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Paper 1
From Qubits to Opinions: Operator and Error Syndrome Measurement in Quantum-Inspired Social Simulations on Transversal Gates
Yasuko Kawahata
- Year
- 2023
- Journal
- arXiv preprint
- DOI
- arXiv:2401.01902
- arXiv
- 2401.01902
This paper delves into the history and integration of quantum theory into areas such as opinion dynamics, decision theory, and game theory, offering a novel framework for social simulations. It introduces a quantum perspective for analyzing information transfer and decision-making complexity within social systems, employing a toric code-based method for error discrimination.Central to this research is the use of toric codes, originally for quantum error correction, to detect and correct errors in social simulations, representing uncertainty in opinion formation and decision-making processes. Operator and error syndrome measurement, vital in quantum computation, help identify and analyze errors and uncertainty in social simulations. The paper also discusses fault-tolerant computation employing transversal gates, which protect against errors during quantum computation. In social simulations, transversal gates model protection from external interference and misinformation, enhancing the fidelity of decision-making and strategy formation processes.
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Simulation of quantum computation with magic states via Jordan-Wigner transformations
Michael Zurel, Lawrence Z. Cohen, Robert Raussendorf
- Year
- 2023
- Journal
- arXiv preprint
- DOI
- arXiv:2307.16034
- arXiv
- 2307.16034
Negativity in certain quasiprobability representations is a necessary condition for a quantum computational advantage. Here we define a quasiprobability representation exhibiting this property with respect to quantum computations in the magic state model. It is based on generalized Jordan-Wigner transformations, and it has a close connection to the probability representation of universal quantum computation based on the $Λ$ polytopes. For each number of qubits, it defines a polytope contained in the $Λ$ polytope with some shared vertices. It leads to an efficient classical simulation algorithm for magic state quantum circuits for which the input state is positively represented, and it outperforms previous representations in terms of the states that can be positively represented.
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