## Impossibility of determining the quantum wavefunction of a single system and a fundamental limit to external force detection |

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### Contents

Impossibility of Determining the Unknown Quantum Wavefunction | 9 |

Quantum NonDemolition QND Measurements of a Single System | 20 |

Measurements without Entanglement of a Single Quantum System | 50 |

Copyright | |

3 other sections not shown

### Common terms and phrases

a-priori known adiabatic measurement Aharonov beam splitter Brownian motion cavity center position correlation density operator detection via monitoring determining the quantum determining the unknown deterministic change driven free mass driven harmonic oscillator eigenstate energy eigenstate ensemble of identical equivalent estimate error expectation value external force detection fundamental quantum limit Heisenberg picture homodyne detection impossibility of determining initial quantum uncertainty limit to external measured observable measured system measurement without entanglement measurements performed ment number change number of measurements observable q obtained photon-number probability density photon-number QND measurements Physical Review Letters projection postulate protective measurement quadrature amplitudes quantum communication channel quantum harmonic oscillator quantum measurement quantum mechanics quantum Zeno effect reduction series of imprecise series of measurements series of quantum signal and probe single quantum system single squeezed wavepacket single system squeezed harmonic oscillator standard quantum limit statistics surement uncertainty associated uncertainty principle unitary time evolution wavepacket of light