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Dicke states as matrix product states
David Raveh, Rafael I. Nepomechie
We derive an exact canonical matrix product state (MPS) representation for Dicke states with minimal bond dimension , for general values of and , for…
Estimating Bethe roots with VQE
David Raveh, Rafael I. Nepomechie
Bethe equations, whose solutions determine exact eigenvalues and eigenstates of corresponding integrable Hamiltonians, are generally hard to solve. We implement a Variational Quant…
Deterministic Bethe state preparation
David Raveh, Rafael I. Nepomechie
We present an explicit quantum circuit that prepares an arbitrary -eigenstate on a quantum computer, including the exact eigenstates of the spin-1/2 XXZ quantum spin chain wi…
Spin-s Dicke states and their preparation
Rafael I. Nepomechie, Francesco Ravanini, David Raveh
We introduce the notion of spin- Dicke states, which are higher-spin generalizations of usual (spin-1/2) Dicke states. These multi-qudit states can be expressed as super…
Entanglement of free-fermion systems, signal processing and algebraic combinatorics
Pierre-Antoine Bernard, Nicolas Crampé, Rafael I. Nepomechie +2
This paper offers a review of recent studies on the entanglement of free-fermion systems on graphs that take advantage of methods pertaining to signal processing and algebraic comb…