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Two-qubit Stabilizer Circuits with Recovery I: Existence

Authors Wim van Dam , Raymond Wong

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Author Details

Wim van Dam
  • Department of Computer Science, Department of Physics, University of California, Santa Barbara, CA, USA
Raymond Wong
  • Department of Computer Science, University of California, Santa Barbara, CA, USA

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Wim van Dam and Raymond Wong. Two-qubit Stabilizer Circuits with Recovery I: Existence. In 13th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 111, pp. 7:1-7:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018) https://doi.org/10.4230/LIPIcs.TQC.2018.7

Abstract

In this paper, we further investigate the many ways of using stabilizer operations to generate a single qubit output from a two-qubit state. In particular, by restricting the input to certain product states, we discover probabilistic operations capable of transforming stabilizer circuit outputs back into stabilizer circuit inputs. These secondary operations are ideally suited for recovery purposes and require only one extra resource input to proceed. As a result of reusing qubits in this manner, we present an alternative to the original state preparation process that can lower the overall costs of executing a two-qubit stabilizer procedure involving non-stabilizer resources.

Subject Classification

ACM Subject Classification
  • Theory of computation → Quantum computation theory
Keywords
  • stabilizer circuit
  • recovery circuit
  • magic state

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