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Dicke states as matrix product 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.
Forward citations
Cited by 2 Pith papers
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Spin-$s$ $U(1)$-eigenstate preparation
A Gray-code-based quantum circuit prepares arbitrary fixed-digit-sum (U(1)) eigenstates of spin-s chains, yielding the first preparation of spin-s XXX Bethe states.
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Quantum computing in spin-adapted representations for efficient simulations of spin systems
Spin-path truncation plus symmetric-group rules yields sparse local qubit Hamiltonians for the Heisenberg model, with shallow adiabatic circuits reaching about 99 percent fidelity for N=16.
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