Abstract
Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources which are polynomial in the number of spins and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.
Highlights
Quantum simulations using well-controllable quantum systems to simulate the properties of another less tractable one [1,2] are expected to be able to predict the properties and dynamics of diverse systems in condensed matter [3,4], quantum chemistry [5], and high-energy physics [6,7]
We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics
This approach is universal and efficient, employing only resources that are polynomial in the number of spins, and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms
Summary
Quantum simulations using well-controllable quantum systems to simulate the properties of another less tractable one [1,2] are expected to be able to predict the properties and dynamics of diverse systems in condensed matter [3,4], quantum chemistry [5], and high-energy physics [6,7]. We perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup.
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