Quantum stroboscopy for time measurements

• URL: http://arxiv.org/abs/2507.17740v1
• Date: Wed, 23 Jul 2025 17:55:04 GMT
• Title: Quantum stroboscopy for time measurements
• Authors: Seth Lloyd, Lorenzo Maccone, Lionel Martellini, Simone Roncallo,
• Abstract summary: Mielnik's cannonball argument uses the Zeno effect to argue that projective measurements for time of arrival are impossible.<n>In addition to time of arrival, quantum stroboscopy can describe distributions of general time measurements.
• Score: 3.499870393443268
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Mielnik's cannonball argument uses the Zeno effect to argue that projective measurements for time of arrival are impossible. If one repeatedly measures the position of a particle (or a cannonball!) that has yet to arrive at a detector, the Zeno effect will repeatedly collapse its wavefunction away from it: the particle never arrives. Here we introduce quantum stroboscopic measurements where we accumulate statistics of projective position measurements, performed on different copies of the system at different times, to obtain a time-of-arrival distribution. We show that, under appropriate limits, this gives the same statistics as time measurements of conventional ``always on'' particle detectors, that bypass Mielnik's argument using non-projective, weak continuous measurements. In addition to time of arrival, quantum stroboscopy can describe distributions of general time measurements.

Related papers

• Randomly measured quantum particle [0.0]
  We consider the motion of a quantum particle whose position is measured in random places at random moments in time.<n>We show that a freely moving particle measured in this way undergoes superdiffusion, while a charged particle moving in a magnetic field confined to the lowest Landau level undergoes conventional diffusion.
  arXiv  Detail & Related papers  (2025-04-07T20:18:30Z)
• Effect of measurements on quantum speed limit [0.0]
  We show that under continuous measurement, the speed of transportation of a quantum system tends to zero. For small time scale, there is an enhancement of quantum speed even if the measurement strength is finite. Our findings can have applications in quantum computing and quantum control where dynamics is governed by both unitary and measurement processes.
  arXiv  Detail & Related papers  (2024-06-13T11:14:22Z)
• Photon Counting Interferometry to Detect Geontropic Space-Time Fluctuations with GQuEST [31.114245664719455]
  The GQuEST experiment uses tabletop-scale Michelson laser interferometers to probe for fluctuations in space-time.<n>We present a practicable interferometer design featuring a novel photon counting readout method that provides unprecedented sensitivity.
  arXiv  Detail & Related papers  (2024-04-11T07:38:36Z)
• On Repeated Measurements of a Quantum Particle in a Harmonic Potential [0.0]
  We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. We show how classical trajectories emerge in course of observation and study in detail dispersion of position and momentum of the particle.
  arXiv  Detail & Related papers  (2023-06-14T08:18:38Z)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware [62.997667081978825]
  We observe partial and infinite-temperature thermalization on a quantum superconducting processor. We show that the convergence does not tend to a completely mixed (infinite-temperature) state, but to a block-diagonal state in the observable basis.
  arXiv  Detail & Related papers  (2022-11-14T15:18:11Z)
• Quantum Dynamics under continuous projective measurements: non-Hermitian description and the continuous space limit [0.0]
  The time of arrival of a quantum system in a specified state is considered in the framework of the repeated measurement protocol. For a particular choice of system-detector coupling, the Zeno effect is avoided and the system can be described effectively by a non-Hermitian effective Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-02T13:29:22Z)
• How long does it take to implement a projective measurement? [0.0]
  We show that the implementation of a quantum measurement requires a minimum time. This time scales proportionally with the diameter of the quantum mechanical object, on which the measured observable acts non-trivially.
  arXiv  Detail & Related papers  (2020-11-26T11:54:13Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)
• Projection evolution and quantum spacetime [68.8204255655161]
  We discuss the problem of time in quantum mechanics. An idea of construction of a quantum spacetime as a special set of the allowed states is presented. An example of a structureless quantum Minkowski-like spacetime is also considered.
  arXiv  Detail & Related papers  (2019-10-24T14:54:11Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.