Logic circuits based on a photonic integrated circuit (PIC) have attracted significant interest due to their ultra-high-speed operation. However, they have a fundamental disadvantage that a large amount of the optical signal power is discarded in the path from the optical source to the optical output, which results in significant power consumption. This optical signal power loss is called a garbage output. To address this issue, this paper considers a circuit design without garbage outputs. Although a method for synthesizing an optical logic circuit without garbage outputs is proposed, this synthesis method can not obtain the optimal solution, such as a circuit with the minimum number of gates. This paper proposes a cross-bar gate logic (CBGL) as a new logic structure for optical logic circuits without garbage outputs, moreover enumerates the CBGLs with the minimum number of gates for all three input logic functions by an exhaustive search. Since the search space is vast, our enumeration algorithm incorporates a technique to prune it efficiently. Experimental results for all three-input logic functions demonstrate that the maximum number of gates required to implement the target function is five. In the best case, the number of gates in enumerated CBGLs is one-half compared to the existing method for optical logic circuits without garbage outputs.

Optical circuits using nanophotonic devices attract significant interest due to its ultra-high speed operation. As a consequence, the synthesis methods for the optical circuits also attract increasing attention. However, existing methods for synthesizing optical circuits mostly rely on straight-forward mappings from established data structures such as Binary Decision Diagram (BDD). The strategy of simply mapping a BDD to an optical circuit sometimes results in an explosion of size and involves significant power losses in branches and optical devices. To address these issues, this paper proposes a method for reducing the size of BDD-based optical logic circuits exploiting wavelength division multiplexing (WDM). The paper also proposes a method for reducing the number of branches in a BDD-based circuit, which reduces the power dissipation in laser sources. Experimental results obtained using a partial product accumulation circuit used in a 4-bit parallel multiplier demonstrates significant advantages of our method over existing approaches in terms of area and power consumption.

Optical logic circuits based on integrated nanophotonics attract significant interest due to their ultra-high-speed operation. However, the power dissipation of conventional optical logic circuits is exponential to the number of inputs of target logic functions. This paper proposes a synthesis method reducing power dissipation to a polynomial order of the number of inputs while exploiting the high-speed nature. Our method divides the target logic function into multiple sub-functions with Optical-to-Electrical (OE) converters. Each sub-function has a smaller number of inputs than that of the original function, which enables to exponentially reduce the power dissipated by an optical logic circuit representing the sub-function. The proposed synthesis method can mitigate the OE converter delay overhead by parallelizing sub-functions. We apply the proposed synthesis method to the ISCAS'85 benchmark circuits. The power consumption of the conventional circuits based on the Binary Decision Diagram (BDD) is at least three orders of magnitude larger than that of the optical logic circuits synthesized by the proposed method. The proposed method reduces the power consumption to about 100mW. The delay of almost all the circuits synthesized by the proposed method is kept less than four times the delay of the conventional BDD-based circuit.