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• W1569796039 abstract "The stabilizer formalism is a scheme, generalizing well-known techniques developed by Gottesman [quant-ph/9705052] in the case of qubits, to efficiently simulate a class of transformations (stabilizer circuits, which include the quantum Fourier transform and highly entangling operations) on standard basis states of d-dimensional qudits. To determine the state of a simulated system, existing treatments involve the computation of cumulative phase factors which involve quadratic dependencies. We present a simple formalism in which Pauli operators are represented using displacement operators in discrete phase space, expressing the evolution of the state via linear transformations modulo D <= 2d. We thus obtain a simple proof that simulating stabilizer circuits on n qudits, involving any constant number of measurement rounds, is complete for the complexity class coMod_{d}L and may be simulated by O(log(n)^2)-depth boolean circuits for any constant d >= 2." @default.
• W1569796039 created "2016-06-24" @default.
• W1569796039 creator A5019353647 @default.
• W1569796039 date "2013-01-01" @default.
• W1569796039 modified "2023-09-24" @default.
• W1569796039 title "A linearized stabilizer formalism for systems of finite dimension" @default.
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• W1569796039 doi "https://doi.org/10.26421/qic13.1-2-6" @default.
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