Continuous-monitoring measured signals bounded by past and future conditions in enlarged quantum systems

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1 Citation (Scopus)


In a quantum system that is bounded by past and future conditions, weak continuous-monitoring forward-evolving and backward-evolving quantum states are usually carried out separately. Therefore, measured signals at a given time t cannot be monitored continuously. Here, we propose an enlarged quantum system method to combine these two processes together. Therein, we introduce an enlarged quantum state that contains both the forward- and backward-evolving quantum states. The enlarged state is governed by an enlarged master equation and propagates one-way forward in time. As a result, the measured signals at time t can be monitored continuously and can provide advantages in the signals amplification and signal processing techniques. Our proposal can be implemented on various physical systems, such as superconducting circuits, NMR systems, ion traps, quantum photonics, and among others.

Original languageEnglish
Article number206
JournalQuantum Information Processing
Issue number7
Publication statusPublished - 2019 Jul 1
Externally publishedYes


  • Continuous monitoring
  • Enlarged systems
  • Weak values

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Statistical and Nonlinear Physics
  • Theoretical Computer Science
  • Signal Processing
  • Modelling and Simulation
  • Electrical and Electronic Engineering


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