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arXiv · 0911.4795

Simulating local measurements on a quantum many body system with stochastic matrix product states

Søren Gammelmark·Klaus Mølmer
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Abstract

We demonstrate how to simulate both discrete and continuous stochastic evolution of a quantum many body system subject to measurements using matrix product states. A particular, but generally applicable, measurement model is analyzed and a simple representation in terms of matrix product operators is found. The technique is exemplified by numerical simulations of the anti-ferromagnetic Heisenberg spin-chain model subject to various instances of the measurement model. In particular we focus on local measurements with small support and non-local measurements which induces long range correlations.

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Søren Gammelmark, Klaus Mølmer. 2009-11-25. Simulating local measurements on a quantum many body system with stochastic matrix product states. https://doi.org/10.1103/physreva.81.012120

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