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Article Dans Une Revue Phys.Rev.C Année : 2023

Restoring broken symmetries using oracles

Résumé

We present a new method to perform variation after projection in many-body systems on quantum computers that does not require performing explicit projection. The technique employs the notion of ``oracle'', generally used in quantum search algorithms. We show how to construct the oracle and the projector associated with a symmetry operator. The procedure is illustrated for the parity, particle number, and total spin symmetries. The oracle is used to restore symmetry by indirect measurements using a single ancillary qubit. An Illustration of the technique is made to obtain the approximate ground state energy for the pairing model Hamiltonian.

Dates et versions

hal-03838285 , version 1 (03-11-2022)

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Edgar Andres Ruiz Guzman, Denis Lacroix. Restoring broken symmetries using oracles. Phys.Rev.C, 2023, 107 (3), pp.034310. ⟨10.1103/PhysRevC.107.034310⟩. ⟨hal-03838285⟩
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