Efficient classical computation of expectation values in a class of
quantum circuits with an epistemically restricted phase space representation
- URL: http://arxiv.org/abs/2106.10881v1
- Date: Mon, 21 Jun 2021 06:43:34 GMT
- Title: Efficient classical computation of expectation values in a class of
quantum circuits with an epistemically restricted phase space representation
- Authors: Agung Budiyono and Hermawan K. Dipojono
- Abstract summary: We devise a classical algorithm which efficiently computes the quantum expectation values arising in a class of continuous variable quantum circuits.
The classical computational algorithm exploits a specific restriction in classical phase space which directly captures the quantum uncertainty relation.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: We devise a classical algorithm which efficiently computes the quantum
expectation values arising in a class of continuous variable quantum circuits
wherein the final quantum observable | after the Heisenberg evolution
associated with the circuits | is at most second order in momentum. The
classical computational algorithm exploits a specific epistemic restriction in
classical phase space which directly captures the quantum uncertainty relation,
to transform the quantum circuits in the complex Hilbert space into classical
albeit unconventional stochastic processes in the phase space. The resulting
multidimensional integral is then evaluated using the Monte Carlo sampling
method. The work shows that for the specific class of computational schemes,
Wigner negativity is not a sufficient resource for quantum speedup. It
highlights the potential role of the epistemic restriction as an intuitive
conceptual tool which may be used to study the boundary between quantum and
classical computations.
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