## P.: ‘Data structures and algorithms for simplifying reversible circuits

Venue: | ACM Journal on Emerging Technologies in Computing Systems |

Citations: | 4 - 0 self |

### BibTeX

@ARTICLE{Prasad_p.:‘data,

author = {Aditya K. Prasad and Vivek V. Shende and Ketan N. Patel and Igor L. Markov and John P. Hayes},

title = {P.: ‘Data structures and algorithms for simplifying reversible circuits},

journal = {ACM Journal on Emerging Technologies in Computing Systems},

year = {}

}

### OpenURL

### Abstract

Reversible logic is motivated by low-power design, quantum circuits and nanotechnology. We develop a compact representation of small reversible circuits to generate and store optimal circuits for all 40,320 three-input reversible functions, and millions of four-input circuits. This allows implementing a function optimally in constant time for use in peephole optimization of larger circuits produced by existing techniques, and guarantees that every three-bit subcircuit is optimal. To generate subcircuits, we use a graph-based data structure and algorithms for circuit restructuring. Finally, we demonstrate a suboptimal circuit for which peephole optimization fails.

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Citation Context ...such problems arise include cryptography, digital signal processing, and communications [14, 20]. Irreversible circuits necessarily dissipate heat to compensate for the loss of information they incur =-=[3]-=-. Recent work from Intel [25] derives physical limits for irreversible computation by systems that use electrons and energy barriers to store and manipulate binary values. ∗ This work was supported by... |

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Citation Context ...eral minutes by dynamic programming [20]. This algorithm also synthesizes optimal fourbit circuits reasonably quickly, but does not scale much further. More scalable constructive synthesis algorithms =-=[18, 1, 12]-=- tend to produce suboptimal circuits even on three bits, which suggests iterative optimization based on local search. The work in [11] describes a small set of local transformation rules for NCT-circu... |

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Citation Context ...peephole optimization in compilers [17], where only a few lines of code are optimized at a time. While such methods are well-known for simplifying irreversible circuits (e.g., the LSS system from IBM =-=[7]-=-), our approach can restructure a reversible circuit on the fly in order to find larger reducible subcircuits. The remainder of the paper is structured as follows. The necessary background is given in... |

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Citation Context ...describes a small set of local transformation rules for NCT-circuits, but focuses on transforming circuits into a canonical form rather than on reducing circuit size. A circuit simplifier proposed in =-=[15, 16]-=- tries to match a small set of pre-computed reducible circuit templates to subcircuits. Even with such simplification techniques, the only work to report optimal circuits for all three-bit functions s... |

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Citation Context ...De Vos et al. have built several reversible circuits of up to 384 transistors, powered only by their input signals. Figure 1 shows one of their circuits as seen through a scanning electron microscope =-=[8]-=-. Another novel computing technology that circumvents physical limits cited in [25] — quantum circuits, — also requires complete reversibility. Quantum circuits and algorithms offer additional benefit... |

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Citation Context ...present in the input must be conserved by the computation and be recoverable from the output. Some fields where such problems arise include cryptography, digital signal processing, and communications =-=[14, 20]-=-. Irreversible circuits necessarily dissipate heat to compensate for the loss of information they incur [3]. Recent work from Intel [25] derives physical limits for irreversible computation by systems... |

2 |
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Citation Context ...cryptography, digital signal processing, and communications [14, 20]. Irreversible circuits necessarily dissipate heat to compensate for the loss of information they incur [3]. Recent work from Intel =-=[25]-=- derives physical limits for irreversible computation by systems that use electrons and energy barriers to store and manipulate binary values. ∗ This work was supported by the Undergraduate Summer Res... |