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Starting from the Quantum-Phase-Estimate (QPE) algorithm, a method isproposed to construct entangled states that describe correlated many-bodysystems on quantum computers. Using operators for which the discrete set ofeigenvalues is known, the QPE approach is followed by measurements that serveas projectors on the entangled states. These states can then be used as inputsfor further quantum or hybrid quantum-classical processing. When the operatoris associated to a symmetry of the Hamiltonian, the approach can be seen as aquantum--computer formulation of symmetry breaking followed by symmetryrestoration. The method proposed in this work, called Discrete Spectra Assisted(DSA), is applied to superfluid systems. By using the blocking techniqueadapted to qubits, the full spectra of a pairing Hamiltonian is obtained.

Symmetry assisted preparation of entangled many-body states on a quantum computer