networks of Toffoli gates, as well as improvements to previous methods. Gate count and technology oriented cost metrics are used. Twoâ€¦ (More)

- Dmitri Maslov, Gerhard W. Dueck, D. Michael Miller
- IEEE Transactions on Computer-Aided Design ofâ€¦
- 2005

Reversible logic functions can be realized as networks of Toffoli gates. The synthesis of Toffoli networks can be divided into two steps. First, find a network that realizes the desired function.â€¦ (More)

- Dmitri Maslov, Gerhard W. Dueck
- IEEE Transactions on Computer-Aided Design ofâ€¦
- 2004

The problem of minimizing the number of garbage outputs is an important issue in reversible logic design. We start with the analysis of the number of garbage outputs that must be added to a multipleâ€¦ (More)

- Dmitri Maslov, Christina Young, D. Michael Miller, Gerhard W. Dueck
- Design, Automation and Test in Europe
- 2005

Optimal synthesis of quantum circuits is intractable and heuristic methods must be employed. Templates are a general approach to reversible and quantum circuit simplification. In this paper, weâ€¦ (More)

- Vadym Kliuchnikov, Dmitri Maslov, Michele Mosca
- Quantum Information & Computation
- 2013

In this paper, we show the equivalence of the set of unitaries computable by the circuits over the Clifford and T library and the set of unitaries over the ring Z[ 1 âˆš 2 , i], in the singlequbitâ€¦ (More)

- D. Michael Miller, Dmitri Maslov, Gerhard W. Dueck
- Multiple-Valued Logic and Soft Computing
- 2006

An r-valued m-variable reversible logic function maps each of the rm input patters to a unique output pattern. The synthesis problem is to realize a reversible function by a cascade of primitiveâ€¦ (More)

- Dmitri Maslov, Gerhard W. Dueck, D. Michael Miller
- SBCCI
- 2003

Reversible logic functions can be realized as networks of Toffoli gates. The synthesis of Toffoli networks can be divided into two steps. First, find a network that realizes the desired function.â€¦ (More)