Quantum computing is on the verge of a transition from fundamental research to practical applications. Yet, to make the step to large-scale quantum computation, an extensible qubit system has to be developed. In classical semiconductor technology, this was made possible by the invention of the integrated circuit, which allowed to interconnect large numbers of components without having to solder to each and every one of them. Similarly, we expect that the scaling of interconnections and control lines with the number of qubits will be a central bottleneck in creating large-scale quantum technology. Here, we define the quantum Rent's exponent p to quantify the progress in overcoming this challenge at different levels throughout the quantum computing stack. We further discuss the concept of quantum extensibility as an indicator of a platform's potential to reach the large quantum volume needed for universal quantum computing and review extensibility limits faced by different qubit implementations on the way towards truly large-scale qubit systems.
I. THE TYRANNY OF NUMBERSOne of the most significant advances in the field of quantum computation has been the invention of quantum error correction (QEC) [1][2][3]. While quantum bits (qubits) are delicate systems, these algorithms can enable fault-tolerant quantum computation with sophisticated correction codes tolerating error rates of up to 1% [2]. Similar values are already achieved or within reach for experimentally observed qubit infidelities across a range of different platforms [4][5][6][7][8][9][10][11]. However, a tradeoff between the tolerated error rates and the number of qubits has to be made. Quantum error correction can lead to an overhead between 10 3 and 10 4 physical qubits per logical qubit [2,12], such that millions or even billions of physical qubits will be required for practical applications. To host and control this daunting number of qubits, formidable requirements have to be met by different elements of the system, including interconnects, control electronics and quantum software. It is therefore essential to develop an extensible approach to the hardware and software throughout the full quantum computing stack.