Restoring symmetries in quantum computing using Classical Shadows
- URL: http://arxiv.org/abs/2311.04571v1
- Date: Wed, 8 Nov 2023 10:11:01 GMT
- Title: Restoring symmetries in quantum computing using Classical Shadows
- Authors: Edgar Andres Ruiz Guzman and Denis Lacroix
- Abstract summary: We introduce a method to enforce some symmetries starting from a trial wave-function prepared on quantum computers that might not respect these symmetries.
We show that the present scheme can be competitive to predict observables on symmetry-restored states once optimization through derandomization is employed.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a method to enforce some symmetries starting from a trial
wave-function prepared on quantum computers that might not respect these
symmetries. The technique eliminates the necessity for performing the
projection on the quantum computer itself. Instead, this task is conducted as a
post-processing step on the system's "Classical Shadow". Illustrations of the
approach are given for the parity, particle number, and spin projectors that
are of particular interest in interacting many-body systems. We compare the
method with another classical post-processing technique based on direct
measurements of the quantum register. We show that the present scheme can be
competitive to predict observables on symmetry-restored states once
optimization through derandomization is employed. The technique is illustrated
through its application to compute the projected energy for the pairing model
Hamiltonian.
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