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arXiv · 1305.5895

Compressed Simulation of evolutions of the XY-model

Walter L. Boyajian·Valentin Murg·Barbara Kraus
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Abstract

We extend the notion of compressed quantum simulation to the XY-model. We derive a quantum circuit processing log(n) qubits which simulates the 1D XY-model describing n qubits. In particular, we demonstrate how the adiabatic evolution can be realized on this exponentially smaller system and how the magnetization, which witnesses a quantum phase transition can be observed. Furthermore, we analyze several dynamical processes, like quantum quenching and finite time evolution and derive the corresponding compressed quantum circuit.

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Walter L. Boyajian, Valentin Murg, Barbara Kraus. 2013-06-18. Compressed Simulation of evolutions of the XY-model. https://doi.org/10.1103/physreva.88.052329

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