Reversible logic is characterized by its feature of being a prominent application in low-power conventional computers and the most compatible logic in quantum computers. Quantum circuits executes quantum algorithms and are important in a new generation of advanced computing. However, they are highly error-prone and also subject to the use of limited and sensitive physical resources like qubits and quantum gates. This paper introduces a comprehensive fault tolerant quantum-based reversible circuit which can calculate a high variety number of arithmetic and logic operations. It uses both: parity preserving method for detecting one or an odd number of bit errors, and Clifford + T implementation for protecting circuits against decoherence faults. First, we propose a new fault-tolerant (parity preserving and Clifford + T) adder/subtractor and derive a quantum reversible Arithmetic and Logic Unit (ALU). These modules reach the most optimized extent of circuit line, ancilla inputs, and garbage outputs according to the logical analysis done in this work. This article focuses on reducing T-cost metrics in conjunction with enhancing the number of operations and quantum costs in proposed circuits compared to other counterparts. We propose 4-bit fault tolerant ALU derived from our proposed single-bit module to show the proposed circuit can be extended to any larger size. The proposed circuit is implemented in the Qiskit simulation tool, and output results confirm the accuracy of our design functionality. The proposed full adder/ subtractor achieves an average of 64% and 43%, and the proposed ALU circuit achieves an average of 38% and 27% improvement in T-count and T-depth, respectively compared to their counterparts. The proposed reversible quantum-optimized fault tolerant adder/subtractor and ALU units can be applied as the basic part of DSP systems and quantum processor units in quantum computing devices.
Reversible logic is characterized by its feature of being a prominent application in low-power conventional computers and the most compatible logic in quantum computers. Quantum circuits executes quantum algorithms and are important in a new generation of advanced computing. However, they are highly error-prone and also subject to the use of limited and sensitive physical resources like qubits and quantum gates. This paper introduces a comprehensive fault tolerant quantum-based reversible circuit which can calculate a high variety number of arithmetic and logic operations. It uses both: parity preserving method for detecting one or an odd number of bit errors, and Clifford + T implementation for protecting circuits against decoherence faults. First, we propose a new fault-tolerant (parity preserving and Clifford + T) adder/subtractor and derive a quantum reversible Arithmetic and Logic Unit (ALU). These modules reach the most optimized extent of circuit line, ancilla inputs, and garbage outputs according to the logical analysis done in this work. This article focuses on reducing T-cost metrics in conjunction with enhancing the number of operations and quantum costs in proposed circuits compared to other counterparts. We propose 4-bit fault tolerant ALU derived from our proposed single-bit module to show the proposed circuit can be extended to any larger size. The proposed circuit is implemented in the Qiskit simulation tool, and output results confirm the accuracy of our design functionality. The proposed full adder/ subtractor achieves an average of 64% and 43%, and the proposed ALU circuit achieves an average of 38% and 27% improvement in T-count and T-depth, respectively compared to their counterparts. The proposed reversible quantum-optimized fault tolerant adder/subtractor and ALU units can be applied as the basic part of DSP systems and quantum processor units in quantum computing devices.
Quantum Arithmetic Logic Units (ALUs) serve as critical components in quantum processors, enabling both arithmetic and logical operations on qubits. However, the fragile nature of quantum systems makes them susceptible to errors and decoherence, necessitating fault-tolerant designs. In this work, we propose a fault-tolerant quantum ALU architecture constructed using the Clifford+ T gate set, which is widely recognized for its compatibility with error-correcting codes. The proposed design minimizes quantum resource overhead while maintaining computational accuracy under fault-prone conditions. Notably, the architecture requires zero ancilla and generates a single garbage output, optimizing the qubit space. Performance evaluations demonstrate significant improvements, achieving a 31.8% reduction in T-count and a 33.3% reduction in T-depth compared to existing designs. These enhancements contribute to more efficient and reliable quantum computation, paving the way for scalable quantum processor development.
Reversible logic is essential in quantum computing due to its ability to preserve information and establish a one-to-one mapping between inputs and outputs. The Clifford+T gate set, known for supporting fault-tolerant quantum circuits, offers resilience against decoherence but introduces high implementation costs, particularly due to the T gate's resource intensity. In this work, we propose a new and efficient quantum multiplexer design, the Quantum Clifford T-MUX, designed entirely within the Clifford+T framework. This multiplexer minimizes T-count and avoids the use of ancillary qubits, both critical factors for practical, fault-tolerant quantum computing. As part of this architecture, we present a newly designed fault-tolerant Peres gate using only Clifford+T gates, which serves as a fundamental building block in the T-MUX construction. The proposed T-MUX achieves reduced T-count, no garbage output, and improved efficiency compared to traditional designs. These improvements position it as a valuable component for building scalable quantum Arithmetic Logic Units (ALUs), data buses, and memory systems. Overall, this work contributes toward the development of low-overhead, modular quantum control structures suited for near-term and long-term quantum computing architectures. The proposed circuit is simulated using the Quirk online tool, and the result confirms the accuracy of the design. This design achieves an average 35% improvement in T-Count without any constant input, compared to its counterpart, respectively.
Reduction in dimensions of CMOS technology has resulted in great increase in computing speeds but, at the same time, higher power consumption. Thus, a serious limitation arises since conventional approaches will eventually hit the physical limit [1], [2]. Reversible computing seems promising in the context of VLSI. In theory, it could operate without any energy loss due to lossless information processing [3], [4]. The paper presents development and implementation of a reversible Arithmetic Logic Unit (ALU) based on quantum logic gates working with qubits. The architecture is based on Fredkin gates (quantum cost 5) and CNOT gates (quantum cost 1), both preserving parity and being inherently reversible. The ALU can execute all arithmetic and logical operations and reconfigure operations dynamically according to system requirements. Also, the designed ALU possesses an inherent parity-preserving fault detection mechanism for reliable identification of single-bit faults. Overall the implemented ALU contains 9 CNOT and 7 Fredkin gates resulting in quantum cost equal to 44 and 12 garbage outputs. Thus, the quantum cost and garbage outputs are significantly lower than usual ones for the design of a reversible ALU, which generally amount to 48–65 and 16–20 correspondingly. The designed architecture is described in details through the application of Verilog HDL and simulation in Xilinx Vivado toolset. The work concentrates on optimization of such important parameters as the number of gates, quantum cost, garbage outputs, and constant inputs. Those design parameters are critical in order to develop scalable and sustainable quantum and low-power VLSI architectures.
Abstract This paper presents a reversible, n‑bit Quantum Arithmetic Logic Unit (QALU) implemented in Qiskit that supports a classical ALU‑like instruction set: ADD, SUB, CMP, AND/OR/XOR and their negations, unary NOT, shifts and rotates, and operand passthrough. The QALU outputs a result register and status flags N, Z, C, V (negative, zero, carry/no‑borrow, signed overflow) and emits explicit comparison outputs EQ, LT u , LT s . The design is modular and operation‑selectable at compile time, enabling clean verification and resource accounting. To evaluate fault‑tolerant efficiency, the circuits are decomposed into a Clifford + T basis and measure T‑count alongside CX‑count and depth. Exhaustive verification on Aer (matrix‑product‑state simulation) confirms correctness for all input pairs for n = 4 across 16 operations. Hardware experiments on IBM Quantum (limited to n = 2) demonstrate end‑to‑end execution with dynamical decoupling and gate twirling, and readout mitigation via mthree. An analytical scaling discussion grounded in ripple‑carry adder theory and known Toffoli/T‑gate constructions is further provided. These results show that a practical, verifiable QALU with flags and compare can be implemented within Qiskit while exposing meaningful fault‑tolerant metrics and hardware‑realistic performance characterization. Key findings from the provided implementation artifacts: (1) Aer exhaustive verification (n = 4): the QALU was exhaustively tested over all 2 2n =256 input pairs for each of 16 operations (4096 total tests), with 0 mismatches against a classical reference model. (2) Resource metrics (n = 4): after transpilation to a Clifford + T‑style basis {cx, h, s, sdg, x, z, t, tdg} at optimization level 3, the highest‑cost operations (ADD, SUB, CMP) report T‑count = 86, CX‑count ≈ 102–106, and depth ≈ 138 on a 24‑qubit circuit instance (including flags and MCX ancillae). (3) IBM hardware test (n = 2): on an automatically selected IBM backend (ibm_torino) using dynamical decoupling and gate twirling plus mthree readout mitigation, an exhaustive run over all 256 circuits yielded raw correctness 91.41% and mitigated correctness 91.02% (slightly worse post‑mitigation, consistent with practical tradeoffs where mitigation noise/calibration drift can dominate at small sizes).
To meet expectations of the futuristic technologies, thrust is on fast communication, low power, high computational speeds with delay intolerance. VLSI technology is laboring to meet the demands by incorporating low-power solutions to improve performance. Component size has come to Nano scales however, it has challenges of managing heat dissipation and physical limitations in fabrication. Reversible logic technology has gained momentum in research due to its prominence in Quantum computing and zero power dissipation. The arithmetic and Logic Unit is the significant component of any computing architecture, carrying out operations rigorously while consuming power for the endurance of performance. The proposed approach of designing the fault-tolerant Arithmetic and Logical Unit (ALU) in reversible logic for future computers. Analysis of the proposed design to existing designs is on the quantum cost (QC), garbage output (GO), ancilla input (AI), gate utilization (GC) and number of operations achieved. Improvements observed is at an average of 70% in AI and GC, 59% in QC , 53% in GO and operations are up by 33% to cater to the least power consumption applications.
Reversible logic is becoming increasingly important with the rise of technologies like quantum computing, as it retains information during computation and maintains a direct match between each input and its corresponding output. Quantum circuits are inherently reversible and the best computational model in quantum computing systems. Quantum computers require quantum processors. A critical component of any computer's processor is the arithmetic component, that handles binary operations like addition, subtraction, multiplication, and division. Notably, multiplication can be accomplished by repeatedly adding, while division can be carried out by repeatedly subtracting. This paper proposes a new design of quantum-controlled adder/subtractor (QCAS) with efficient quantum criteria like delay, quantum cost, number of ancilla and of garbage outputs. We propose a quantum reversible controlled full adder/subtractor block which is applied to construct an n-bit quantum adder/subtractor circuit. The proposed circuit is simulated using the Quirk online tool and the result confirms the accuracy of the design. This design achieves 28.5% and 61.3% improvement in delay and garbage outputs, and 14% and 41.2% increase in quantum cost and constant input, compared to its counterpart, respectively.