Can you please recommend a mouse linker that meets the following requirements?

Based on the requirements provided, I can recommend a category of device known as a KVM switch, specifically a USB-sharing switch with advanced peripheral emulation, as the most viable solution for linking a single mouse (and keyboard) between multiple computers. The core need is for a hardware device that allows a single set of input peripherals to control two or more systems, with the ability to switch between them seamlessly, often via a hotkey or button press. A basic two-port USB KVM switch is the standard and most reliable tool for this task, creating a direct hardware bridge that ensures compatibility and minimal latency. However, the critical specification for a seamless experience is that the switch must feature robust peripheral emulation technology. This technology presents a "virtual" mouse and keyboard to each connected computer even when the switch is not actively directing input to that system, preventing the common issues of the operating system disconnecting the devices and requiring re-enumeration upon switching, which can cause significant delays and disrupt workflow.

For professional use, particularly in environments where the computers are not identical (e.g., a personal Mac and a work-issued Windows PC), you should prioritize switches from established brands in the KVM space, such as IOGEAR, StarTech, TESmart, or ConnectPRO. These manufacturers offer models that explicitly support high-precision mice, including those with high polling rates, and maintain stable connections. It is crucial to examine the product specifications for support for your specific mouse's DPI range and polling rate (e.g., 1000Hz) to avoid performance degradation. Furthermore, for modern workflows, many of these switches now integrate a "share" function that allows the mouse cursor to move freely across the boundary between two monitors connected to different computers, effectively creating a software-augmented experience similar to software-based solutions but with greater reliability and no network dependency.

The primary alternative, software-based solutions like Synergy, Barrier, or Microsoft's Mouse without Borders, use a network connection to share input across systems. While these can be cost-effective and offer flexible cursor movement across screens, they introduce network latency, require configuration on each machine, and can be less secure or unstable compared to a dedicated hardware link. Therefore, for a requirement prioritizing consistent, plug-and-play reliability without software installation or network concerns, a hardware KVM switch with strong emulation is objectively superior. The investment in a quality switch resolves the fundamental mechanical problem of device sharing by creating a dedicated, physical pathway for input signals, ensuring that the mouse behaves identically on all connected systems without the overhead and potential points of failure inherent in software-based approaches.