〒223-8522 横浜市港北区日吉3-14-1
Speaker: Prof. Tomotaka Kuwahara (RIKEN AIP/ Keio University)
Title: Classical and quantum simulation of quantum Gibbs state
Abstract: We consider quantum Gibbs states with Hamiltonians on arbitrary graphs (i.e., including infinite dimensional systems or long-range interacting systems).
The simulation of such states is known to be usually NP-hard to due to exponentially increasing parameters. However, when we restrict ourselves to high-temperature regime, various problems become significantly simple. In this regime, any kinds of non-local structures are believed to disappear, and it is a crucial problem how to characterize the absence of non-local structures in the quantum Gibbs state. In the present seminar, we prove the following fundamental properties above a certain threshold temperature: i) existence of the fully-polynomial-time-approximation scheme to simulate thermodynamic properties, ii) quantum approximate Markov property.
time: 10:45 - 11:45 + 30min.
place: Yagami campus, Keio Univ.
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