The realm of quantum computing has long been shrouded in mystery and intrigue, often described with phrases like “0 or 1 or both at the same time.” But what if we were to approach quantum computing from a more tangible perspective, one rooted in the physical world and the principles of analogue computation?

**1. The Limitations of Classical Binary Computing**

In the world of classical computing, each byte is processed as separate base-2 numbers, with only two possible states: on or off. This binary framework has been the backbone of our digital age and has served us remarkably well, primarily because the clear distinction between ‘on’ and ‘off’ offers fewer opportunities for error. However, while efficient, it’s not always the most effective for every computational challenge. Binary computers can model quantum computers, just incredibly slowly.

**2. Quantum Computing: The Base-4 Revolution**

The phrase “0 or 1 or both at the same time” might have its roots in the early days of quantum computing, where the idea of combining two bits to form a base-4 “qubit” was first introduced. This was more analogue than binary or ternary computers, but did not perform actual analogue calculations like a quantum computer does. In this realm, our computational machinery, from adders to processors, can operate in a quaternary system, processing numbers in base-4. I.e. There are 4 input states for each bit and all the functions on the processor such as ADD allow inputs with the combined number of states 4 bits can represent. This shift was significant. It allowed computers to tackle certain problems and certain datasets with an efficiency that far surpasses their classical counterparts.

**3. The Quantum State: A Physical Reality**

Contrary to popular belief, the quantum state isn’t some ethereal concept that exists beyond the confines of physics. Instead, it’s a very real, physical state. A qubit, for instance, represents a single state such as the speed of rotation of an electron in an atom. represented in the digital interface code as two analogue numbers that are probabilities of the result being 1 or 0, this state be “overlaid” on other qubits to perform calculations with analogue data. Busically a quantum add operation can be done by letting two atoms spins affect each other until they spin at the new combined speed yeilding a result. Similarly to a qubit, a qutrit represents 3 probabilities or mathematical dimensions, but is still one state. This nature allows quantum computers to process information in an analogue way that classical digital computers cannot. Some parts of a quantum computer might be digital or limited by the way it is represented as probabilities in a digital portion of the computer, read on for more on true analogue computing.

**4. True Analogue Quantum Computing**

The concept of true analogue quantum computing suggests a system devoid of any digital components, performing calculations entirely in the analogue domain. But they are read by a digital system and only some operations can be performed in a quantum state. As time goes on algorithms can be designed more and more to work directly with the analogue state and ideally entirely with the analogue state, negating the need for probabilities. This direct interaction with the quantum state can lead to more efficient and nuanced computational methods.

**5. Quantum Computing with Light Levels**

Beyond qubits and qutrits, there’s an exciting frontier where quantum computing meets optics. Some quantum systems are built using light levels, leveraging the unique properties of photons to perform computations. These optical quantum computers promise unparalleled speed and efficiency, further expanding the horizons of what’s possible in the quantum domain. Such as computers that rely on calculations using levels and states of light in a crystal based chip.

In conclusion, quantum computing, when viewed through the lens of analogue computation, offers a refreshing perspective that demystifies many of its complex concepts. By understanding that the quantum state is a physical reality and recognizing the analogue capabilities inherent in base-4 systems, we can better appreciate the revolutionary potential of quantum computers. Far from being a departure from the physical world, quantum computing is deeply rooted in it, bridging the gap between digital and analogue computation in unprecedented ways.