Nonunitary gates using measurements only
- URL: http://arxiv.org/abs/2312.17325v1
- Date: Thu, 28 Dec 2023 19:00:40 GMT
- Title: Nonunitary gates using measurements only
- Authors: Daniel Azses, Jonathan Ruhman, Eran Sela
- Abstract summary: Measurement-based quantum computation (MBQC) is a universal platform to realize unitary gates.
We show that MBQC circuits always transmit and act on the input state but generally realize nonunitary logical gates.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Measurement-based quantum computation (MBQC) is a universal platform to
realize unitary gates, only using measurements which act on a pre-prepared
entangled resource state. By deforming the measurement bases, as well as the
geometry of the resource state, we show that MBQC circuits always transmit and
act on the input state but generally realize nonunitary logical gates. In
contrast to the stabilizer formalism which is often used for unitary gates, we
find that ZX calculus is an ideal computation method of these nonunitary gates.
As opposed to unitary gates, nonunitary gates can not be applied with
certainty, due to the randomness of quantum measurements. We maximize the
success probability of realizing nonunitary gates, and discuss applications
including imaginary time evolution, which we demonstrate on a noisy
intermediate scale quantum device.
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