Fundamental energy cost of finite-time parallelizable computing

Area of Science:

• Thermodynamics
• Computer Science
• Information Theory

Background:

• The Landauer bound sets the theoretical minimum energy cost for irreversible computation at kT ln 2 per bit.
• This fundamental limit is only achievable in idealized infinite-time processes.
• Real-world computing, especially finite-time operations, faces higher energy costs.

Purpose of the Study:

• To determine the fundamental energy cost of finite-time parallelizable computing.
• To quantify the energetic advantage of parallel computing over serial computing.
• To provide a physical basis for designing energy-efficient computers.

Main Methods:

• Utilizing the framework of nonequilibrium thermodynamics.
• Analyzing finite-time parallelizable computing processes.
• Quantifying energy costs based on degrees of parallelization and overhead.

Main Results:

• Parallel computers can maintain energy costs close to the Landauer limit, even for large problem sizes.
• The energy cost per operation for serial computers fundamentally diverges.
• Analysis includes effects of parallelization, overhead, and non-ideal hardware.

Conclusions:

• Finite-time parallel computing offers significant energetic advantages over serial computing.
• Understanding these thermodynamic limits is crucial for developing energy-efficient computing technologies.
• The findings support the physical design principles for future energy-efficient computers.