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Related Concept Videos

Sampling Continuous Time Signal01:11

Sampling Continuous Time Signal

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In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
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Basic Continuous Time Signals01:22

Basic Continuous Time Signals

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Basic continuous-time signals include the unit step function, unit impulse function, and unit ramp function, collectively referred to as singularity functions. Singularity functions are characterized by discontinuities or discontinuous derivatives.
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Assessing blood pressure is a standard procedure executed in virtually all medical environments. The method utilized today was established over a hundred years ago by an innovative Russian doctor, Dr. Nikolai Korotkoff. The soft ticking noise, known as Korotkoff sounds, heard while taking blood pressure readings results from turbulent blood flow within the vessels. The apparatus required for this procedure includes a sphygmomanometer, a blood pressure cuff attached to a gauge, and a...
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Basic signal operations include time reversal, time scaling, time shifting, and amplitude transformations. These operations are fundamental in signal processing and analysis.
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The Fourier series is instrumental in representing periodic functions, offering a powerful method to decompose such functions into a sum of sinusoids. This technique, however, necessitates modification when applied to nonperiodic functions. Consider a pulse-train waveform consisting of a series of rectangular pulses. When these pulses have a finite period, they can be accurately represented by a Fourier series. Yet, as the period approaches infinity, resulting in a single, isolated pulse, the...
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Measuring blood pressure is a fundamental skill in healthcare that aids in diagnosing and monitoring hypertension and other cardiovascular conditions. An aneroid sphygmomanometer, commonly used in clinical settings, offers a manual and precise method for blood pressure measurement. The technique for using this instrument involves specific steps that must be carefully executed to ensure accuracy. The following detailed description outlines a two-step technique for assessing blood pressure using...
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Time-continuous Bell measurements.

Sebastian G Hofer1, Denis V Vasilyev, Markus Aspelmeyer

  • 1Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria and Institute for Theoretical Physics, Institute for Gravitational Physics (Albert Einstein Institute), Leibniz University Hannover, Callinstraße 38, 30167 Hannover, Germany.

Physical Review Letters
|November 12, 2013
PubMed
Summary
This summary is machine-generated.

We introduce time-continuous Bell measurements, a novel method for controlling quantum systems. This technique allows for deterministic entanglement and continuous teleportation, even with significant photon loss.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Control

Background:

  • Quantum systems require precise control for applications in computing and communication.
  • Bell measurements entangle quantum systems, while continuous measurements track their evolution.
  • Integrating these concepts offers new avenues for quantum state manipulation.

Purpose of the Study:

  • To develop and analyze time-continuous Bell measurements.
  • To derive the mathematical framework (stochastic Schrödinger equations and feedback master equations) for these measurements.
  • To demonstrate the versatility of this approach for controlling complex quantum systems and networks.

Main Methods:

  • Derivation of stochastic Schrödinger equations for time-continuous Bell measurements.
  • Formulation of unconditional feedback master equations.
  • Application to specific quantum systems, including two-level systems and light-mechanical oscillators.

Main Results:

  • Deterministic entanglement of two two-level systems is achieved via homodyne detection, tolerating up to 50% photon loss.
  • Continuous teleportation of a quantum state of light to a mechanical oscillator is demonstrated.
  • The demonstrated teleportation operates under conditions compatible with optomechanical ground-state cooling.

Conclusions:

  • Time-continuous Bell measurements offer a versatile and robust tool for quantum control.
  • This method enables deterministic entanglement and continuous quantum state transfer in realistic noisy environments.
  • The findings pave the way for advanced quantum technologies, including quantum networks and enhanced quantum sensing.