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Photonics North (PN)

Comparative Study of Optical Quantum Swap Gates Using qINTERCONNECT

T. J Mikhail, Mohamed A. Swillam

Published May 28, 2024• 0 citations
Publisher

Abstract

In this study, we delve into optimizing optical quantum swap gate designs, which are crucial in the advancement of quantum computing. Using qINTERCONNECT, we conduct a comparative analysis of swap gate designs, including those based on equivalent circuits like CNOT gates and others utilizing dedicated architectures. Our aim is to compare the balance between operational efficiency and error tolerance in these varying designs, so as to measure their potential for scalability. Through simulations grounded in real-world fabrication parameters, we assess the fidelity and success probabilities of each design approach. Our findings indicate that while equivalent circuit-based designs are traditionally favored in other fields of quantum computing, dedicated swap gate architectures may offer enhanced robustness and scalability in optics. This study provides a comparative understanding of different swap gate designs, elucidating the relative merits and drawbacks of current designs, and offering insights that are relevant for practical applications in quantum computing.

DOI
10.1109/pn62551.2024.10621799

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In this study, we delve into optimizing optical quantum swap gate designs, which are crucial in the advancement of quantum computing. Using qINTERCONNECT, we conduct a comparative analysis of swap gate designs, including those based on equivalent circuits like CNOT gates and others utilizing dedicated architectures. Our aim is to compare the balance between operational efficiency and error tolerance in these varying designs, so as to measure their potential for scalability. Through simulations grounded in real-world fabrication parameters, we assess the fidelity and success probabilities of each design approach. Our findings indicate that while equivalent circuit-based designs are traditionally favored in other fields of quantum computing, dedicated swap gate architectures may offer enhanced robustness and scalability in optics. This study provides a comparative understanding of different swap gate designs, elucidating the relative merits and drawbacks of current designs, and offering insights that are relevant for practical applications in quantum computing.
In this study, we use qINTERCONNECT to perform a comparative analysis of published Photonic quantum gate designs, including CNOT, Hadamard, SWAP. We introduce real-world fabrication errors via Monte Carlo simulations of key design parameters, and by analyzing the resulting means and standard deviations, we assess the relative robustness and scalability of each design under realistic conditions by comparing each design’s fidelity and probability of success. This comparison highlights key challenges facing practical implementations of quantum gates and informs design strategies for future scalable quantum computing.
In this paper, we exclusively utilize CNOT gates for implementing permutation groups generated by more than two elements. In Lemma 1, we recall that three CNOT gates are both necessary and sufficient to execute a two-qubit swap gate operation. Subsequently, in Lemma 2, we show that the maximum number of CNOT gates needed to carry out an n-qubit substitution operation is 3(n-1). Moving forward, our analysis in Section 3 reveals that utilizing five or fewer CNOT gates is insufficient for implementing a three-qubit swap gate corresponding to the permutation element (123). Hence six CNOT gates are both necessary and sufficient for implementing (123). This is done by employing a graph-theoretic approach to rigorously validate the results in terms of at most five CNOT gates. Using computational tools, we exhaustively explore all valid circuit diagrams containing exactly six CNOT gates to successfully execute the swap gate for (123), by explaining the equivalence classes in Remark 6 and Table 2. We conclude them in Theorem 7.To extend our analysis to the multiqubit scenario, we present the reducible and irreducible permutation elements in Definition 8. We clarify the equivalence between rows in the multi-qubit space and provide an approximate upper bound for multi-qubits to perform the aforementioned operations in Theorem 9. The comprehensive exploration of this paper aims to pave the way for further advancements in understanding quantum circuit optimization via multiple use of a specific two-qubit gate.
The need to consider fault-tolerant quantum circuits is essential due to the intrinsic fragility of quantum systems. Recent studies have focused on optimizing complexity, resource utilization, and error resilience to enhance execution efficiency on quantum hardware. This paper performs a comparative analysis of fault-tolerant implementation approaches for quantum circuit design, emphasizing resource optimization, scalability, and error resilience. This paper illustrates recent designs that include enhanced Toffoli gate decompositions with reduced T-depths and resource-effective designs, demonstrating the tradeoffs among T-depth, T-gate count, and ancilla usage. These insights facilitate developing effective, scalable, and reliable quantum computing solutions, which are essential for both near-term quantum computation and future advancements.
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Quantum logic gates are fundamental building blocks of quantum computing, enabling the manipulation of quantum bits (qubits) for computations and communications. This paper presents a novel approach to implementing the SWAP gate, a crucial two-qubit quantum operation, using Python programming. The SWAP gate facilitates the exchange of quantum states between two qubits and plays a significant role in qubit routing and circuit optimization. The implementation leverages Python's quantum computing libraries, such as Qiskit, to simulate and validate the functionality of the SWAP gate. Numerical simulations demonstrate the successful operation of the gate and its integration into larger quantum circuits. The paper provides a comprehensive guide for Python-based SWAP gate development, contributing to the advancement of quantum algorithm design and for different applications in quantum computing.
Abstract The SWAP gate (SWAP operator) is a two-qubit quantum gate that exchanges the states of the two qubits. It is widely used to move quantum information between qubits within a circuit, enabling flexible rearrangement of quantum states. SWAP gates are essential for circuit optimization, especially in architectures where qubit connectivity is limited. By efficiently redistributing qubit states, they allow complex operations to be performed even when the physical layout restricts direct interactions between certain qubits. This gate is a fundamental building block for implementing modular and scalable quantum circuits. Understanding the SWAP gate is crucial for designing efficient quantum algorithms and managing qubit resources in practical quantum computations. Its use is particularly significant in near-term noisy intermediate-scale quantum (NISQ) devices, where minimizing gate count and optimizing qubit layout are critical for performance.