Understanding complex quantum matter presents a central challenge incondensed matter physics. The difficulty lies in the exponential scaling of theHilbert space with the system size, making solutions intractable for bothanalytical and conventional numerical methods. As originally envisioned byRichard Feynman, this class of problems can be tackled using controllablequantum simulators. Despite many efforts, building an quantum emulator capableof solving generic quantum problems remains an outstanding challenge, as thisinvolves controlling a large number of quantum elements. Here, employing amulti-element superconducting quantum circuit and manipulating a singlemicrowave photon, we demonstrate that we can simulate the weak localizationphenomenon observed in mesoscopic systems. By engineering the control sequencein our emulator circuit, we are also able to reproduce the well-knowntemperature dependence of weak localization. Furthermore, we can use ourcircuit to continuously tune the level of disorder, a parameter that is notreadily accessible in mesoscopic systems. By demonstrating a high level ofcontrol and complexity, our experiment shows the potential for superconductingquantum circuits to realize scalable quantum simulators.
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