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Status: Unchecked ×Keyword: post-selection ×Clear all

2 claims from 1 paper

1. Computer Science › Quantum Computing Algorithms and Architecture

   The Expressive Power of Parameterized Quantum Circuits

   Yuxuan, Hsieh, Tongliang and Dacheng · arXiv (Cornell University) · 2018

   The paper argues that parameterised quantum circuits are more expressive than classical generative networks, shows post-selection adds power, and demonstrates a Bayesian quantum circuit in numerical experiments.

   Unchecked2 claims
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   1. UncheckedThe authors prove that simply structured parameterised quantum circuits beat any classical neural network at generative tasks, unless the polynomial hierarchy collapses.“In this paper, we prove that PQCs with a simple structure already outperform any classical neural network for generative tasks, unless the polynomial hierarchy collapses.”
   2. UncheckedParameterised quantum circuits with extra qubits used for post-selection are said to have greater expressive power than those without post-selection.“In addition, PQCs equipped with ancillary qubits for post-selection have even stronger expressive power than those without post-selection.”