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## Abstract

A while loop tests a termination condition on every iteration. On a quantum computer, such measurements perturb the evolution of the algorithm. We define a while loop primitive using weak measurements, offering a trade-off between the perturbation caused and the amount of information gained per iteration. This trade-off is adjusted with a parameter set by the programmer. We provide sufficient conditions that let us determine, with arbitrarily high probability, a worst-case estimate of the number of iterations the loop will run for. As an example, we solve Grover's search problem using a while loop and prove the quadratic quantum speed-up is maintained.

Original language | English |
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Article number | 025007 |

Number of pages | 21 |

Journal | Quantum Science and Technology |

Volume | 7 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1 Apr 2022 |

## Keywords

- programming primitive
- weak measurement
- while loop

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Dive into the research topics of 'Weakly measured while loops: peeking at quantum states'. Together they form a unique fingerprint.## Projects

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