Quantum networks serve as the means to transmit information, encoded in quantum bits or qubits, between quantum processors that are physically separated. Given the instability of qubits, the design of such networks is challenging, necessitating a careful balance between reliability and efficiency. Typically, quantum networks fall into two categories: those utilize quantum entanglements for quantum teleportation, and those directly transfer quantum message. In this paper, we present SurfaceNet, a quantum network in the second category that employs surface codes as logical qubits for preserving and transferring message. Our approach of using surface codes can fault-tolerantly correct both operational and photon loss errors within the network. We propose a novel one-way quantum communication procedure, designed to better integrate surface codes into our network architecture. We also propose an efficient routing protocol that optimizes resource utilization for our communication procedure. Simulation results demonstrate that SurfaceNet significantly enhances the overall communication fidelity.
Quantum networks serve as the means to transmit information, encoded in quantum bits or qubits, between quantum processors that are physically separated. Given the instability of qubits, the design of such networks is challenging, necessitating a careful balance between reliability and efficiency. Typically, quantum networks fall into two categories: those utilize quantum entanglements for quantum teleportation, and those directly transfer quantum message. In this paper, we present SurfaceNet, a quantum network in the second category that employs surface codes as logical qubits for preserving and transferring message. Our approach of using surface codes can fault-tolerantly correct both operational and photon loss errors within the network. We propose a novel one-way quantum communication procedure, designed to better integrate surface codes into our network architecture. We also propose an efficient routing protocol that optimizes resource utilization for our communication procedure. Simulation results demonstrate that SurfaceNet significantly enhances the overall communication fidelity.
Quantum networks encounter unavoidable channel noises and erasure errors, presenting a huge obstacle in designing protocols that attain both high reliability and efficiency. Typically, quantum networks fall into two categories: those utilize quantum entanglements for quantum teleportation, and those directly transfer the actual quantum messages. In this paper, we present SurfNet, a quantum network that inherits the main advantages from both categories. It employs surface codes as logical qubits for encoding messages, and utilizes two parallel communication channels to fault-tolerantly transfer each surface code in a modular manner. Our approach of using surface codes can timely correct both operational and photon loss errors within the network, and the integration of the two channels within the network can greatly improve network throughput. For the implementation of SurfNet, we propose a novel network architecture, designed to better integrate surface codes into quantum networks. We also propose a novel error correction decoder, designed to fully utilize the modular characteristic of surface codes within our network. Simulation results demonstrate that SurfNet with its decoder significantly enhances the communication fidelity within quantum networks.
Quantum computers are far more error-prone than their classical counterparts. Therefore, to build a quantum computer capable of running large-scale quantum algorithms, we must use the techniques of quantum error correction to ensure that the computer produces the correct output even when its components are unreliable. However, the resource requirements of building such a fault-tolerant quantum computer are currently prohibitive. Here, we examine the utility of using three-dimensional (3D) surface codes in a fault-tolerant quantum computer. This family of topological error-correcting codes is a generalization of the well-known 2D surface code to three spatial dimensions. We show that certain 3D surface codes have a transversal logical non-Clifford gate. In a quantum computing architecture, a non-Clifford gate is required to achieve computational universality. Transversal gates do not entangle qubits in different codes, so they are naturally fault tolerant because they do not spread errors. Next, we consider the problem of decoding 3D surface codes. In a quantum error-correcting code, we cannot observe the qubits directly, so we measure parity-check operators to gain information about the state of the code. Decoding is the problem of estimating what error has occurred given a list of unsatisfied parity checks. We observe that 3D surface codes offer asymmetric protection against bit-flip and phase-flip errors, but in both cases, we find that a threshold error rate exists below which we can suppress logical errors by increasing the size of the code. We use our results about logical gates and decoding to propose two fault-tolerant quantum computing architectures that utilize 3D surface codes. Finally, we compare the resource requirements of our architectures with the requirements of leading quantum computing architectures based on topological codes. We find that one of our architectures may be competitive with the leading architectures, depending on the properties of the physical systems used to build the qubits.
This work explores the integration of Quantum Error Correction (QEC) techniques within energy-efficient green communication networks, emphasizing their pivotal role in achieving sustainability in next-generation Information and Communication Technology (ICT) systems. Quantum technologies, particularly error correction protocols like surface codes are indispensable for reliable quantum information processing. However, their implementation often incurs substantial energy overhead due to the extensive physical qubit resources required. This research proposes a framework for adapting scalable QEC algorithms, leveraging innovations such as reconfigurable atom arrays, to optimize energy consumption while preserving high fidelity in quantum operations. Surface codes, a cornerstone of QEC, encode logical qubits in two-dimensional lattices of physical qubits, utilizing stabilizer measurements to detect and correct bit-flip and phase-flip errors. The performance of surface codes is influenced by critical parameters such as code distance, which determines fault tolerance, and gate fidelity, which impacts logical error rates. Through a comprehensive analysis of these parameters, this work evaluates the interplay between code distance, qubit array size, and gate fidelity to highlight their collective impact on fault tolerance and computational accuracy. These insights align with global efforts to reduce the environmental footprint of emerging quantum technologies, advancing the principles of green ICT and environmentally conscious innovation.
Quantum error correction (QEC) is crucial for realizing practical quantum computation. However, the fragility of quantum states to environmental noise poses a significant challenge. This work proposes a novel approach to QEC utilizing topological qubits encoded within photonic networks. Topological qubits, characterized by their robust topological properties, offer inherent protection against local perturbations, making them ideal candidates for QEC. This architecture combines the advantages of both topological protection and the scalability offered by photonic networks. We present a theoretical framework for implementing a specific QEC code based on these principles, detailing the encoding process, error detection, and correction operations. The proposed system demonstrates enhanced resilience to noise compared to traditional qubit implementations. Key performance metrics, such as the surface code's logical error rate, are analyzed, highlighting the potential of this approach for achieving fault-tolerant quantum computation. The core of this method lies in the design of a photonic network tailored to efficiently implement the topological code, addressing limitations encountered in conventional qubit systems. Further investigation explores the impact of network topology and photon loss on the overall performance, proposing strategies for mitigating these effects. This research contributes to the ongoing effort to overcome the challenges of QEC and paves the way for building practical, scalable quantum computers.
Quantum fault tolerance is a prerequisite to harness the full potential of quantum computers. However, achieving fault tolerance remains a major challenge since it requires optimizing tradeoffs between several intertwined theoretical and experimental parameters, including the encoding rate, code distance, parity-check weights, code planarity, and routing. Surface codes remain strong candidates for fault tolerance due to their simple geometric structure, established decoding methods, locality, and experimental attainability. In this work, we present finite families of hyperbolic surface codes that leverage the optimal efficiency scaling kd2/n=C(logk)2 attainable by surface codes with bounded local geometry. We show that optimizing the periodic identifications can double the code distance and thereby increase the code's efficiency by a factor of four, at fixed qubit count, encoding rate, and parity-check weight. We also address the routing problem of hyperbolic surface codes by introducing a topology-aware algorithm that partitions a hyperbolic code into bounded planar modules while reducing long-range communications demand. Circuit-level Monte Carlo simulations yield finite-size threshold estimates for both modular and monolithic layouts, showing that tripling the long-range gate error probability mildly lowers, but does not eliminate, the estimated error-correction thresholds. Together, these results strengthen the case for hyperbolic surface codes as structured and highly efficient large-scale quantum error correction codes for future fault-tolerant architectures.
Practical quantum computing requires error rates much lower than those achievable with physical qubits. Surface codes provide a reliable method to implement logical qubits using physical qubits. However, when these physical qubits are transmitted within quantum networks, their error rates can vary due to differences in the routing paths. Our experimental results indicate that the geometric arrangement of these physical qubits within a surface code significantly impacts its logical error rate. In this paper, we address this issue by proposing disparity surface codes, which are a group of geometric configurations for surface codes that adapt them for transmission within quantum networks. For a distance-ddisparity surface code, onlydphysical qubits need to be transmitted with low error rates, and we identify multiple equivalent choices for selecting thesedqubits. Additionally, we propose Di-MWPM, a new decoder designed to exploit physical error rate disparity for enhanced error correction. Results demonstrate that disparity surface codes maintain favorable performance in different network scenarios, even under high noise conditions. Our Di-MWPM decoder achieves improved Pauli-error thresholds.