Related papers: Dicke states as matrix product states

Dicke states as matrix product states

URL: http://arxiv.org/abs/2408.04729v2
Date: Sat, 23 Nov 2024 15:40:47 GMT
Title: Dicke states as matrix product states
Authors: David Raveh, Rafael I. Nepomechie,
Abstract summary: We derive an exact canonical matrix product state (MPS) representation for Dicke states $|Dn_krangle$ with minimal bond dimension $chi=k+1$. We also find exact canonical MPS representations with minimal bond dimension for higher-spin and qudit Dicke states.
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Abstract: We derive an exact canonical matrix product state (MPS) representation for Dicke states $|D^n_k\rangle$ with minimal bond dimension $\chi=k+1$, for general values of $n$ and $k$, for which the W-state is the simplest case $k=1$. We use this MPS to formulate a quantum circuit for sequentially preparing Dicke states deterministically, relating it to the recursive algorithm of B\"artschi and Eidenbenz. We also find exact canonical MPS representations with minimal bond dimension for higher-spin and qudit Dicke states.

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